Design of Stabilizing Controllers for Nonlinear Systems

摘要：

This paper is focused on developing a new approach to nonlinear control synthesis using tangent linearization control and state-dependent Riccati differential equations. Motivated by recent results on tangent linearization control, the nonlinear feedback stabilization problem for nonlinear systems is firstly reduced to that of a feedback stabilizing controller design for linear time-varying systems. And then, a state-dependent Riccati differential equation based approach is presented to design of state-feedback controller of the deduced linear time-varying system. To implement such a controller, only a state-dependent Riccati differential equation with given positive definite initial condition needs to be solved online. Moreover, it is shown analytically that the closed-loop system under the proposed nonlinear feedback is exponentially asymptotically stable. Finally, a numerical example shows the effectiveness of the proposed approach.

关键词： Tangent Linearization Control State-Dependent Riccati Differential Equations Nonlinear Control Stabilization Linear Time-Varying Systems

作者: CAI Guang-Bin HU Chang-Hua DUAN Guang-Ren

作者单位: Unit 302, Department of Automation, Xi’an Research Institute of High-Tech, Xi’an, 710025, P. R. Chin Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, P

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 589-594

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）