摘要
基于双线性系统理论给出了一种切换控制系统的稳定切换序列设计方法。首先,提出一种分段的微分同胚变换可将线性切换系统转化为具有输入饱和特性的双线性系统。然后,基于双线性系统理论和李亚普诺夫稳定定律,给出了该双线性系统稳定控制器的设计方法。再经过逆微分同胚变换,即可得出镇定切换序列。最后通过一个数值算例说明方法的有效性和可行性。
An approach to build the switching sequence for the switched system based on the bilinear system theory is developed. Firstly, a segment transformation is given which can transform a switched system to be a nonlinear system with input saturation. Then, based on the control design approach of bilinear system and Lypunov theorem, the process to design the controller is derived. After inverse-transforming the proposed controller with that segment transformation method, the approach to design switching sequence is developed. Finally, through a numerical simulation, the feasibility and advantage of the proposed approach are illustrated.
出处
《航天控制》
CSCD
北大核心
2011年第6期3-7,13,共6页
Aerospace Control