Feedback Control Design for Systems with x-Discontinuous Right-Hand Side

V. I. Korobov () and Y. V. Korotyayeva ()
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V. I. Korobov: University of Szczecin
Y. V. Korotyayeva: Karazin National University

Journal of Optimization Theory and Applications, 2011, vol. 149, issue 3, No 3, 494-512

Abstract: Abstract The problem of the admissible feedback synthesis for nonlinear systems with discontinuous right-hand side is considered. Sufficient conditions for solvability of this problem are proved. The neighborhood of the origin is broken in a finite number of domains G 1,G 2,…,G k . In each G j a control system $\dot{x}=f_{j}(x,u)$ is given. The problem of the admissible feedback synthesis is completely studied for control systems of the form $\dot{x}=a_{j}(x)+\gamma_{j}(x,u) b_{j}(x)$ , where $u\in \Omega_{j} \subset \Bbb{R}$ for x∈G j . The controllability function method is used to construct the feedback control.

Keywords: Control system; x-discontinuous right-hand side; Feedback; Synthesis problem; Pass point (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9800-z

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