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Robust control via state feedback for a class of uncertain bilinear systems. (English) Zbl 0851.93066

Summary: This paper is concerned with the problem of designing a stabilizing controller for a class of uncertain bilinear systems. The uncertainties in the system must satisfy a matching condition and their bounds should be known. The so-called improved approach for stability analysis of nonlinear systems is used. Under some suitable assumptions, a linear robust state feedback controller can be designed.

MSC:

93D21 Adaptive or robust stabilization
93D15 Stabilization of systems by feedback
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References:

[1] W. C. Yang and M. Tomizuka, Discrete-time Robust control via state feedback for single input systems, IEEE Trans. Automat. Control., AC-35 (1990), 590-598. · Zbl 0705.93036 · doi:10.1109/9.53532
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[4] K. Liu and F. L. Lewis, An Improved result on the stability analysis of nonlinear systems, IEEE Trans. Automat. Control., AC-37, 9 (1992). 1425-1431. · Zbl 0755.93036 · doi:10.1109/9.159586
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