Saberi A., Stoorvogel A.A., Sannuti P. Internal and External Stabilization of Linear Systems with Constraints

Basel: Birkhäuser, 2012. - 856p.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.Preliminaries
A special coordinate basis (SCB) of linear multivariable systems
Constraints on inputs: actuator saturation
Robust semi-global internal stabilization
Control magnitude and rate saturation
State and input constraints: Semi-global and global stabilization in admissible set
Solvability conditions and design for semi-global and global stabilization in the admissible set
Semi-global stabilization in the recoverable region: properties and computation of recoverable regions
Sandwich systems: state feedback
Simultaneous external and internal stabilization
Simultaneous external and internal stabilization: input-additive case
Simultaneous external and internal stabilization: non-input-additive case
The double integrator with linear control laws subject to saturation
Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: continuous time
Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: discrete time
External and internal stabilization under the presence of stochastic disturbances