Input-output energy decoupling for uncertain discrete-time systems with time-varying delays

This paper presents an input-output energy decoupling method for uncertain discrete-time systems with time-varying delays. It is an approximate decoupling method, and the energy of every input mainly controls the energy of a corresponding output and influences the energy or the other outputs as weakly as possible. The problem of input-output energy decoupling for uncertain discrete-time systems is studied in terms of linear matrix inequalities (LMIs). The system is subject to time-varying norm-bounded parameter uncertainties in both the state and output matrices. Finally, an example is presented to demonstrate the effectiveness of the proposed approach.