Download or read book Comparing Dynamic System Models with Additive Uncertainty written by Aditya Karumanchi and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the complexity of the operational design domain of Automated Driving Systems, the industry is trending towards the use of simulation-based methods for their verification and validation (V\&V), which rely on the use of models of the vehicles, sensors, vehicle environments, etc. Depending on the testing requirements, computational capabilities, modeling effort, and other such factors, these models can vary in fidelity. However, this variation in fidelity has an effect on the excitation of the control systems under test, and can therefore affect the results of the tests themselves. Moreover, since every model is an approximation of the actual physical system it represents, there is uncertainty associated with its output. Therefore, we need to be able to compare uncertain system models in order to understand the effect of model fidelity variation on test accuracy. The existing metrics such as Hankel Singular Values compare asymptotic behavior of the models, whereas simulation studies are over finite time. Although some of these metrics may be applied over finite time, they rely on hyper-parameters like weights on time or frequency. In this study, we propose an approach for computing a (pseudo)metric based on the literature for comparing the predictive performance of two models, called finite-time Kullback-Leibler (KL) rate. For any two general state space models with a general additive uncertainty, we first discuss an approach for propagating a general additive uncertainty (represented as a Gaussian Mixture Model (GMM) ) through a linear time-invariant system. We then apply this propagation approach to linear representations of nonlinear systems obtained through Dynamic Mode Decomposition (DMD). We illustrate this combined approach for the comparison of two lateral vehicle dynamics models over an obstacle avoidance maneuver to measure the effect of fidelity on the predictive performance of each model. We also apply this to a \vv problem, wherein we compare the application of the two vehicle dynamics models to reference vehicle trajectories. We see that the KL rate depends not only on the differences in the asymptotic spectral properties of each model, but also on the trajectory being simulated. Through these methods, we illustrate a process for comparing models of different fidelity over relevant trajectories. This enables us to understand which model is most appropriate for a particular scenario in a virtual test. We also show that the variation in the comparison metric can be connected to the phase space of the system. This enables us to use thresholds on the metric to decide when to switch between models of different fidelity.

Download or read book Dynamics under Uncertainty written by Dragan Pamucar and published by MDPI. This book was released on 2021-09-08 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of systems have proven to be very powerful tools in understanding the behavior of different natural phenomena throughout the last two centuries. However, the attributes of natural systems are observed to deviate from their classical states due to the effect of different types of uncertainties. Actually, randomness and impreciseness are the two major sources of uncertainties in natural systems. Randomness is modeled by different stochastic processes and impreciseness could be modeled by fuzzy sets, rough sets, Dempster–Shafer theory, etc.

Download or read book Robust Control of Uncertain Dynamic Systems written by Rama K. Yedavalli and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook aims to provide a clear understanding of the various tools of analysis and design for robust stability and performance of uncertain dynamic systems. In model-based control design and analysis, mathematical models can never completely represent the “real world” system that is being modeled, and thus it is imperative to incorporate and accommodate a level of uncertainty into the models. This book directly addresses these issues from a deterministic uncertainty viewpoint and focuses on the interval parameter characterization of uncertain systems. Various tools of analysis and design are presented in a consolidated manner. This volume fills a current gap in published works by explicitly addressing the subject of control of dynamic systems from linear state space framework, namely using a time-domain, matrix-theory based approach. This book also: Presents and formulates the robustness problem in a linear state space model framework. Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical engineering. Provides connections between lyapunov-based matrix approach and the transfer function based polynomial approaches. Robust Control of Uncertain Dynamic Systems: A Linear State Space Approach is an ideal book for first year graduate students taking a course in robust control in aerospace, mechanical, or electrical engineering.

Download or read book Identification and Classical Control of Linear Multivariable Systems written by V. Dhanya Ram and published by Cambridge University Press. This book was released on 2022-09-30 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most systems involved in a chemical process plant are interactive multivariable systems, to control which, the transfer function matrix model is required. This lucid book considers the identification and control of such systems. It discusses open loop and closed loop identification methods, as well as the design of multivariable controllers based on steady state gain matrix. Simple methods for designing controllers based on transfer function matrix model have been reviewed. The design of controllers for non-square systems, and closed loop identification of multivariable unstable systems by the optimization method are also covered. Several simulation examples and exercise problems at the end of each chapter further help the reader consolidate the knowledge gained. This book will be useful to any engineering student, researcher or practitioner who works with interactive, multivariable control systems.

