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针对具有未知输入的不确定切换线性系统,在平均驻留时间切换下,讨论其状态和未知输入估计方法.通过等价变换解耦切换系统的未知输入,以构造降维切换系统.进而,设计切换观测器实现对原系统的状态估计,并求解具有线性矩阵不等式限制的最优化问题,得到观测器存在的充分条件.在基于函数微分数值解方法求得系统输出微分的基础上,提出一种切换系统未知输入的估计方法.最后通过一个数值实例验证了所提出方法的有效性.
Aiming at the uncertain switched linear systems with unknown inputs, the state and unknown input estimation methods are discussed under the mean dwell time switching, and the unknown inputs of the system are decoupled by equivalent transformation to construct the dimensionality-switching system. Furthermore, Switching observers to realize the state estimation of the original system and solving the optimization problem with the limit of the linear matrix inequalities and obtaining sufficient conditions for the existence of observers.Based on the derivation of the system output differential based on the functional differential numerical solution, The method of estimating the unknown input of the system is switched in. Finally, a numerical example is given to verify the effectiveness of the proposed method.