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Book A Study of Synthesis Techniques for Optimal Controllers

Download or read book A Study of Synthesis Techniques for Optimal Controllers written by B. Paiewonsky and published by . This book was released on 1964 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report is organized as follows. A general discussion of optimal control precedes a section devoted to the mathe matical aspects of optimization. Stochastic problems are taken up next and this is followed by a section on two-point boundary problems. In many cases the main problem is to find an extreme value of a function of several variables. There is a section describing methods for doing this. The sections on synthesis procedures, computational studies and conclusions complete the main portion of the report.

Book Study of Synthesis Techniques for Insensitive Aircraft Control Systems

Download or read book Study of Synthesis Techniques for Insensitive Aircraft Control Systems written by C. A. Harvey and published by . This book was released on 1977 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Discrete Time Inverse Optimal Control for Nonlinear Systems

Download or read book Discrete Time Inverse Optimal Control for Nonlinear Systems written by Edgar N. Sanchez and published by CRC Press. This book was released on 2017-12-19 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time Inverse Optimal Control for Nonlinear Systems proposes a novel inverse optimal control scheme for stabilization and trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a cost functional, resulting in a more efficient controller. Design More Efficient Controllers for Stabilization and Trajectory Tracking of Discrete-Time Nonlinear Systems The book presents two approaches for controller synthesis: the first based on passivity theory and the second on a control Lyapunov function (CLF). The synthesized discrete-time optimal controller can be directly implemented in real-time systems. The book also proposes the use of recurrent neural networks to model discrete-time nonlinear systems. Combined with the inverse optimal control approach, such models constitute a powerful tool to deal with uncertainties such as unmodeled dynamics and disturbances. Learn from Simulations and an In-Depth Case Study The authors include a variety of simulations to illustrate the effectiveness of the synthesized controllers for stabilization and trajectory tracking of discrete-time nonlinear systems. An in-depth case study applies the control schemes to glycemic control in patients with type 1 diabetes mellitus, to calculate the adequate insulin delivery rate required to prevent hyperglycemia and hypoglycemia levels. The discrete-time optimal and robust control techniques proposed can be used in a range of industrial applications, from aerospace and energy to biomedical and electromechanical systems. Highlighting optimal and efficient control algorithms, this is a valuable resource for researchers, engineers, and students working in nonlinear system control.

Book Optimal Control  Novel Directions and Applications

Download or read book Optimal Control Novel Directions and Applications written by Daniela Tonon and published by Springer. This book was released on 2017-09-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on applications to science and engineering, this book presents the results of the ITN-FP7 SADCO network’s innovative research in optimization and control in the following interconnected topics: optimality conditions in optimal control, dynamic programming approaches to optimal feedback synthesis and reachability analysis, and computational developments in model predictive control. The novelty of the book resides in the fact that it has been developed by early career researchers, providing a good balance between clarity and scientific rigor. Each chapter features an introduction addressed to PhD students and some original contributions aimed at specialist researchers. Requiring only a graduate mathematical background, the book is self-contained. It will be of particular interest to graduate and advanced undergraduate students, industrial practitioners and to senior scientists wishing to update their knowledge.

Book Proceedings of the Optimum System Synthesis Conference  11 13 September 1962

Download or read book Proceedings of the Optimum System Synthesis Conference 11 13 September 1962 written by and published by . This book was released on 1963 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings contain a collection of 16 papers presented at the Optimum System Synthesis Conference held at the Aeronautical Systems Division 11 - 13 September 1962. The meeting was directed toward defining the present position of optimum synthesis and determining guides for future research in both applications and theory. Most papers are concerned with various aspects of recent applications and theoretical developments in optimal control such as steepest descent techniques, suboptimal controllers, optimum filtering, and functional analysis techniques. Some earlier results are also discussed.

Book Robust and Optimal Control

Download or read book Robust and Optimal Control written by Mi-Ching Tsai and published by Springer Science & Business Media. This book was released on 2014-01-07 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Two-port Framework for Robust and Optimal Control introduces an alternative approach to robust and optimal controller synthesis procedures for linear, time-invariant systems, based on the two-port system widespread in electrical engineering. The novel use of the two-port system in this context allows straightforward engineering-oriented solution-finding procedures to be developed, requiring no mathematics beyond linear algebra. A chain-scattering description provides a unified framework for constructing the stabilizing controller set and for synthesizing H2 optimal and H∞ sub-optimal controllers. Simple yet illustrative examples explain each step. A Two-port Framework for Robust and Optimal Control features: · a hands-on, tutorial-style presentation giving the reader the opportunity to repeat the designs presented and easily to modify them for their own programs; · an abundance of examples illustrating the most important steps in robust and optimal design; and · end-of-chapter exercises. To further demonstrate the proposed approaches, in the last chapter an application case study is presented which demonstrates the use of the framework in a real-world control system design and helps the reader quickly move on with their own challenges. MATLAB® codes used in examples throughout the book and solutions to selected exercise questions are available for download. The text will have particular resonance for researchers in control with an electrical engineering background, who wish to avoid spending excessive time in learning complex mathematical, theoretical developments but need to know how to deal with robust and optimal control synthesis problems. Please see [http://km.emotors.ncku.edu.tw/class/hw1.html] for solutions to the exercises provided in this book.

