Robust Control Design – An Optimal Control Approach

Owners of macaws, cockatiels, parakeets, and other parrots

Preface. Notation. 1 Introduction. 1.1 Systems and Control 1.2 Modern Control Theory 1.3 Stability 1.4 Optimal Control 1.5 Optimal Control Approach 1.6 Kharitonov Approach 1.7 H- and H2 Control 1.8 Applications 1.9 Use of This Book 2 Fundamentals of Control Theory. 2.1 State Space Model 2.2 Responses of Linear Systems 2.3 Similarity Transformation 2.4 Controllability and Observability 2.5 Pole Placement by State Feedback 2.6 Pole Placement Using Observer 2.7 Notes and References 2.8 Problems 3 Stability Theory. 3.1 Stability and Lyapunov Theorem 3.2 Linear Systems 3.3 Routh-Hurwitz Criterion 3.4 Nyquist Criterion 3.5 Stabilizability and Detectability 3.6 Notes and References 3.7 Problems 4 Optimal Control and Optimal Observers. 4.1 Optimal Control Problem 4.2 Principle of Optimality 4.3 Hamilton-Jacobi-Bellman Equation 4.4 Linear Quadratic Regulator Problem 4.5 Kalman Filter 4.6 Notes and References 4.7 Problems 5 Robust Control of Linear Systems. 5.1 Introduction 5.2 Matched Uncertainty 5.3 Unmatched Uncertainty 5.4 Uncertainty in the Input Matrix 5.5 Notes and References 5.6 Problems 6 Robust Control of Nonlinear Systems. 6.1 Introduction 6.2 Matched Uncertainty 6.3 Unmatched Uncertainty 6.4 Uncertainty in the Input Matrix 6.5 Notes and References 6.6 Problems 7 Kharitonov Approach. 7.1 Introduction 7.2 Preliminary Theorems 7.3 Kharitonov Theorem 7.4 Control Design Using Kharitonov Theorem 7.5 Notes and References 7.6 Problems 8 H and H2 Control. 8.1 Introduction 8.2 Function Space 8.3 Computation of H2 and H- Norms 8.4 Robust Control Problem as H2 and H- Control Problem 8.5 H2/H- Control Synthesis 8.6 Notes and References 8.7 Problems 9 Robust Active Damping. 9.1 Introduction 9.2 Problem Formulation 9.3 Robust Active Damping Design 9.4 Active Vehicle Suspension System 9.5 Discussion 9.6 Notes and References 10 Robust Control of Manipulators. 10.1 Robot Dynamics 10.2 Problem Formulation 10.3 Robust Control Design 10.4 Simulations 10.5 Notes and References 11 Aircraft Hovering Control. 11.1 Modelling and Problem Formulation 11.2 Control Design for Jet-borne Hovering 11.3 Simulation 11.4 Notes and References Appendix A: Mathematical Modelling of Physical Systems. References and Bibliography. Index.