主要研究含有未知输入的线性切换系统的观测器设计问题. 系统中包含有强可检测和非强可检测的子系统. 首先, 给出了状态及输出的坐标变换, 通过坐标变换, 系统的一部分子系统将不受未知输入的影响. 其次, 当未知输入的扰动矩阵线性相关, 可以设计出不含状态跳跃的观测器. 更一般的, 如果扰动矩阵线性无关, 可以设计含有状态跳跃的观测器. 基于平均驻留时间的假定, 可以得到重构状态的误差指数收敛于0. 最后给出数值仿真验证理论结果.

In this paper, two reduced-order switched observers are designed for some classes of switched linear systems with unknown inputs, which contain not only strongly detectable subsystems but also nonstrongly detectable ones. Firstly, state and output changes of coordinates that decouple the unknown input from a subset of the transformed state coordinates are proposed. Secondly, when the set of unknown input distribution matrices are linearly dependent, an observer without state jumps which guarantees the asymptotic state reconstruction is designed. For general case, a observer with state jumps is designed. By appropriate Lyapunov analysis, the estimation errors in both cases are proven to be exponentially convergence under an average dwell-time constraint on the switching times. Finally, some simulations are given to illustrate the results.