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Titlebook: Attractive Ellipsoids in Robust Control; Alexander Poznyak,Andrey Polyakov,Vadim Azhmyakov Book 2014 Springer International Publishing Swi

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期刊全称Attractive Ellipsoids in Robust Control
影响因子2023Alexander Poznyak,Andrey Polyakov,Vadim Azhmyakov
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发行地址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
学科分类Systems & Control: Foundations & Applications
图书封面Titlebook: Attractive Ellipsoids in Robust Control;  Alexander Poznyak,Andrey Polyakov,Vadim Azhmyakov Book 2014 Springer International Publishing Swi
影响因子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.
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Robust Control of Implicit Systems,. The stability/robustness analysis of the resulting closed-loop system involves a modified descriptor approach associated with the usual Lyapunov-type methodology. The theoretical schemes elaborated in our contribution are finally illustrated by a simple computational example.
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,Positron annihilation at F′ centers,f the attractive ellipsoid containing all possible bounded dynamic trajectories. The corresponding numerical procedures for designing the best feedback gain matrices are introduced and discussed for each type of considered feedback. Several illustrative examples clearly show the effectiveness of the suggested technique.
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Thermally-stimulated phenomena,that the convergence to a quasiminimal region of the origin using the suboptimal control signal is guaranteed. The design procedure is given in terms of the solution of a set of matrix inequalities. Benchmark examples illustrating the design are given.
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Robust Output Feedback Control,f the attractive ellipsoid containing all possible bounded dynamic trajectories. The corresponding numerical procedures for designing the best feedback gain matrices are introduced and discussed for each type of considered feedback. Several illustrative examples clearly show the effectiveness of the suggested technique.
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