Probabilistic robust anti-disturbance control of uncertain systems

Abstract

<p style='text-indent:20px;'>We propose a novel method for constructing probabilistic robust disturbance rejection control for uncertain systems in which a scenario optimization method is used to deal with the nonlinear and unbounded uncertainties. For anti-disturbance, a reduced order disturbance observer is considered and a state-feedback controller is designed. Sufficient conditions are presented to ensure that the resulting closed-loop system is stable and a prescribed <inline-formula><tex-math id="M1">\begin{document}$ H_{\infty} $\end{document}</tex-math></inline-formula> performance index is satisfied. A numerical example is presented to illustrate the effectiveness of the techniques proposed and analyzed.