Constructive Nonlinear Control (Communications and Control Engineering)

Constructive Nonlinear Control presents a broad repertoire of constructive nonlinear designs not available in other works by widening the class of systems and design tools. Several streams of nonlinear control theory are merged and directed towards a constructive solution of the feedback stabilization problem. Analysis, geometric and asymptotic concepts are assembled as design tools for a wide variety of nonlinear phenomena and structures. Geometry serves as a guide for the construction of design procedures whilst analysis provides the robustness which geometry lacks. New recursive designs remove earlier restrictions on feedback passivation. Recursive Lyapunov designs for feedback, feedforward and interlaced structures result in feedback systems with optimality properties and stability margins. The design-oriented approach will make this work a valuable tool for all those who have an interest in control theory. Front Matter....Pages i-xi Introduction....Pages 1-24 Passivity Concepts as Design Tools....Pages 25-69 Stability Margins and Optimality....Pages 71-121 Cascade Designs....Pages 123-172 Construction of Lyapunov functions....Pages 173-227 Recursive designs....Pages 229-284 Back Matter....Pages 301-313 Contents: Introduction Passivity Concepts as Design Tools Stability Margins and Optimality Cascade Designs Construction of Lyapunov functions Recursive Designs A: Basic geometric concepts B: Proofs of Theorems 3.18 and 4.35 Bibliography Index.