Robust Control Design Using H-∞ Methods (Communications and Control Engineering)

This book provides a unified collection of important, recent results for the design of robust controllers for uncertain systems. Most of the results presented are based on H ? control theory, or its stochastic counterpart, risk sensitive control theory. Central to the philosophy of the book is the notion of an uncertain system. Uncertain systems are considered using several different uncertainty modeling schemes. These include norm bounded uncertainty, integral quadratic constraint (IQC) uncertainty and a number of stochastic uncertainty descriptions. In particular, the authors examine stochastic uncertain systems in which the uncertainty is outlined by a stochastic version of the IQC uncertainty description. For each class of uncertain systems covered in the book, corresponding robust control problems are defined and solutions discussed. This book provides a unified collection of important, recent results for the design of robust controllers for uncertain systems. Most of the results presented are based on H? control theory, or its stochastic counterpart, risk sensitive control theory.Central to the philosophy of the book is the notion of an uncertain system. Uncertain systems are considered using several different uncertainty modeling schemes. These include norm bounded uncertainty, integral quadratic constraint (IQe uncertainty and a number of stochastic uncertainty descriptions. In particular, the authors examine stochastic uncertain systems in which the uncertainty is outlined by a stochastic version of the IQC uncertainty description.For each class of uncertain systems covered in the book, corresponding robust control problems are defined and solutions discussed Front Matter....Pages i-xvi Introduction....Pages 1-18 Uncertain systems....Pages 19-54 H ∞ control and related preliminary results....Pages 55-101 The S-procedure....Pages 103-123 Guaranteed cost control of time-invariant uncertain systems....Pages 125-179 Finite-horizon guaranteed cost control....Pages 181-214 Absolute stability, absolute stabilization and structured dissipativity....Pages 215-243 Robust control of stochastic uncertain systems....Pages 245-345 Nonlinear versus linear control....Pages 347-392 Missile autopilot design via minimax optimal control of stochastic uncertain systems....Pages 393-402 Robust control of acoustic noise in a duct via minimax optimal LQG control....Pages 403-417 Back Matter....Pages 419-451 This is a unified collection of important recent results for the design of robust controllers for uncertain systems, primarily based on H8 control theory or its stochastic counterpart, risk sensitive control theory. Two practical applications are used to illustrate the methods throughout.