Optimal sampled-data controller design with time-multiplied performance index for load-frequency control

This work presents an optimal sampled-data controller design with time-multiplied performance index based on dynamic programming for the load frequency control problem of a power system. This sampled-data controller is used in order to achieve not only in improving faster transient response, such as the incremental frequency deviation, but also in extending the structure of the sampled-data controller from the standard optimal performance index to the case of time-multiplied one. It is assumed here that the complete state observations are sampled at sampling time t_k to use in constructing a desired controller. The simulation results are shown to illustrate the effect of a time-multiplied performance index on the faster transient response of the regulated output.