摘要
The receding horizon control（RHC） problem is considered for nonlinear Markov jump systems which can be represented by Takagi-Sugeno fuzzy models subject to constraints both on control inputs and on observe outputs.In the given receding horizon,for each mode sequence of the T-S modeled nonlinear system with Markov jump parameter,the cost function is optimized by constraints on state trajectories,so that the optimization control input sequences are obtained in order to make the state into a terminal invariant set.Out of the receding horizon,the stability is guaranteed by searching a state feedback control law.Based on such stability analysis,a linear matrix inequality approach for designing receding horizon predictive controller for nonlinear systems subject to constraints both on the inputs and on the outputs is developed.The simulation shows the validity of this method.
The receding horizon control（RHC） problem is considered for nonlinear Markov jump systems which can be represented by Takagi-Sugeno fuzzy models subject to constraints both on control inputs and on observe outputs.In the given receding horizon,for each mode sequence of the T-S modeled nonlinear system with Markov jump parameter,the cost function is optimized by constraints on state trajectories,so that the optimization control input sequences are obtained in order to make the state into a terminal invariant set.Out of the receding horizon,the stability is guaranteed by searching a state feedback control law.Based on such stability analysis,a linear matrix inequality approach for designing receding horizon predictive controller for nonlinear systems subject to constraints both on the inputs and on the outputs is developed.The simulation shows the validity of this method.
基金
supported by the National Natural Science Foundation of China (60974001
60904045)
National Natural Science Foundation of Jiangsu Province (BK2009068)
Six Projects Sponsoring Talent Summits of Jiangsu Province
作者简介
Corresponding author.Yanyan Yin was born in 1983. She is a Ph.D. candidate at Jiangnan University. Her research interests are stochastic systems and stochastic controller design. E-mail： yinyanyan_2006 @ 126.comFei Liu was born in 1965. He is a professor in Jiangnan University. His research interests are modem control techniques and fault detection. E-mail： fliu@jiangnan.edu.cn
