Stabilization of switched nonlinear systems with input constraints using convex optimization
This paper considers the problems of stabilization and disturbance rejection for a class of switched polynomial systems with bounded input constraints. Based on multiple Lyapunov function(MLF) and state-dependent switching, sufficient conditions are given in terms of polynomial matrix inequalities(PMIs), under which the trajectories of the resulting switched system starting from a bounded set will remain inside it or a larger bounded set, meanwhile, the occurrence of sliding motion will not destroy the established property. With the proposed conditions, the disturbance rejection can be formulated as constrained optimization problem. Moreover, polynomial annihilators are introduced to reduce the conservatism. The proposed condition can be verified by the sum of squares(SOS) technique, and a numerical example is given to illustrate the proposed approach.
switched polynomial system input constraints state-dependent switching sliding motion constrained optimization
ZHAO Guanglei WANG Jingcheng
Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Controland Inf Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and In
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
637-642
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）