Automated pole placement algorithm for multivariable optimal control synthesis

Abstract

This work addresses the application of numerical optimization technique to the pole-placement problem in multivariable optimal control. An algorithm is developed to select a set of weighting matrix element such that the conventional transient response criteria are satisfied. General properties of the optimal system in terms of stablity, robustness and relative weights between state and control variables were explored by applying the method to the design of two mult ivariable systems. Results indicated that this method provides good insight to the problem for the designer and is therefore a useful tool in multivariable control synthesis.