PD Observer Design for Descriptor Systems with Unknown Inputs: Application to Infinite Bus System

Proportional derivative (PD) observers are designed for linear descriptor systems with unknown inputs. Observer existence conditions are provided in the form of rank conditions directly on system matrices. Observer matrices are constructed by pole placement method and Linear Matrix Inequality (LMI) approach. The application of the work is demonstrated on a mathematical model of an infinite bus system. The efficiency of the proposed method is shown by simulation results.