Algebraic Identification and Estimation Methods in FeedbackControl Systems presents a model-based algebraic approach toonline parameter and state estimation in uncertain dynamic feedbackcontrol systems. This approach evades the mathematical intricaciesof the traditional stochastic approach, proposing a directmodel-based scheme with several easy-to-implement computationaladvantages. The approach can be used with continuous and discrete,linear and nonlinear, mono-variable and multi-variable systems. Theestimators based on this approach are not of asymptotic nature, anddo not require any statistical knowledge of the corrupting noisesto achieve good performance in a noisy environment. Theseestimators are fast, robust to structured perturbations, and easyto combine with classical or sophisticated control laws.
This book uses module theory, differential algebra, andoperational calculus in an easy-to-understand manner and alsodetails how to apply these in the context of feedback controlsystems. A wide variety of examples, including mechanical systems,power converters, electric motors, and chaotic systems, are alsoincluded to illustrate the algebraic methodology.
Key features:
* Presents a radically new approach to online parameter and stateestimation.
* Enables the reader to master the use and understand theconsequences of the highly theoretical differential algebraicviewpoint in control systems theory.
* Includes examples in a variety of physical applications withexperimental results.
* Covers the latest developments and applications.
Algebraic Identification and Estimation Methods in FeedbackControl Systems is a comprehensive reference for researchersand practitioners working in the area of automatic control, and isalso a useful source of information for graduate and undergraduatestudents.