Journal of Systems Engineering and Electronics ›› 2009, Vol. 20 ›› Issue (3): 590-597.

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Observer-based robust predictive control of singular systems with time-delay and parameter uncertainties

Liu Xiaohua1 & Yang Yuanhua2   

  1. 1. School of Mathematics and Information, Ludong Univ., Yantai 264025, P. R. China;
    2. School of Control Science and Engineering, Shandong Univ., Jinan 250061, P. R. China
  • Online:2009-06-23 Published:2010-01-03

Abstract:

The problem of observer-based robust predictive control is studied for the singular systems with norm-bounded uncertainties and time-delay, and the design method of robust predictive observer-based controller is proposed. By constructing the Lyapunov function with the error terms, the infinite time domain “min-max” optimization problems are converted into convex optimization problems solving by the linear matrix inequality (LMI), and the sufficient conditions for the existence of this control are derived. It is proved that the robust stability of the closed-loop singular systems can be guaranteed by the initial feasible solutions of the optimization problems, and the regular and the impulse-free of the singular systems are also guaranteed. A simulation example illustrates the efficiency of this method.