Internal and External Stabilization of Linear Systems with Constraints

Most nonlinear systems can be modeled as linear systems with constrains on their inputs and selected outputs. Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and design of such systems The authors address the following issues in the work:

* Internal or Lyapunov stability, external L_p stability, and simulatneous internal and external stability

* Control system feedback design laws for different types of stability

* New notions of external stability

* Additional constraints on controller architecture under decentralized internal and external stabilization

* Satisfactory performance, which also guarantees stability

Internal and External Stabilization of Linear Systems with Constraints is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. The book may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design.

Preface. - Introduction and Preliminaries. - Internal and External Stability of Nonlinear Systems. - Classical Approaches for Handling Constraints. - Taxonomy of Constraints. - Design Methodologies. - Internal Stabilization of Linear Systems with Constraints. - External L_p Stabilization of Linear Systems with Constraints. - Design Methodologies. - Internal Stabilization of Linear Systems with Constraints. - Beyond L_p Stability. - Achieving Satisfactory Performance with Guaranteed Internal and External Stability. - Additional Constraints on Controller Architecture: Decentralized Stabilization Subject to Constraints. - Conclusions. - Index