Title: Observer-based robust model predictive control of singular systems

Authors: Xiao-hua Liu, Yuan-hua Yang

Addresses: School of Mathematics and Information, Ludong University, No. 186 Hong Qi Road, Zhi Fu District, Yantai, 264025, P.R. China. ' School of Control Science and Engineering, Shandong University, No. 17923 Jing Shi Road, Li Xia District, Jinan, 250061, P.R. China

Abstract: The robust model predictive control problem is studied for the singular systems with norm-bounded uncertainties when the states of controlled systems are immeasurable. By constructing the Lyapunov function with the error terms, the observer-based feedback control law is calculated by minimising the worst-case linear quadratic objective function. At each sampling time, the sufficient conditions for the existence of robust model predictive control are derived and expressed as linear matrix inequalities. It is proved that the robust stability of the closed-loop singular systems is guaranteed when the obtained feedback controller satisfies some conditions, and the regular and the impulse-free of the singular systems are also guaranteed. A simulation example is give to illustrate the efficiency of this method.

Keywords: model predictive control; MPC; singular systems; linear matrix inequality; LMI; state observer; uncertainties; robust control; simulation; feedback control.

DOI: 10.1504/IJMIC.2010.032369

International Journal of Modelling, Identification and Control, 2010 Vol.9 No.1/2, pp.123 - 128

Published online: 01 Apr 2010 *

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