Design of a robust model predictive control for nonlinear switched systems: A low‐conservative and recursive feasibility strategy

Abstract

This article proposes a robust H∞ based model predictive control scheme for Lipschitz nonlinear switched systems with persistent dwell time. In the developed method, the constraints corresponding to the recursive feasibility are included and the recursive feasibility is guaranteed. In this scheme, the existence of unstabilizable sub-systems and exogenous disturbances are included which makes it possible to avoid considering an ideal and simplistic assumption about switched systems. By simultaneously designing the controller and the switching signal and using multiple Lyapunov functions, the unacceptable conservatism in methods involving common Lyapunov functions and arbitrary switching signals is avoided. In the proposed solution, a time-varying prediction horizon is used for finite horizon cost functions, which in turn will be effective in reducing conservatism. In the suggested design strategy, the non-convex control scheme is formulated as an optimization problem in the framework of linear matrix inequality. Finally, a numerical example is developed and the performance of the proposed scheme is evaluated.

Adaptive Anti-disturbance Switching Control for Switched T-S Fuzzy Systems

“…Due to the important role in switched systems, switching rules have attracted the attention of many scholars 8,9,10,11 . So far, numerous research results have been reported on various switched systems including variable order fractional switched systems 12 , networked switched systems 11,13 , nonlinear switched systems 14 and so on.…”