Weighted L 2 gain performance controller parameterisation of linear switching plants with average dwell time

This study addresses the problem of weighted L 2 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 controlled performance.