Book Geometric Optimal Control

    Book Details:
  • Author : Heinz Schättler
  • Publisher : Springer Science & Business Media
  • Release : 2012-06-26
  • ISBN : 1461438349
  • Pages : 652 pages

Download or read book Geometric Optimal Control written by Heinz Schättler and published by Springer Science & Business Media. This book was released on 2012-06-26 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structure of solutions for the underlying problem. The text includes a large number and variety of fully worked out examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapy approaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The versatile text contains material on different levels ranging from the introductory and elementary to the advanced. Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the more introductory topics to those parts that are in a monograph style were advanced topics are presented. While the presentation is mathematically rigorous, it is carried out in a tutorial style that makes the text accessible to a wide audience of researchers and students from various fields, including the mathematical sciences and engineering. Heinz Schättler is an Associate Professor at Washington University in St. Louis in the Department of Electrical and Systems Engineering, Urszula Ledzewicz is a Distinguished Research Professor at Southern Illinois University Edwardsville in the Department of Mathematics and Statistics.

Book Optimal Controller Synthesis for Decentralized Systems

Download or read book Optimal Controller Synthesis for Decentralized Systems written by John Frederick Swigart and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory can be classified, broadly speaking, as either centralized or decentralized. Centralized systems are generally thought of as a single decision maker, taking all sensor measurements and deciding all actuator inputs. By contrast, decentralized systems are typically characterized by multiple subsystems which each make decisions based on different sets of information. Optimal control, as the name suggests, is aimed at finding control policies which minimize a particular norm of the closed-loop map. For centralized problems, the only constraint on the set of admissible control policies is that the resulting system be internally stable. These types of problems have been solved for quite some time, and a variety of methods now exist to explicitly construct the optimal policies. Decentralization imposes additional constraints on admissible policies. These constraints can, in many cases, make the optimization problem intractable. Thus, for decentralized problems, our goal is two-fold. First, we try to identify classes of systems for which tractable representations of the optimization problem exist. Second, we need to synthesize the optimal decentralized controllers. This research is focused at decentralized problems which are represented by subsystems connected over graphs. The decentralization property is given as sparsity constraints on the admissible control policies. For such systems, there exists a simple condition which is sufficient for tractability of the optimization problem. For these systems, we provide a method for constructing the optimal decentralized controllers. These results provide significant insight into the structure of the optimal controllers. Moreover, they establish the state dimension of the optimal policies.

Book Set Theoretic Methods in Control

Download or read book Set Theoretic Methods in Control written by Franco Blanchini and published by Springer Science & Business Media. This book was released on 2007-10-05 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph describes basic set-theoretic methods for control. It provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary.

Book A Reliable Algorithm for Optimal Control Synthesis

Download or read book A Reliable Algorithm for Optimal Control Synthesis written by Brett Van Steenwyk and published by . This book was released on 1993 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Theory and Application of Linear Optimal Control

Download or read book The Theory and Application of Linear Optimal Control written by Edmund G. Rynaski and published by . This book was released on 1965 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear optimal control theory has produced an important synthesis technique for the design of linear multivariable systems. In the present study, efficient design procedures, based on the general optimal theory, have been developed. These procedures make use of design techniques which are similar to the conventional methods of control system analysis. Specifically, a scalar expression is developed which relates the closed-loop poles of the multi- controller, multi-output optimal system to the weighting parameters of a quadratic performance index. Methods analogous to the root locus and Bode plot techniques are then developed for the systematic analysis of this expression. Examples using the aircraft longitudinal equations of motion to represent the object to be controlled are presented to illustrate design procedures which can be carried out in either the time or frequency domains. Both the model-in -the- performance-index and model-following concepts are employed in several of the examples to illustrate the model approach to optimal design.

Book Structure and Synthesis of PID Controllers

Download or read book Structure and Synthesis of PID Controllers written by Aniruddha Datta and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many industrial applications, the existing constraints mandate the use of controllers of low and fixed order while typically, modern methods of optimal control produce high-order controllers. The authors seek to start to bridge the resultant gap and present a novel methodology for the design of low-order controllers such as those of the P, PI and PID types. Written in a self-contained and tutorial fashion, this book first develops a fundamental result, generalizing a classical stability theorem – the Hermite–Biehler Theorem – and then applies it to designing controllers that are widely used in industry. It contains material on: • current techniques for PID controller design; • stabilization of linear time-invariant plants using PID controllers; • optimal design with PID controllers; • robust and non-fragile PID controller design; • stabilization of first-order systems with time delay; • constant-gain stabilization with desired damping • constant-gain stabilization of discrete-time plants.

Book SYNTHESIS OF OPTIMAL CONTROL AND HYBRID COMPUTATION

Download or read book SYNTHESIS OF OPTIMAL CONTROL AND HYBRID COMPUTATION written by and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Structurally Constrained Controllers

Download or read book Structurally Constrained Controllers written by Somayeh Sojoudi and published by Springer. This book was released on 2011-03-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structurally Constrained Controllers: Analysis and Synthesis studies the control of interconnected systems with a particular application in network, power systems, flight formations, etc. It introduces four important problems regarding the control of such systems and then proposes proper techniques for solving them.