Observer-based controller for Lipschitz nonlinear systems

Mohsen Ekramian

International Journal of Systems Science, 2017, vol. 48, issue 16, 3411-3418

Abstract: An observer-based controller for Lipschitz nonlinear systems is presented. The necessary and sufficient condition to ensure stability of state-observer as well as nonlinear system with state-feedback control law is derived. According to the separation principle, the closed-loop stability is guaranteed based on dual problems concerning stability of state-observer and stability of state-feedback parts. Also, the stability region for locally Lipschitz nonlinearities is obtained. A practical synthesis approach to achieve controller parameters is then given which yields the closed-loop convergence with less conservative results. The effectiveness of the proposed synthesis method is finally demonstrated by simulation results.

Date: 2017
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DOI: 10.1080/00207721.2017.1381894

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