Analysis and Synthesis of Polynomial Discrete Time Systems

Analysis and Synthesis of Polynomial Discrete Time Systems
Author: Mohd Shakir Md Saat,Sing Kiong Nguang,Alireza Nasiri
Publsiher: Butterworth-Heinemann
Total Pages: 200
Release: 2017-07-10
Genre: Science
ISBN: 9780081019023

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Analysis and Synthesis of Polynomial Discrete-time Systems: An SOS Approach addresses the analysis and design of polynomial discrete-time control systems. The book deals with the application of Sum of Squares techniques in solving specific control and filtering problems that can be useful to solve advanced control problems, both on the theoretical side and on the practical side. Two types of controllers, state feedback controller and output feedback controller, along with topics surrounding the nonlinear filter and the H-infinity performance criteria are explored. The book also proposes a solution to global stabilization of discrete-time systems. Presents recent developments of the Sum of Squares approach in control of Polynomial Discrete-time Systems Includes numerical and practical examples to illustrate how design methodologies can be applied Provides a methodology for robust output controller design with an H-infinity performance index for polynomial discrete-time systems Offers tools for the analysis and design of control processes where the process can be represented in polynomial form Uses the Sum of Squares method for solving controller and filter design problems Provides MATLAB® code and simulation files of all illustrated example

Discrete Time Systems

Discrete Time Systems
Author: Mario Alberto Jordán
Publsiher: BoD – Books on Demand
Total Pages: 540
Release: 2011-04-26
Genre: Computers
ISBN: 9789533072005

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Discrete-Time Systems comprehend an important and broad research field. The consolidation of digital-based computational means in the present, pushes a technological tool into the field with a tremendous impact in areas like Control, Signal Processing, Communications, System Modelling and related Applications. This book attempts to give a scope in the wide area of Discrete-Time Systems. Their contents are grouped conveniently in sections according to significant areas, namely Filtering, Fixed and Adaptive Control Systems, Stability Problems and Miscellaneous Applications. We think that the contribution of the book enlarges the field of the Discrete-Time Systems with signification in the present state-of-the-art. Despite the vertiginous advance in the field, we also believe that the topics described here allow us also to look through some main tendencies in the next years in the research area.

Performance Analysis and Synthesis for Discrete Time Stochastic Systems with Network Enhanced Complexities

Performance Analysis and Synthesis for Discrete Time Stochastic Systems with Network Enhanced Complexities
Author: Derui Ding,Zidong Wang,Guoliang Wei
Publsiher: CRC Press
Total Pages: 249
Release: 2018-10-11
Genre: Mathematics
ISBN: 9780429880025

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The book addresses the system performance with a focus on the network-enhanced complexities and developing the engineering-oriented design framework of controllers and filters with potential applications in system sciences, control engineering and signal processing areas. Therefore, it provides a unified treatment on the analysis and synthesis for discrete-time stochastic systems with guarantee of certain performances against network-enhanced complexities with applications in sensor networks and mobile robotics. Such a result will be of great importance in the development of novel control and filtering theories including industrial impact. Key Features Provides original methodologies and emerging concepts to deal with latest issues in the control and filtering with an emphasis on a variety of network-enhanced complexities Gives results of stochastic control and filtering distributed control and filtering, and security control of complex networked systems Captures the essence of performance analysis and synthesis for stochastic control and filtering Concepts and performance indexes proposed reflect the requirements of engineering practice Methodologies developed in this book include backward recursive Riccati difference equation approach and the discrete-time version of input-to-state stability in probability

Analysis and Synthesis of Nonlinear Control Systems

Analysis and Synthesis of Nonlinear Control Systems
Author: Miguel Bernal,Doctor Antonio Sala,Zsófia Lendek,Thierry Marie Guerra
Publsiher: Springer Nature
Total Pages: 135
Release: 2022
Genre: Convex functions
ISBN: 9783030907730

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This book presents a modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures. Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, TakagiSugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial models, as well as the performance and robustness of the models. With detailed examples, simulations, and programming code, this book will be useful to instructors, researchers, and graduate students interested in nonlinear control systems.

