Ebook: Uncertain Models and Robust Control

Control systems particularly designed to manage uncertainties are called robust control system. Choosing appropriate design methods, the influence of uncertainties on the closed-loop behaviour can be reduced to a large extent. Most of the important areas of robust control are covered. The aim of the book is to provide an introduction to the theory and methods of robust control system design, to present a coherent body of knowledge, to clarify and unify presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control which is scattered throughout the literature.

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Control systems particularly designed to manage uncertainties are called robust control system. Choosing appropriate design methods, the influence of uncertainties on the closed-loop behaviour can be reduced to a large extent. Most of the important areas of robust control are covered. The aim of the book is to provide an introduction to the theory and methods of robust control system design, to present a coherent body of knowledge, to clarify and unify presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control which is scattered throughout the literature.

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Control systems particularly designed to manage uncertainties are called robust control system. Choosing appropriate design methods, the influence of uncertainties on the closed-loop behaviour can be reduced to a large extent. Most of the important areas of robust control are covered. The aim of the book is to provide an introduction to the theory and methods of robust control system design, to present a coherent body of knowledge, to clarify and unify presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control which is scattered throughout the literature.
Content:
Front Matter....Pages i-28
Front Matter....Pages 29-29
Introductory Survey....Pages 31-43
Vector Norm. Matrix Norm. Matrix Measure....Pages 45-62
Functional Analysis, Function Norms and Control Signals....Pages 63-70
Front Matter....Pages 71-71
Kronecker Calculus in Control Theory....Pages 73-78
Analysis Using Matrices and Control Theory....Pages 79-93
Eigenvalue and Eigenvector Differential Sensitivity....Pages 95-106
Transition Matrix Differential Sensitivity....Pages 107-113
Characteristic Polynomial Differential Sensitivity....Pages 115-122
Optimal Control and Performance Sensitivity....Pages 123-136
Desensitizing Control....Pages 137-143
Front Matter....Pages 145-145
General Stability Bounds in Perturbed Systems....Pages 147-165
Robust Dynamic Interval Systems....Pages 167-197
Lyapunov-Based Methods for Perturbed Continuous-Time Systems....Pages 199-224
Lyapunov-Based Methods for Perturbed Discrete-Time Systems....Pages 225-248
Robust Pole Assignment....Pages 249-258
Models for Optimal and Interconnected Systems....Pages 259-276
Robust State Feedback Using Ellipsoid Sets....Pages 277-279
Robustness of Observers and Kalman-Bucy Filters....Pages 281-296
Initial Condition Perturbation, Overshoot and Robustness....Pages 297-300
Front Matter....Pages 301-319
Uncertain Polynomials. Interval Polynomials....Pages 321-321
Eigenvalues and Singular Values of Complex Matrices....Pages 323-355
Resolvent Matrix and Stability Radius....Pages 357-371
Robustness Via Singular-Value Analysis....Pages 373-387
Generalized Nyquist Stability of Perturbed Systems....Pages 389-406
Block-Structured Uncertainty and Structured Singular Value....Pages 407-432
Performance Robustness....Pages 433-443
Robust Controllers Via Spectral Radius Technique....Pages 445-448
Front Matter....Pages 449-456
Robustness Based on the Internal Model Principle....Pages 457-457
Parametrization and Factorization of Systems....Pages 459-473
Hardy Space Robust Design....Pages 475-497
Front Matter....Pages 499-522
Robust Hyperplane Design in Variable Structure Control....Pages 523-523
Singular Perturbations. Unmodelled High-Frequency Dynamics....Pages 525-535
Control Using Aggregation Models....Pages 537-546
Optimum Control of Approximate and Nonlinear Systems....Pages 547-555
System Analysis via Orthogonal Functions....Pages 557-563
System Analysis Via Pulse Functions and Piecewise Linear Functions....Pages 565-578
Orthogonal Decomposition Applications....Pages 579-590
Back Matter....Pages 591-608
....Pages 609-723