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Internal and External Stabilization of Linear Systems with Constraints

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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.

Author(s): Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti (auth.)
Series: Systems & Control: Foundations & Applications
Edition: 1
Publisher: Birkhäuser Basel
Year: 2012

Language: English
Pages: 837
City: New York
Tags: Systems Theory, Control; Control, Robotics, Mechatronics; Engineering Design; Vibration, Dynamical Systems, Control; Applications of Mathematics

Front Matter....Pages i-xvi
Introduction....Pages 1-4
Preliminaries....Pages 5-50
A special coordinate basis (SCB) of linear multivariable systems....Pages 51-109
Constraints on inputs: actuator saturation....Pages 111-337
Robust semi-global internal stabilization....Pages 339-380
Control magnitude and rate saturation....Pages 381-399
State and input constraints: Semi-global and global stabilization in admissible set....Pages 401-410
Solvability conditions and design for semi-global and global stabilization in the admissible set....Pages 411-495
Semi-global stabilization in the recoverable region: properties and computation of recoverable regions....Pages 497-538
Sandwich systems: state feedback....Pages 539-605
Simultaneous external and internal stabilization....Pages 607-616
Simultaneous external and internal stabilization: input-additive case....Pages 617-696
Simultaneous external and internal stabilization: non-input-additive case....Pages 697-722
The double integrator with linear control laws subject to saturation....Pages 723-756
Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: continuous time....Pages 757-778
Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: discrete time....Pages 779-800
External and internal stabilization under the presence of stochastic disturbances....Pages 801-820
Back Matter....Pages 821-837