Given-time multiple frequency control for Markov jump systems based on derandomization

This paper investigates the multiple frequency performance of Markov jump linear systems (MJLSs) in a given time interval and different frequency ranges. To improve the transient performance of MJLSs, derandomization approach is proposed to combine the stochastic jumping rule among different modes into controller design by transforming the original MJLSs into augmented deterministic systems. Then from two scales including time and frequency domains, the multiple frequency stabilization problem is dealt with over a given time interval. Finally, we use a numerical example to discuss and verify the effectiveness and advantages of the presented theoretical algorithm.