Robust Control Design Using H- Methods

1. Introduction.- 1.1 The concept of an uncertain system.- 1.2 Overview of the book.- 2. Uncertain systems.- 2.1 Introduction.- 2.2 Uncertain systems with norm-bounded uncertainty.- 2.3 Uncertain systems with integral quadratic constraints.- 2.4 Stochastic uncertain systems.- 3. H? control and related preliminary results.- 3.1 Riccati equations.- 3.2 H? control.- 3.3 Risk-sensitive control.- 3.4 Quadratic stability.- 3.5 A connection between H? control and the absolute stabilizability of uncertain systems.- 4. The S-procedure.- 4.1 Introduction.- 4.2 An S-procedure result for a quadratic functional and one quadratic constraint.- 4.3 An S-procedure result for a quadratic functional and k quadratic constraints.- 4.4 An S-procedure result for nonlinear functionals.- 4.5 An S-procedure result for averaged sequences.- 4.6 An S-procedure result for probability measures with constrained relative entropies.- 5. Guaranteed cost control of time-invariant uncertain systems.- 5.1 Introduction.- 5.2 Optimal guaranteed cost control for uncertain linear systems with norm-bounded uncertainty.- 5.3 State-feedback minimax optimal control of uncertain systems with structured uncertainty.- 5.4 Output-feedback minimax optimal control of uncertain systems with unstructured uncertainty.- 5.5 Guaranteed cost control via a Lyapunov function of the Lur'e-Postnikov form.- 5.6 Conclusions.- 6. Finite-horizon guaranteed cost control.- 6.1 Introduction.- 6.2 The uncertainty averaging approach to state-feedback minimax optimal control.- 6.3 The uncertainty averaging approach to output-feedback optimal guaranteed cost control.- 6.4 Robust control with a terminal state constraint.- 6.5 Robust control with rejection of harmonic disturbances.- 7. Absolute stability, absolute stabilization andstructured dissipativity.- 7.1 Introduction.- 7.2 Robust stabilization with a Lyapunov function of the Lur'e-Postnikov form.- 7.3 Structured dissipativity and absolute stability for nonlinear uncertain systems.-