Synthesis of Variable Gain Robust State Observer for Linear Systems With Structured Uncertainties

This paper proposes a new variable gain robust state observer for a class of linear uncertain systems. The variable gain robust state observer proposed in this paper consists of fixed observer gain matrices and nonlinear modification functions which are determined by appropriate updating rules. It is shown that sufficient conditions for the existence of the proposed variable gain robust state observer can be reduced to solvability of Linear Matrix Inequalities (LMIs). Finally, we give simple numerical examples so as to illustrate the effectiveness of the proposed variable gain robust state observer.