Download or read book Command and Diagnosis of Dynamic Systems written by Rosario Toscano and published by Cambridge Scholars Publishing. This book was released on 2024-07-09 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book delves into the complex field of dynamic systems engineering, exploring two fundamental pillars: an introduction to the modeling, analysis and control of dynamic systems, as well as fault diagnosis based on a dynamic system model. From this point of view, this work is divided in two parts. The first part is devoted to techniques of modeling, analysis and control of stems. The application examples serve to reinforce the theoretical concepts presented. The second part is dedicated to the diagnosis of faults in dynamic systems. Defects and anomalies pose significant challenges for the reliability and performance of dynamic systems. This second part focuses on model-based techniques for detecting, isolating, and mitigating defects. Through a systematic review of fault detection algorithms and diagnostic tools, readers are equipped with the tools necessary to identify and remedy potential system failures.

Download or read book Multivariable Control Systems written by Pedro Albertos and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on control design with continual references to the practical aspects of implementation. While the concepts of multivariable control are justified, the book emphasizes the need to maintain student interest and motivation over exhaustively rigorous mathematical proof.

Download or read book Handbook of Dynamic System Modeling written by Paul A. Fishwick and published by CRC Press. This book was released on 2007-06-01 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of dynamic models tends to be splintered across various disciplines, making it difficult to uniformly study the subject. Moreover, the models have a variety of representations, from traditional mathematical notations to diagrammatic and immersive depictions. Collecting all of these expressions of dynamic models, the Handbook of Dynamic Sy

Download or read book A Method of Frequency Domain Error Modeling to Predict the Probability of Stability and Performance of Dynamic Systems with Parametric Uncertainty written by Richard A. Carpenter and published by . This book was released on 2012 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work a method is developed for modeling frequency domain error in dynamic systems with parametric uncertainty. Within any mass-manufactured dynamic system, parameters such as masses, springs or geometrical attributes can vary from one system to the next. Overall performance or stability of the system can therefore be a function of the extent of uncertainty within the physical parameters. In typical robust control designs, uncertainty models work to account for all possible error within the system. The error modeling approach presented here is unique in that only a fraction of possible error is represented by the model. Validation of the uncertainty modeling technique was completed on a pilot operated proportional control valve. Thirty replications of the pilot stage of the proportional control valve were obtained and tested with one main stage. An uncertainty model which takes into account only a fraction of error is formed based on simulated frequency response data from an analytical model. A comparison is presented of two different control designs, a mixed sensitivity H-infinity and a proportional controller. The controllers are implemented in a closed-loop experimental setup in which all 30 pilot valves were retested. This study is shown to verify the ability of the robustness analysis utilizing the uncertainty model to approximate the probability of a system obtaining performance or stability specifications given parametric uncertainty within the system.

Download or read book Uncertain Dynamic Systems written by Fred C. Schweppe and published by Prentice Hall. This book was released on 1973 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multivariable Control Systems written by P. Albertos Pérez and published by Springer Science & Business Media. This book was released on 2004 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable Control Systems focuses on control design with continual references to the practical aspects of implementation. While the concepts of multivariable control are justified, the book emphasises the need to maintain student interest and motivation over exhaustive mathematical proof. Tools of analysis and representation are always developed as methods for achieving a final control system design and evaluation. Features: • design implementation laid out using extensive reference to MATLAB®; • combined consideration of systems (plant) and signals (mainly disturbances); • step-by-step approach from the objectives of multivariable control to the solution of complete design problems. Multivariable Control Systems is an ideal text for graduate students or for final-year undergraduates looking for more depth than provided by introductory textbooks. It will also interest the control engineer practising in industry and seeking to implement robust or multivariable control solutions to plant problems.

Download or read book Uncertainty Analysis of Optimal Dynamic Linear System Models written by Lee Mazurek and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear time invariant system models are insufficient for physical systems which have deterministic or stochastic time varying parameters. These parameters can be important to system performance, as in the case of a vehicle suspension, or safety, as in the case of a structural health monitoring problem. Time varying models are difficult to uniquely identify because they can have many parameters. For deterministic systems, researchers often assume input bases of variation or assume the bandwidth of variation. For stochastic systems, researchers often assume the correlation structure of the system parameters and the input. This thesis presents the novel application of matrix calculus methods which allow an analyst to choose the assumed portions of a system model's structure in order to find unknown system coefficients uniquely. These structured system identification methods are used to provide solutions for the time varying impulse response, or the novel solution for input-time variation of example systems. Traditional optimal and adaptive identification methods are also reproduced by this framework. Consistent methods are derived to evaluate the coherence and variance for any structured system model. The results presented in this thesis allow novel and traditional identification methods to be analyzed in a common structured identification framework. Traditional and novel model structures are compared using a suspension and structural health monitoring problem to show where novel methods improve prediction error and improve the understanding of model variance terms. Future work is expected to find additional useful model structures and solution methods based on this framework.

