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N. H. E1-Farra, P. Mhaskar and P. D. Christofides, “Out put Feedback Control of Switched Nonlinear Systems Us ing Multiple Lyapunov Functions,” Systems & Control Letters, Vol. 54, No. 12, 2005, pp. 1163-1182. doi:10.1016/j.sysconle.2005.04.005
has been cited by the following article:
TITLE: Hybrid Predictive Control Based on High-Order Differential State Observers and Lyapunov Functions for Switched Nonlinear Systems
AUTHORS: Baili Su, Guoyuan Qi, Barend J. van Wyk
KEYWORDS: Switched System; Lyapunov Function; High Order Differentiator; Control Constraint; Output Feedback; Model Predictive Control; Stable Region
JOURNAL NAME: Applied Mathematics, Vol.4 No.9A, September 6, 2013
ABSTRACT: In this paper, a hybrid predictive controller is proposed for a class of uncertain switched nonlinear systems based on high-order differential state observers and Lyapunov functions. The main idea is to design an output feedback bounded controller and a predictive controller for each subsystem using high-order differential state observers and Lyapunov functions, to derive a suitable switched law to stabilize the closed-loop subsystem, and to provide an explicitly characterized set of initial conditions. For the whole switched system, based on the high-order differentiator, a suitable switched law is designed to ensure the whole closed-loop’s stability. The simulation results for a chemical process show the validity of the controller proposed in this paper.
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