Title: An efficient explicit algorithm for multi-rate predictive control systems

Authors: Ya-Li Jiang; Yuan-Yuan Zou; Yu-Gang Niu

Addresses: Key Laboratory of Advanced Control and Optimisation for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China ' Key Laboratory of Advanced Control and Optimisation for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China; Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai, 200240, China ' Key Laboratory of Advanced Control and Optimisation for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China

Abstract: In this paper, explicit model predictive control (MPC) schemes for discrete-time linear-invariant multi-rate systems with constraints on inputs and states are studied. An efficient multi-rate predictive control algorithm is proposed by solving a multiparametric linear programming (mp-LP), and the explicit state feedback control laws are developed. Further, based on the closed-loop multi-rate piecewise affine (PWA) structure, stability analysis is presented by linear matrix inequality (LMI). The simulation results show the effectiveness of the explicit MPC for multi-rate system.

Keywords: multi-rate predictive control; multiparametric linear programming; mp-LP; explicit algorithm; stability analysis; explicit MPC; model predictive control; feedback control; multi-rate piecewise affine; PWA; linear matrix inequality; LMI; simulation.

DOI: 10.1504/IJMIC.2013.057132

International Journal of Modelling, Identification and Control, 2013 Vol.20 No.3, pp.208 - 214

Published online: 27 Sep 2014 *

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