Optimal Control for a Class of Affine Nonlinear Systems Based on SDRE and Improved Newton Method

摘要：

The problem of designing and implementing optimal controllers for a class of affine nonlinear systems is considered. Nonlinear optimal control problem generally leads to the difficulty of solving nonlinear Hamilton-Jacobi -Bellman (HJB) equation, in order to avoid the HJB problem, State-dependent Riccati equation (SDRE) method is adopted firstly to design nonlinear optimal controller. And then, a method of choosing weighting matrices of state-dependent is proposed. In order to avoid solving algebraic Riccati equations for P(x) at each sampling step, an Improved Newton Method (INM) is adopted secondly for implementation of SDRE controller, which can get P(x) by its own iteration, therefore computational and storage burden can be reduced for complex and high-order systems. Finally, simulation is carried out by a permanent magnet synchronous motor (PMSM) model to evidence the effectiveness of the method proposed in this paper.

关键词： SDRE-INM Optimal Control PMSM

作者: Hai-Ping Pang Ting-Li Liu

作者单位: Department of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266042, China

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: 2437-2441

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）