Predictive Control of Convex Polyhedron LPV Systems with Markov Jumping Parameters

摘要：

The problem of receding horizon predictive control of stochastic linear parameter varying systems is discussed. First, constant coefficient matrices are obtained at each vertex in the interior of linear parameter varying system, and then, by considering semi-definite programming constraints, weight coefficients between each vertex are calculated, and the equal coefficients matrices for the time variable system are obtained. Second, in the given receding horizon, for each mode sequence of the stochastic convex polyhedron linear parameter varying systems, the optimal control input sequences are designed in order to make the states into a terminal invariant set. Outside of the receding horizon, stability of the system is guaranteed by searching a state feedback control law. Finally, receding horizon predictive controller is designed in terms of linear matrix inequality for such system. Simulation example shows the validity of this method.

关键词： predictive control convex polyhedron linear parameter varying systems Markov jumping parameters

作者: YIN Yanyan LIU Fei SHI Peng KARIMI Hamid Reza

作者单位: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, CF37 1DL, Un Department of Engineering, Faculty of Engineering and Science University of Agder N-4898 Grimstad, N

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 603-608

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）