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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).


Linear Control Theory

Linear Control Theory
Author: Shankar P. Bhattacharyya
Publisher: CRC Press
Total Pages: 924
Release: 2018-10-03
Genre: Technology & Engineering
ISBN: 1420019619

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Successfully classroom-tested at the graduate level, Linear Control Theory: Structure, Robustness, and Optimization covers three major areas of control engineering (PID control, robust control, and optimal control). It provides balanced coverage of elegant mathematical theory and useful engineering-oriented results. The first part of the book develops results relating to the design of PID and first-order controllers for continuous and discrete-time linear systems with possible delays. The second section deals with the robust stability and performance of systems under parametric and unstructured uncertainty. This section describes several elegant and sharp results, such as Kharitonov’s theorem and its extensions, the edge theorem, and the mapping theorem. Focusing on the optimal control of linear systems, the third part discusses the standard theories of the linear quadratic regulator, Hinfinity and l1 optimal control, and associated results. Written by recognized leaders in the field, this book explains how control theory can be applied to the design of real-world systems. It shows that the techniques of three term controllers, along with the results on robust and optimal control, are invaluable to developing and solving research problems in many areas of engineering.


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.


Robust Stability and Convexity

Robust Stability and Convexity
Author: Jacob Kogan
Publisher: Springer
Total Pages: 180
Release: 1994-11-25
Genre: Technology & Engineering
ISBN: 9783540199199

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A fundamental problem in control theory is concerned with the stability of a given linear system. The design of a control system is generally based on a simplified model. The true values of the physical parameters may differ from the assumed values. Robust Stability and Convexity addresses stability problems for linear systems with parametric uncertainty. The application of convexity techniques leads to new computationally tractable stability criteria for families of characteristic functions with nonlinear dependence on the parameters. Stability results as well as stability criteria for time-delay systems with uncertainties in coefficients and delays are reported.


Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Author:
Publisher:
Total Pages: 1460
Release: 1991
Genre: Aeronautics
ISBN:

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Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.