Generalized Homogeneity in Systems and Control

Generalized Homogeneity in Systems and Control
Author: Andrey Polyakov
Publisher: Springer Nature
Total Pages: 454
Release: 2020-02-05
Genre: Technology & Engineering
ISBN: 3030384497

This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces; homogeneous control and estimation; simple methods for an "upgrade" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers. The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.

New Perspectives and Applications of Modern Control Theory

New Perspectives and Applications of Modern Control Theory
Author: Julio B. Clempner
Publisher: Springer
Total Pages: 539
Release: 2017-09-30
Genre: Technology & Engineering
ISBN: 3319624644

This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak.

Recent Results on Nonlinear Delay Control Systems

Recent Results on Nonlinear Delay Control Systems
Author: Iasson Karafyllis
Publisher: Springer
Total Pages: 406
Release: 2015-07-15
Genre: Technology & Engineering
ISBN: 331918072X

This volume collects recent advances in nonlinear delay systems, with an emphasis on constructive generalized Lyapunov and predictive approaches that certify stability properties. The book is written by experts in the field and includes two chapters by Miroslav Krstic, to whom this volume is dedicated. This volume is suitable for all researchers in mathematics and engineering who deal with nonlinear delay control problems and students who would like to understand the current state of the art in the control of nonlinear delay systems.

Control and Inverse Problems

Control and Inverse Problems
Author: Kaïs Ammari
Publisher: Springer Nature
Total Pages: 276
Release: 2023-09-26
Genre: Mathematics
ISBN: 3031356756

This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control & Inverse Problems” held in Monastir, Tunisia in May 2022. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as: Controllability of dynamical systems Information transfer in multiplier equations Nonparametric instrumental regression Control of chained systems The damped wave equation Control and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.

Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications

Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications
Author: Shihua Li
Publisher: Springer
Total Pages: 414
Release: 2017-08-10
Genre: Technology & Engineering
ISBN: 3319628968

This book reflects the latest developments in variable structure systems (VSS) and sliding mode control (SMC), highlighting advances in various branches of the VSS/SMC field, e.g., from conventional SMC to high-order SMC, from the continuous-time domain to the discrete-time domain, from theories to applications, etc. The book consists of three parts and 16 chapters: in the first part, new VSS/SMC algorithms are proposed and their properties are analyzed, while the second focuses on the use of VSS/SMC techniques to solve a variety of control problems; the third part examines the applications of VSS/SMC to real-time systems. The book introduces postgraduates and researchers to the state-of-the-art in VSS/SMC field, including the theory, methodology, and applications. Relative academic disciplines include Automation, Mathematics, Electrical Engineering, Mechanical Engineering, Instrument Science and Engineering, Electronic Engineering, Computer Science and Technology, Transportation Engineering, Energy and Power Engineering, etc.

Nonlinear Control Systems Design 1995

Nonlinear Control Systems Design 1995
Author: A.J. Krener
Publisher: Elsevier
Total Pages: 449
Release: 2016-01-22
Genre: Technology & Engineering
ISBN: 1483296873

The series of IFAC Symposia on Nonlinear Control Systems provides the ideal forum for leading researchers and practitioners who work in the field to discuss and evaluate the latest research and developments. This publication contains the papers presented at the 3rd IFAC Symposium in the series which was held in Tahoe City, California, USA.

Sliding-Mode Control and Variable-Structure Systems

Sliding-Mode Control and Variable-Structure Systems
Author: Tiago Roux Oliveira
Publisher: Springer Nature
Total Pages: 597
Release: 2023-12-02
Genre: Technology & Engineering
ISBN: 3031370899

This book reflects the latest developments in sliding-mode control (SMC) and variable-structure systems (VSS), comprising contributions by leading researchers and an international range of experts. Such contributions highlight advances in various branches of the field—conventional and higher-order SMC with continuous- and discrete-time implementation and theory and applications both receive attention. The book consists of six parts. In the first, new SMC/VSS algorithms are proposed and their properties are analyzed. The second part focuses on the use of observers to solve the estimation and output-feedback control problems. The third part discusses the discretization aspects of SMC algorithms. Parts IV and V provide important insights on the use of adaptation laws for non-overestimated control gains and chattering alleviation. The last part examines the applications of these SMC/VSS ideas to real-world systems. Sliding-Mode Control and Variable-Structure Systems introduces postgraduates and researchers to the state of the art in the field. It includes theory, methods, and applications relevant to workers in disciplines including control, automation, applied mathematics, electrical and mechanical engineering, instrumentation, electronics, computer science, robotics, transportation, and power engineering. Its clear style and deep exposition help readers to keep in touch with tools that are, thanks to the robustness and insensitivity to perturbations of the SMC/VSS paradigm, among the most efficient for dealing with uncertain systems.

Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics

Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics
Author: Xinghuo Yu
Publisher: Springer
Total Pages: 460
Release: 2015-04-10
Genre: Technology & Engineering
ISBN: 3319182900

This volume is dedicated to Professor Okyay Kaynak to commemorate his life time impactful research and scholarly achievements and outstanding services to profession. The 21 invited chapters have been written by leading researchers who, in the past, have had association with Professor Kaynak as either his students and associates or colleagues and collaborators. The focal theme of the volume is the Sliding Modes covering a broad scope of topics from theoretical investigations to their significant applications from Control to Intelligent Mechatronics.

Hybrid Dynamical Systems

Hybrid Dynamical Systems
Author: Rafal Goebel
Publisher: Princeton University Press
Total Pages: 226
Release: 2012-03-18
Genre: Mathematics
ISBN: 0691153892

Filled with a wealth of examples to illustrate concepts, this title presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms - algorithms that feature logic, timers, or combinations of digital and analog components.

Control Theory and Related Topics

Control Theory and Related Topics
Author: Shanjian Tang
Publisher: World Scientific
Total Pages: 420
Release: 2007
Genre: Mathematics
ISBN: 9812705821

Professor Xunjing Li (1935–2003) was a pioneer in control theory in China. He was influential in the Chinese community of applied mathematics, and the global community of optimal control theory of distributed parameter systems. He has made very important contributions to the optimal control theory of distributed parameter systems, in particular regarding the first-order necessary conditions (Pontryagin-type maximum principle) for optimal control of nonlinear infinite-dimensional systems. This proceedings volume is a collection of original research papers or reviews authored or co-authored by Professor Li's former students, postdoctoral fellows, and mentored scholars in the areas of control theory, dynamic systems, mathematical finance, and stochastic analysis, among others. These articles show in some degree the influence of Professor Xunjing Li.