摘要
针对一类非线性切换广义系统,分两种情况对其输入–状态稳定性问题进行了研究.采用平均驻留时间方法,通过设计适当的切换规则,给出了非线性切换广义系统整体输入–状态稳定的充分条件.相较于已有的控制方法,该方法无需构造输入–状态稳定的Lyapunov函数以及无需设计控制器的具体结构,这在一定程度上方便了控制器的设计.最后,两个仿真算例表明了所提方法的有效性.
The input-to-state stability for a class of nonlinear switched descriptor systems is considered for two cases. Based on the average dwell time approach, sufficient conditions are derived to guarantee that the whole system is input-to- state stable through designing an appropriate switching rule. Compared with the existing methods, it is more convenient to design the controller for each subsystem, because it does not require to construct the input-to-state stable control Lyapunov function and to design the specific structure of the control inputs. Finally, two numerical examples show that the results obtained in this paper are feasible and effective.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2013年第3期385-391,共7页
Control Theory & Applications
基金
国家自然科学基金资助项目(61174032
61104183)
教育部新世纪优秀人才支持计划资助项目(NCET-10-0437)
关键词
非线性广义系统
切换系统
平均驻留时间方法
输入-状态稳定
nonlinear descriptor systems
switched systems
average dwell time approach
input-to-state stability
