含未知输入的非方离散广义系统的观测器设计与输入估计

Observer design for non-regular discrete-time descriptor systems with unknown inputs and inputs estimation

研究了含未知输入的非方离散广义系统的输入解耦观测器设计问题 .当系统脉冲能控时 ,把部分状态与未知输入一起作为新的未知输入 ,通过输入 状态对的非奇异变换 ,把非方离散广义系统的观测器设计问题等价地转化为离散正常状态空间系统的相应问题 .给出了观测器存在的充分条件和简单的设计方法 ,并用观测器的状态 ,系统的控制输入和输出渐近地估计了系统的状态和未知输入 .

The problem of inputs decoupled observer design for non-regular discrete-time descriptor systems with unknown inputs was considered. When the non-regular discrete-time descriptor systems were causal controllable, under the nonsingular transformation, equivalent discrete-time standard state space systems were derived via regarding the partial state as unknown input. The sufficient conditions for the existence of the observer and simple method to design the observer are given, and the state and unknown inputs of the descriptor systems are asymptotically estimated using the state of observer, control input and output of descriptor systems.