Finite-time resources-aware self-triggered H∞ controller for Markov jump systems

A resources-aware self-triggered finite-time H∞ controller collaborative design scheme for Markov jump systems (MJSs) is introduced to achieve the purpose of suppressing interference and saving computation resources in the given time interval. To reduce the redundant samplings, transmission and updates, the self-triggered paradigm is presented for MJSs, which determines the next triggered instant, based only on the latest samples and plants information. Considering the transient performance of the system, sufficient conditions to guarantee the finite-time boundedness and the expected interference suppression level of MJSs are also given for the developed resources-aware triggering technique. Moreover, gains of the finite-time H∞ controller and parameters of the proposed self-triggered paradigm are co-designed. Finally, the proposed theoretical algorithm is applied to the RLC circuit to investigate the validity and superiority of the proposed scheme, over the conventional schemes.