含未知输入的Delta算子切换系统观测器设计

Observer Design for Delta Operator Switching Systems with Unknown Inputs

对于一类满足一定秩条件的含有未知输入的Delta算子切换系统,提出一种全阶观测器模型,并根据Lyapunov稳定性理论,利用矩阵不等式方法得到观测器存在的条件,进而给出全阶观测器各参数矩阵的计算方法和步骤.通过数值算例验证了观测器设计方法的有效性.

For a class of Delta operator switching systems with unknown inputs that satisfy certain rank conditions,a full-order observer model is proposed.Based on Lyapunov stability theory,the conditions for existence of the observer are obtained using matrix inequality method,and then the calculation method and steps for the parameter matrices of the full-order observer are provided.Finally,a numerical example is provided to demonstrate the effectiveness of this method.