Synopses & Reviews
The analysis and design of linear systems is much easier than that of nonlinear systems; however, most real-world systems are an interconnection of linear and nonlinear components. A common paradigm of nonlinear systems is that they are linear systems with embedded or sandwiched nonlinear elements. More specifically, 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 linear systems with general state and input constraints. For such systems, the following issues are addressed 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.
Linear systems with constraints on inputs and states are ubiquitous. Control of such systems has been a long-time challenge to control engineers and will continue to remain so. Indeed, the challenge of constraints is intense and dauntingly formidable and familiar. This book focuses on the very fundamental and primary goal of providing internal stability as well as external stability in the presence of disturbances and reference inputs. The focus is on both the analysis and design for both continuous- and discrete-time systems. A taxonomy of constraints paves distinct paths showing what is feasible and what is not.
Unifying two decades of research, this book is the first to establish a comprehensive foundation for systematic analysis and design of linear systems with general state and input constraints. Covers stability, controller design, and satisfactory performance.
Table of Contents
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