Discrete-Time State-Feedback Switching LPV Control with Separate Lyapunov Functions for Stability and Local Performance

This paper presents state-feedback switching linear-parameter-varying (LPV) control of discrete-time LPV systems under both average-dwell-time switching and arbitrary switching. In particular, this paper introduces new synthesis conditions based on
separate
Lyapunov functions for stability and local performance, which has the potential to improve the local performance, compared to the conventional synthesis conditions based on common Lyapunov functions for both stability and performance. All the synthesis conditions are expressed in terms of parameter-dependent linear matrix inequalities. The proposed approaches and the benefit of using separate Lyapunov functions are validated on a numerical example.