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Limit cycles design for a class of bilinear control systems. (English) Zbl 1152.93395
Summary: In this paper, the feedback control for a class of bilinear control systems is investigated. Using the Bellman-Gronwall inequality, a feedback control is proposed to guarantee the existence of limit cycles for such bilinear control systems. Moreover, the exponentially stable limit cycles, the guaranteed convergence rate, and frequency of oscillation can be correctly estimated. Finally, a numerical example is provided to illustrate the use of the main result.

MSC:
93C10 Nonlinear systems in control theory
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
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