Control of uncertain dynamic systems : a collection of papers presented at the International Workshop on Robust Control, San Antonio, Texas, March 1991

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. Cover ......Page 1 Title Page ......Page 2 Copyright Page ......Page 3 Preface ......Page 4 Table of Contents ......Page 5 Part I: H∞ Control......Page 8 Unstructured Uncertainty in H∞......Page 10 Generalized Chain-Scattering Approach to H∞ Control Problems......Page 28 An Energy and Two Port Framework for H∞ Control......Page 46 Linear Fractional Transformation for the Approximation of Various Uncertainty Sets......Page 60 H∞ Control for Linear Systems with Time-Varying Parameter Uncertainty......Page 70 Properties of H∞ Riccati Solutions......Page 84 Robust Regulation with an H∞ Constraint......Page 102 Part II: Modeling, Identification and Design Specifications......Page 118 Robust Performance Design of Nonlinearly Perturbed Control Systems......Page 120 Robust Car Steering by Yaw Rate Feedback......Page 132 Quantifying the Model Accuracy Needed for Control......Page 148 Explicit Construction of Quadratic Lyapunov Functions for the Small Gain, Positivity, Circle, and Popov Theorems and their Application to Robust Stability......Page 156 Compartmental Modeling and Power Flow Analysis for State Space Systems......Page 182 Part III: QFT Classical Control and Design Issues......Page 210 A Historical Survey of Feedback Control Theory in USA......Page 212 Frequency Domain Design for Maximizing Tolerance to Disturbances in Uncertain Systems......Page 222 Ill-Conditioned Plants and Integral Relations......Page 240 A Survey of Robust Multiobjective Design Techniques......Page 256 Controller Synthesis for Multiple Objective Optimal Control......Page 268 Robust Control under Gap Metric and Pointwise Gap Metric Uncertainties......Page 288 Reliable Stabilization via Factorization Methods......Page 304 Part IV: L1 Optimal Control and Robust Performance......Page 316 Worst-Case Identification for Robust Control......Page 318 Time-Varying Control and the Robust Performance of Systems with Structured Norm-Bounded Perturbations......Page 336 Part V: Robustness Analysis......Page 344 Algebraic Topology in Robust Control......Page 346 Computing the Minimum Stability Degree of Parameter-Dependent Linear Systems......Page 366 Part VI: Parametric Uncertainty and Interval Systems......Page 386 Robust Parametric Stability: The Role of the CB Segments......Page 388 Kharitonov Segments Suffice for Frequency Response Analysis of Interval Plant-Controller......Page 410 Invariance of Interval System Properties......Page 424 Frequency Domain Design of Interval Controllers......Page 430 Interval Stability of Quasipolynomial......Page 446 Robust D-Stability in Frequency Domain with Kharitonov-like Properties......Page 454 New Extreme Point Results for Robust Stability......Page 468 Nonnegative Stabilization of Interval Discrete Systems......Page 478 Frequency Domain Criterion for Robust Stability of Polytopes of Polynomials......Page 498 Robust Control Systems with Internal Nominal Models Families......Page 508 Argument Conditions for Hurwitz and Schur Stable Polynomials and the Robust Stability Problem......Page 518