Analysis and Design of MCV Observer Based on Robust Invariant Set for Overcoming Observed Outputs with Outliers and Noises

This paper dealt with a design method of MCV observer using robust invariant set analysis method. In our previous research, a design method of state observer for output signal with outliers was proposed. In some control systems, adverse effect by outliers is one of the most important topics for solving. To overcome the adverse effect by outliers, we proposed a method to disappear the effect of outliers using median and candidates of estimated state. In this paper, we give an evaluation signal, and analyze the maximum absolute value of the evaluation signal using a robust invariant set. We propose the design method of observer gains to minify the maximum absolute value of the evaluation signal based on LMIs with some variables. It is easy to design the observer gains by our method. The effectiveness of the proposed design method of observer gains is evaluated by numerical simulation.