Determination of the feedback gains of sampled-data linear systems with integral control using time-weighted quadratic performance indices

Abstract

Sampled-data feedback control with integral action, minimizing time-weighted quadratic performance indices, is considered for continuous linear systems, The necessary conditions to be satisfied by the feedback gains are developed by using the parameter optimization technique. To remove the dependence of the solution on reference inputs and external disturbances, the performance index based on statistical expectation is considered. The necessary conditions are solved by a gradient technique. Numerical examples are given to illustrate the effect of a time-weighted performance index on the transient responses of the output.