Title: Model-free predictive control for a class of switched nonlinear systems

Authors: Ye Tian; Yunshuo Wang; Baili Su; Cheng Tan

Addresses: College of Engineering, Qufu Normal University, Rizhao, 276826, China ' College of Engineering, Qufu Normal University, Rizhao, 276826, China ' College of Engineering, Qufu Normal University, Rizhao, 276826, China ' College of Engineering, Qufu Normal University, Rizhao, 276826, China

Abstract: A model-free predictive control (MFPC) method is devised towards a kind of high order discrete nonlinear switched systems whose models are undefined. Firstly, the estimation models are designed by using the compact dynamic linearisation technique and improved projection algorithm to approach the controlled nonlinear subsystems. Then, on the basis of the estimation models, the controller's explicit analytic solutions are obtained by solving the finite time domain rolling optimisation quadratic functions. Finally, an appropriate switching law is designed to make the subsystems switch reasonably in different subsystems, thus ensuring the stability of the whole system. The simulation results show that the control strategy is effective.

Keywords: predictive control; model-free control; nonlinear systems; switched systems; data-driven control; pseudo partial derivative matrix; compact form dynamic linearisation; Lyapunov function; projection algorithm; stability.

DOI: 10.1504/IJSCIP.2021.125161

International Journal of System Control and Information Processing, 2021 Vol.3 No.4, pp.319 - 333

Received: 29 May 2021
Accepted: 16 Dec 2021
Published online: 31 Aug 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article