Nonlinear Robust Control: An SOS – Based Approach
This paper presents a method for the analysis and control design of polynomial nonlinear systems in the presence of uncertainty and external disturbance. Based on the sum of squares (SOS) technique, sufficient conditions for robust stabilization without and with H∞ performance via state feedback are formulated in terms of state dependent linear matrix inequalities (LMIs). Such convex conditions can be solved by semidefinite programming relaxations based on the SOS programming, by which the obstacle in solving Hamilton-Jacobi Equations/Inequalities (HJEs/HJIs) disappear. A numerical example is presented to illustrate the effectiveness of the approach.
nonlinear robust stabilization sum of squares H∞ performance
HUANG Wenchao SUN Hongfei ZENG Jianping
Department of Automation, Xiamen University, Xiamen 361005, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
542-546
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）