Direct computation of the performance index for an optimally controlled active suspension with preview applied to a half-car model

Abstract

A quadratic integral performance index is definedfor a linear active preview–type suspension and a series of matrix expressionsderived for its evaluation by means of MATLAB or some similar computer programin the case of a unit step input to the system. The computation, which isboth fast and accurate compared to simulation, requires the solution of Lyapunov–and Riccati–type equations. Some examples of numerical computation aregiven and these show excellent agreement with published results. The conclusionfeatures a useful computer program.