Multi-objective control of an active vibration system via switching

Multi-objective control is the problem of optimising various conflicting objectives. In this paper, the multi-objective active vibration control via switching is proposed. The switching is applied to the separately designed H ₂ and H _w controllers, instead of considering both objectives in the synthesis of a single controller. Each controller is designed using linear matrix inequalities (LMIs). The overall stability of the closed-loop is guaranteed through a specific controller realisation. The H ₂ controller is utilised to improve the transient response and the H _¿ controller in steady-state performance. The switching approach in multi-objective control reduces the conservatism of the design. Control of the active vibration system as a regulator is studied in the present paper.