Optimal PI-lead controller design

Abstract

The design of an optimal MIMO PI-lead controller is described for linear, time-invariant systems. The authors consider the linear quadratic regulator (LQR) design framework as a means of optimally selecting the gains of the controller. Therefore, the controller is designed by solving a steady state algebraic Riccati equation. The performance between the PID and optimal PI-lead controllers is illustrated and compared through an example. Simulations and implementations of the controllers are done using the MATLAB and SIMULINK software packages.