Author(s)

Baili Su, Guoyuan Qi, Barend J. van Wyk

F’SATIE and Department of Electrical Engineering, Tshwane University of Technology, Pretoria, South Africa.
School of Electrical Information and Automation, Qufu Normal University, Qufu, China.

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.

Switched System; Lyapunov Function; High Order Differentiator; Control Constraint; Output Feedback; Model Predictive Control; Stable Region

B. Su, G. Qi and B. Wyk, "Hybrid Predictive Control Based on High-Order Differential State Observers and Lyapunov Functions for Switched Nonlinear Systems," Applied Mathematics, Vol. 4 No. 9A, 2013, pp. 32-42. doi: 10.4236/am.2013.49A006.