Lower order controller design using weighted singular perturbation approximation

Abstract

Most of the analytical design procedures yield controllers of almost the same order as that of the plant.Resultantly, if the plant is of a high order, the controller obtained from these design procedures is also of a high order.The order of the controller should be practically acceptable for easy implementation. There are two indirect methodsfor designing a low order controller for high order plants: plant reduction and compensator reduction. In compensatorreduction, the order of the controller designed for the original higher order plant is reduced. In plant reduction, theorder of the plant is reduced for designing a lower order controller. The order of the controller or plant is reduced usingmodel order reduction techniques. In this paper, we propose a hybrid algorithm (plant-compensator reduction) based onfrequency-weighted singular perturbation approximation, which gives an improved performance as compared to existingalgorithms. The proposed hybrid technique can be used with H∞ , LQG, or any other loop shaping procedures to obtaina lower order controller. The proposed technique is validated on benchmark control problems.