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Robust Control of Uncertain Dynamic Systems

Robust Control of Uncertain Dynamic Systems
Author: Rama K. Yedavalli
Publisher: Springer Science & Business Media
Total Pages: 217
Release: 2013-12-05
Genre: Technology & Engineering
ISBN: 1461491320

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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.


A State-Space Approach to Robustness Analysis and Synthesis for Nonlinear Uncertain Systems

A State-Space Approach to Robustness Analysis and Synthesis for Nonlinear Uncertain Systems
Author:
Publisher:
Total Pages: 38
Release: 1994
Genre:
ISBN:

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A state-space characterization of stability and performance robustness analysis and synthesis with some computationally attractive properties for nonlinear uncertain systems is proposed. The robust stability and robust performances for a class of nonlinear systems subject to bounded structured uncertainties are characterized in terms of various types of nonlinear matrix inequalities (NLMIs), which are natural generalizations of the linear matrix inequalities (LMIs) that appear in linear robustness analysis. As in the linear case, scalings or multipliers are used to find storage functions that give sufficient conditions for robust performances; these are also necessary under certain assumptions about smoothness of the storage functions and structure of the uncertainty. The resulting NLMIs yield convex optimization problems. Unlike the linear case, these convex problems are not finite dimensional, so their computational benefits are far less immediate. Sufficient conditions for the solvability of robust synthesis problems are developed in terms of NLMIs as well. Some aspects of the computational issues are also discussed.


Robust Stability and Performance for Linear Systems with Structured and Unstructured Uncertainties

Robust Stability and Performance for Linear Systems with Structured and Unstructured Uncertainties
Author: Rama K. Yedavalli
Publisher:
Total Pages: 55
Release: 1990
Genre:
ISBN:

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This report documents research in the areas of stability and performance robustness. Stability robustness in the presence of structured and unstructured uncertainty is discussed relative to nonminimum phase systems. Simultaneous stabilization under unstructured uncertainties and nonconservative stability robustness bounds are addressed. Performance robustness is discussed using the D-Stability formulation. Keywords: Control, Structured uncertainty, Stabilization systems, Simultaneous equations, Phase locked systems. (CP).


Uncertain Models and Robust Control

Uncertain Models and Robust Control
Author: Alexander Weinmann
Publisher: Springer Science & Business Media
Total Pages: 699
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3709167116

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This coherent introduction to the theory and methods of robust control system design clarifies and unifies the presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control otherwise scattered throughout the literature.


Robust Stability Under Mixed Time Varying, Time Invariant and Parametric Uncertainty

Robust Stability Under Mixed Time Varying, Time Invariant and Parametric Uncertainty
Author:
Publisher:
Total Pages: 35
Release: 1995
Genre:
ISBN:

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Robustness analysis is considered for systems with structured uncertainty involving a combination of linear time-invariant and linear time-varying perturbations, and parametric uncertainty. A necessary and sufficient condition for robust stability in terms of the structured singular value p is obtained, based on a finite augmentation of the original problem. The augmentation corresponds to considering the system at a fixed number of frequencies. Sufficient conditions based on scaled small-gain are also considered and characterized. A substantial amount of research in recent years has been devoted to analysis and synthesis of control systems o achieve robust stability and performance in the presence of structured uncertainty. This implies a decentralized nature of the uncertain perturbation, which is a reasonable modeling choice for complex systems, where uncertainty may be introduced at the subsystem level (see Safonov [17] and Doyle [5] for early treatments of this). In addition t o this "spatial" structure, different assumptions can be made on the dynamic properties of the uncertainty: real parametric, linear time invariant (LTI), linear time varying (LTV) or nonlinear perturbations. All these uncertainty classes arise naturally in modeling. Parametric uncertainty appears frequently in first principles models; LTI perturbations are well suited when.


Control of Uncertain Dynamic Systems

Control of Uncertain Dynamic Systems
Author: Shankar P. Bhattacharyya
Publisher: CRC Press
Total Pages: 546
Release: 2020-09-23
Genre: Technology & Engineering
ISBN: 1000141063

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This book is a collection of 34 papers presented by leading researchers at the International Workshop on Robust Control held in San Antonio, Texas in March 1991. The common theme tying these papers together is the analysis, synthesis, and design of control systems subject to various uncertainties. The papers describe the latest results in parametric understanding, H8 uncertainty, l1 optical control, and Quantitative Feedback Theory (QFT). The book is the first to bring together all the diverse points of view addressing the robust control problem and should strongly influence development in the robust control field for years to come. For this reason, control theorists, engineers, and applied mathematicians should consider it a crucial acquisition for their libraries.


European Control Conference 1995

European Control Conference 1995
Author:
Publisher: European Control Association
Total Pages: 882
Release: 1995-09-05
Genre:
ISBN:

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Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995