New Trends in Design of Control Systems 1994

New Trends in Design of Control Systems 1994
Author: J. Mikles,M. Huba
Publsiher: Elsevier
Total Pages: 436
Release: 2014-05-23
Genre: Technology & Engineering
ISBN: 9781483296975

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Computer control systems are developing rapidly, therefore an insight of the latest trends in the design of control systems will increase the success of future developments. This publication brings together the latest key papers on research and development trends in this field, allowing both academics and industrial practioners to find new insights and gain from each other's experience.

Analysis and Synthesis of Delta Operator Systems with Actuator Saturation

Analysis and Synthesis of Delta Operator Systems with Actuator Saturation
Author: Hongjiu Yang,Yuanqing Xia,Qing Geng
Publsiher: Springer
Total Pages: 421
Release: 2019-04-02
Genre: Technology & Engineering
ISBN: 9789811336607

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This book presents basic research on delta operator systems (DOS) with actuator saturation. It proposes null controllable regions of delta operator systems, introduces the enlarging of the domain of attraction and analyzes the performance of DOSs subject to actuator saturation. It also discusses the domain of attraction on different systems in delta domain, and investigates the applications in complicated systems using delta operator approaches.

Sampled Data Control Systems

Sampled Data Control Systems
Author: Jürgen Ackermann
Publsiher: Springer Science & Business Media
Total Pages: 596
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9783642825545

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The first German edition of this book appeared in 1972, and in Polish translation in 1976. It covered the analysis and synthesis of sampled-data systems. The second German edition of 1983 ex tended the scope to design, in particular design for robustness of control system properties with respect to uncertainty of plant parameters. This book is a revised translation of the second Ger man edition. The revisions concern primarily a new treatment of the finite effect sequences and the use of nice numerical proper ties of Hessenberg forms. The introduction describes examples of sampled-data systems, in particular digital controllers, and analyzes the sampler and hold; also some design aspects are introduced. Chapter 2 reviews the modelling and analysis of continuous systems. Pole shifting is formulated as an affine mapping, here some n~w material on fixing some eigenvalues or some gains in a design step is included. Chapter 3 treats the analysis of sampled-data systems by state space and z-transform methods. This includes sections on inter sampling behavior, time-delay systems, absolute stability and non synchronous sampling. Chapter 4 treats controllability and reach ability of discrete-time systems, controllability regions for con strained inputs and the choice of the sampling interval primarily under controllability aspects. Chapter 5 deals with observability and constructability both from the discrete and continuous plant output. Full and reduced order observers are treated as well as disturbance observers.

S Variable Approach to LMI Based Robust Control

S Variable Approach to LMI Based Robust Control
Author: Yoshio Ebihara,Dimitri Peaucelle,Denis Arzelier
Publsiher: Springer
Total Pages: 246
Release: 2014-10-16
Genre: Technology & Engineering
ISBN: 9781447166061

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This book shows how the use of S-variables (SVs) in enhancing the range of problems that can be addressed with the already-versatile linear matrix inequality (LMI) approach to control can, in many cases, be put on a more unified, methodical footing. Beginning with the fundamentals of the SV approach, the text shows how the basic idea can be used for each problem (and when it should not be employed at all). The specific adaptations of the method necessitated by each problem are also detailed. The problems dealt with in the book have the common traits that: analytic closed-form solutions are not available; and LMIs can be applied to produce numerical solutions with a certain amount of conservatism. Typical examples are robustness analysis of linear systems affected by parametric uncertainties and the synthesis of a linear controller satisfying multiple, often conflicting, design specifications. For problems in which LMI methods produce conservative results, the SV approach is shown to achieve greater accuracy. The authors emphasize the simplicity and easy comprehensibility of the SV approach and show how it can be implemented in programs without difficulty so that its power becomes readily apparent. The S-variable Approach to LMI-based Robust Control is a useful reference for academic control researchers, applied mathematicians and graduate students interested in LMI methods and convex optimization and will also be of considerable assistance to practising control engineers faced with problems of conservatism in their systems and controllers.