Eigenvalue Assignment Method by PID Control for MIMO System

Abstract

This paper is concerned with PID control for n-state, r-input and m-output linear system (MIMO system). We propose a new PID parameters determination method based on an eigenvalue assignment. At first a new eigenvalue assignment method with a static output feedback is proposed. Then we regard a PID control as the static output feedback and apply its eigenvalue assignment method in order to determine the static output feedback gain related to PID parameters. Consequently the PID parameters are determined by matrices operation after giving an appropriate parametrized vector under a condition 2m + r ≥ n + 1. The effectiveness of the proposed method is confirmed with the simulation results for unstable MIMO systems.