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研究了一类不确定离散切换线性奇异(SLS)系统任意切换律下的鲁棒容许性问题.假设系统参数不确定性满足范数有界条件.首先,采用切换Lyapunov函数方法,给出了一些新的保证名义离散SLS系统任意切换律下正则、无脉冲以及渐进稳定的充分条件,且条件表示为线性矩阵不等式形式.基于获得的条件,进一步给出了保证不确定离散SLS系统任意切换律下鲁棒容许的条件.将正常切换系统的切换Lyapunov函数方法推广到奇异切换系统.数值例子说明了该方法保守性的降低及可行性.
The robust admissibility problem under arbitrary switching laws for a class of uncertain switched linear singular (SLS) systems with uncertainties is studied. It is assumed that the uncertainties of the system parameters satisfy the bounded norm of the norm.Firstly, by using the switched Lyapunov function method, some The new guaranteed nominal discrete SLS system can be arbitrarily switched to a sufficient and sufficient condition for regular non-impulsive and asymptotic stability, and the conditions are expressed in the form of linear matrix inequalities. Based on the obtained conditions, Robust admissible conditions. The switched Lyapunov function method of normal switching system is generalized to singular switching system. The numerical example shows the conservative reduction and feasibility of this method.