Robust Systems Theory and Applications covers both the techniques used in linear robust control analysis/synthesis and in robust (control–oriented) identification. The main analysis and design methods are complemented by elaborated examples and a group of worked–out applications that stress specific practical issues: nonlinearities, robustness against changes in operating conditions, uncertain infinite dimensional plants, and actuator and sensor limitations. Designed expressly as a textbook for master′s and first–year PhD students, this volume:
- Introduces basic robustness concepts in the context of SISO systems described by Laplace transforms, establishing connections with well–known classical control techniques
- Presents the internal stabilization problem from two different points of view: algebraic and state space
- Introduces the four basic problems in robust control and the Loop shaping design method Presents the optimal ∗2 control problem from a different viewpoint, including an analysis of the robustness properties of ∗2 controllers and a treatment of the generalized ∗2 problem
- Presents the ∗2 control problem using both the state–space approach developed in the late 1980s and a Linear Matrix Inequality approach (developed in the mid 1990s) that encompasses more general problems
- Discusses more general types of uncertainties (parametric and mixed type) and µµ–synthesis as a design tool
- Presents an overview of optimal ,1 control theory and covers the fundamentals of its star–norm approximation
- Presents the basic tools of model order reduction
- Provides a tutorial on robust identification
- Offers numerous end–of–chapter problems and worked–out examples of robust control
H2 Optimal Control.
H infinity Control.
Model Order Reduction.