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.