Download or read book Robust Aeroservoelastic Stability Analysis written by Rick Lind and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology impacts all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computer methods, new applications, new philosophies, . . . . , new challenges. Much of this deVelopment work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. The high performance control systems applications in aerospace and astronautics almost have a tradition of exploiting the most advanced control theoretical developments first. The optimal control and ffitering paradigm associated with the names of Kalman, Bucy, Anderson and Moore found application in the astronautics of the 1960'S and 1970'S. At the beginning of the 1980'S, control theory moved on to robustness, singular values and mu-analysis. This new work was associated with the names of Zames, Doyle, Glover, Balas among others. The Advances in Industrial Control monograph series have published several volumes over the years which have archived the applications experience garnered from applying robust control to the aerospace sector problems. Rick Lind and Marty Brenner add to this set with their volume on robust aeroservoelastic stability. This volume reports the application of the structured singular value to aeroelastic and aeroservoelastic aerospace problems.

Download or read book Cybernetics Approaches in Intelligent Systems written by Radek Silhavy and published by Springer. This book was released on 2017-09-04 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses new approaches and methods in the cybernetics, algorithms and software engineering in the scope of the intelligent systems. It brings new approaches and methods to real-world problems and exploratory research that describes novel approaches in the cybernetics, algorithms and software engineering in the scope of the intelligent systems. This book constitutes the refereed proceedings of the Computational Methods in Systems and Software 2017, a conference that provided an international forum for the discussion of the latest high-quality research results in all areas related to computational methods, statistics, cybernetics and software engineering.

Download or read book Computer Aided Design of Multivariable Technological Systems written by G. G. Leininger and published by Elsevier. This book was released on 2014-05-16 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Aided Design of Multivariable Technological Systems covers the proceedings of the Second International Federation of Automatic Control (IFAC). The book reviews papers that discuss topics about the use of Computer Aided Design (CAD) in designing multivariable system, such as theoretical issues, applications, and implementations. The book tackles several topics relevant to the use of CAD in designing multivariable systems. Topics include quasi-classical approach to multivariable feedback system designs; fuzzy control for multivariable systems; root loci with multiple gain parameters; multivariable frequency domain stability criteria; and computational algorithms for pole assignment in linear multivariable systems. The text will be of great use to professionals whose work involves designing and implementing multivariable systems.

Download or read book Robustness of Dynamic Systems with Parameter Uncertainties written by M. Mansour and published by Birkhauser. This book was released on 1992 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Assessing the Reliability of Complex Models written by National Research Council and published by National Academies Press. This book was released on 2012-07-26 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in computing hardware and algorithms have dramatically improved the ability to simulate complex processes computationally. Today's simulation capabilities offer the prospect of addressing questions that in the past could be addressed only by resource-intensive experimentation, if at all. Assessing the Reliability of Complex Models recognizes the ubiquity of uncertainty in computational estimates of reality and the necessity for its quantification. As computational science and engineering have matured, the process of quantifying or bounding uncertainties in a computational estimate of a physical quality of interest has evolved into a small set of interdependent tasks: verification, validation, and uncertainty of quantification (VVUQ). In recognition of the increasing importance of computational simulation and the increasing need to assess uncertainties in computational results, the National Research Council was asked to study the mathematical foundations of VVUQ and to recommend steps that will ultimately lead to improved processes. Assessing the Reliability of Complex Models discusses changes in education of professionals and dissemination of information that should enhance the ability of future VVUQ practitioners to improve and properly apply VVUQ methodologies to difficult problems, enhance the ability of VVUQ customers to understand VVUQ results and use them to make informed decisions, and enhance the ability of all VVUQ stakeholders to communicate with each other. This report is an essential resource for all decision and policy makers in the field, students, stakeholders, UQ experts, and VVUQ educators and practitioners.

Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.