Attractive Ellipsoids in Robust Control
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Beschreibung
This monograph introduces a newly developed robust-control design technique for a wide class of continuous-time dynamical systems called the “attractive ellipsoid method.” Along with a coherent introduction to the proposed control design and related topics, the monograph studies nonlinear affine control systems in the presence of uncertainty and presents a constructive and easily implementable control strategy that guarantees certain stability properties. The authors discuss linear-style feedback control synthesis in the context of the above-mentioned systems.
The development and physical implementation of high-performance robust-feedback controllers that work in the absence of complete information is addressed, with numerous examples to illustrate how to apply the attractive ellipsoid method to mechanical and electromechanical systems. While theorems are proved systematically, the emphasis is on understanding and applying the theory to real-world situations.
Attractive Ellipsoids in Robust Control will appeal to undergraduate and graduate students with a background in modern systems theory as well as researchers in the fields of control engineering and applied mathematics.
This monograph introduces a newly developed robust-control design technique for a wide class of continuous-time dynamical systems called the “attractive ellipsoid method.” Along with a coherent introduction to the proposed control design and related topics, the monograph studies nonlinear affine control systems in the presence of uncertainty and presents a constructive and easily implementable control strategy that guarantees certain stability properties. The authors discuss linear-style feedback control synthesis in the context of the above-mentioned systems. The development and physical implementation of high-performance robust-feedback controllers that work in the absence of complete information is addressed, with numerous examples to illustrate how to apply the attractive ellipsoid method to mechanical and electromechanical systems. While theorems are proved systematically, the emphasis is on understanding and applying the theory to real-world situations. Attractive Ellipsoids in Robust Control will appeal to undergraduate and graduate students with a background in modern systems theory as well as researchers in the fields of control engineering and applied mathematics.
Presents numerical procedures for designing robust and adaptive-robust feedbacks Covers a wide class of quasi-Lipschitz nonlinear uncertain systems All subclasses of uncertain systems are treated with a unified approach
Autor*in
Alexander Poznyak
Themen in »Attractive Ellipsoids in Robust Control«
Lyaponov-like analysis linear and bilinear matrix inequalities model-free control practical stability sample data controllers zone covergence
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“The monograph presents a systematically written and organized text focused on understanding and the capability to apply the developed theory of the attractive ellipsoid method to real-world problems. … The book will be useful to interested undergraduate and graduate students familiar with sufficient knowledge of modern systems theory as well as to professionals in control engineering and applied mathematics, and also to general readers interested in this emerging subject.” (Lubomír Bakule, zbMATH 1314.93006, 2015)
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