Weighted L₂ gain performance controller parameterisation of linear switching plants with average dwell time

摘要

This study addresses the problem of weighted $L_2$L2 performance controller parameterisation for a plant switching among a finite family of given configurations. It is assumed that switching is a piecewise constant function of time and obeys an average dwell time switching logic. With a multiple Lyapunov functions-based technique, a dynamical switching output-feedback controller is solved with Riccati inequalities or linear matrix inequalities formulation. Furthermore, based on the controller construction, there exists a controller parameterisation, which guarantees that the closed-loop switching linear system with the average dwell time switching scheme achieves certain weighted $L_2$L2 controlled performance.