Download or read book Control of Linear Systems with Regulation and Input Constraints written by Ali Saberi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph couples output regulation with several recent developments in modern control theory. It re-examines output regulation theory to achieve a design of controllers that take into account the physical limiting characteristics of actuators such as saturation. The book provides a solution to the basic problem of finding a controller that achieves internal stabilization, results in a desired performance norm, and renders asymptotic tracking of a reference signal even in the presence of persistent disturbances.
Download or read book Control of Linear Systems Subjet to Constraints written by Guoyong Shi and published by . This book was released on 2002 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Saturated Control of Linear Systems written by Abdellah Benzaouia and published by Springer. This book was released on 2017-09-20 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a combination of two main problems for the first time. They are saturation on control and on the rate (or increment) of the control, and the solution of unsymmetrical saturation on the control by LMIs. It treats linear systems in state space form, in both the continuous- and discrete-time domains. Necessary and sufficient conditions are derived for autonomous linear systems with constrained state increment or rate, such that the system evolves respecting incremental or rate constraints if any. A pole assignment technique is then used to solve the problem, giving stabilizing state feedback controllers that respect non-symmetrical constraints on control alone or on both control and its increment or rate. Illustrative examples show the application of these methods on academic examples or on such real plant models as the double integrator system. This problem is then extended to various others including: systems with constraints and perturbations; singular systems with constrained control; systems with unsymmetrical saturations; saturated systems with delay, and 2-D systems with saturations. The solutions obtained are of two types: necessary and sufficient conditions solved with linear programming techniques; and sufficient conditions under LMIs. A new approach extends existing techniques for dealing with symmetrical saturations to take direct account of unsymmetrical saturations into account with LMIs. This tool enables the authors to obtain new results on continuous- and discrete-time systems. The book uses illustrative examples and figures and provides many comparisons with existing results. Systems theoreticians interested in multidimensional systems and practitioners working with saturated and constrained controllers will find the research and background presented in Saturated Control of Linear Systems to be of considerable interest in helping them overcome problems with their plant and in stimulating further research.
Download or read book Internal and External Stabilization of Linear Systems with Constraints written by Ali Saberi and published by Springer Science & Business Media. This book was released on 2012-06-21 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and design of linear systems with general state and input constraints. For such systems, which can be used as models for most nonlinear systems, the issues of stability, controller design, additonal constraints, and satisfactory performance are addressed. The book is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. It may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design.
Download or read book Approximations to the Optimal Control of Linear Systems Subject to State Variable Constraints by Use of Linear Programming Techniques written by August Frederick Fath and published by . This book was released on 1967 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Constrained Optimal Control of Linear and Hybrid Systems written by Francesco Borrelli and published by Springer. This book was released on 2014-03-12 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.
Download or read book Time Sub optimal Control of a Class of Linear Systems Subject to Several Simultaneous Input Constraints written by Arthur Van Gelder and published by . This book was released on 1968 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Robust Control of Linear Systems Subject to Uncertain Time Varying Parameters written by Francesco Amato and published by Springer Science & Business Media. This book was released on 2006-02-21 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability and Stabilization of Linear Systems with Saturating Actuators written by Sophie Tarbouriech and published by Springer Science & Business Media. This book was released on 2011-08-13 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.
Download or read book Linear Systems written by Alok Sinha and published by CRC Press. This book was released on 2007-01-31 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Balancing rigorous theory with practical applications, Linear Systems: Optimal and Robust Control explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems. Developed as a two-course book, this self-contained text first discusses linear systems, incl
Download or read book Nonlinear Control of Constrained Linear Systems written by Warren Richard Schroeder and published by . This book was released on 1997 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis and Control of Linear Systems written by Philippe de Larminat and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automation of linear systems is a fundamental and essential theory. This book deals with the theory of continuous-state automated systems.
Download or read book Minimal Time Control of Linear Systems with Two Input Constraints written by M. J. Stewart and published by . This book was released on 1966 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computation in Constrained Stochastic Model Predictive Control of Linear Systems written by Minyong Shin and published by Stanford University. This book was released on 2011 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite its sub-optimality, Model Predictive Control (MPC) has received much attention over the recent decades due to its ability to handle constraints. In particular, stochastic MPC, which includes uncertainty in the system dynamics, is one of the most active recent research topics in MPC. In this dissertation, we focus on (1) increasing computation speed of constrained stochastic MPC of linear systems with additive noise and, (2) improving the accuracy of an approximate solution involving systems with additive and multiplicative noise. Constrained MPC for linear systems with additive noise has been successfully formulated as a semidefinite programming problem (SDP) using the Youla parameterization or innovation feedback and linear matrix inequalities. Unfortunately, this method can be prohibitively slow even for problems with moderate size state. Thus, in this thesis we develop an interior point algorithm which can more efficiently solve the problem. This algorithm converts the stochastic problem into a deterministic one using the mean and the covariance matrix as the system state and using affine feedback. A line search interior point method is then directly applied to the nonlinear deterministic optimization problem. In the process, we take advantage of a recursive structure that appears when a control problem is solved via the line search interior point method in order to decrease the algorithmic complexity of the solution. We compare the computation time and complexity of our algorithm against an SDP solver. The second part of the dissertation deals with systems with additive and multiplicative noise under probabilistic constraints. This class of systems differs from the additive noise case in that the probability distribution of a state is neither Gaussian nor known in closed form. This causes a problem when the probability constraints are dealt with. In previous studies, this problem has been tackled by approximating the state as a Gaussian random variable or by approximating the probability bound as an ellipsoid. In this dissertation, we use the Cornish-Fisher expansion to approximate the probability bounds of the constraints. Since the Cornish-Fisher expansion utilizes quantile values with the first several moments, the probabilistic constraints have the same form as those in the additive noise case when the constraints are converted to deterministic ones. This makes the procedure smooth when we apply the developed algorithm to a linear system with multiplicative noise. Moreover, we can easily extend the application of the algorithm to a linear system with additive plus multiplicative noise.
Download or read book Predictive Control for Linear and Hybrid Systems written by Francesco Borrelli and published by Cambridge University Press. This book was released on 2017-06-22 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).
Download or read book Optimum control of linear systems with norm constraints written by Richard Bertrand Vinter and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Control Design for Linear Systems Practice Book written by Cristiano Maria Verrelli and published by Società Editrice Esculapio. This book was released on 2023-11-06 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Control Design for Linear Systems - Practice book is a concise exercise book for students of applied mathematics and engineering who are interested in testing their basic abilities in the design of linear control algorithms, as well as in the analysis of dynamical systems described by linear ordinary differential equations. It can be used as a useful tool to recap the basic concepts of systems theory and automatic control before tackling more advanced control courses. Just a fine selection of exercises that own a physical flavor are reported. Matlab codes and figures are included.
