Observer design for matrix second order linear systems with uncertain disturbance input-a parametric approach

1. INTRODUCTION Matrix second-order linear (MSOL) systems capture the dynamic behavior of many natural phenomena and have wide applications in several fields, such as vibration and structural analysis, spacecraft control and robotics control thus, they have attracted consider- able attention1~10]. In Ref. 3], the controllability and observability theory of MSOL systems was studied directly in the matrix second-order framework. One type of observers for MSOL systems was proposed in …

Observer design for matrix second order linear systems with uncertain disturbance input-a parametric approach

A simple parametric approach to design a full-order observer for matrix second-order linear systems with uncertain disturbance input in the matrixsecond-order framework is proposed. The basic idea is to minimize the H2 norm of the transfer function from disturbance to estimation error using the design degrees of freedom provided by a parametric approach in the observer design. Besides the design parameters, the eigenvalues of the closed-loop system are also optimized within desired regions on the left-half of the complex plane. Using the proposed approach, additional specifications can be easily achieved. A spring-mass system is using to show the effect of the proposed approaches.