Switched System Optimal Control Based on Parameterizations of the Control Vectors and Switching Instants
This paper presents a new approach for solving optimal control problems for switched systems with prespecified order of the sequence of subsystems. For such problems, we need to seek both the optimal switching instants and the optimal continuous inputs. The optimal control problem for hybrid systems is transcribed into an equivalent problem parameterized by the switching instants and the control vectors. Through the discretization of the control space, the control vector is approximated by the B-spline functions. In order to search for the optimal switching instants, we introduce the normalized time variable and do normalized treatment for the control arcs. The optimal switching control problem is converted to a nonlinear programming problem. The control profiles and switching instants act as decision variables. Two examples are solved using the proposed method so as to demonstrate the effectiveness of the method proposed.
Switched systems Optimal control problem B-spline functions Nonlinear programming problem
Rui-yan ZHAO Shu-rong LI
College of information and control engineering, China University of Petroleum, Dongying, 257061, China
国际会议
2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)
四川绵阳
英文
3299-3303
2011-05-23（万方平台首次上网日期，不代表论文的发表时间）