Title :
Explicit MPC for multi-rate control systems
Author :
Jiang, Yali ; Zou, Yuanyuan ; Niu, Yugang
Author_Institution :
Key Lab. of Adv. Control & Optimization for Chem. Process, East China Univ. of Sci. & Technol., Shanghai, 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. The optimization problem of multi-rate predictive control systems can be formulated by solving a multiparametric linear program (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 :
closed loop systems; discrete time systems; linear matrix inequalities; linear programming; linear systems; predictive control; stability; state feedback; closed-loop multirate piecewise affine structure; discrete-time linear-invariant multirate system; explicit model predictive control scheme; explicit state feedback control laws; linear matrix inequality; multiparametric linear program; multirate control system; multirate predictive control system; optimization problem; stability analysis; Chemical processes; Optimal control; Optimization; Predictive control; Predictive models; Stability analysis;
Conference_Titel :
Modelling, Identification and Control (ICMIC), Proceedings of 2011 International Conference on
Conference_Location :
Shanghai
DOI :
10.1109/ICMIC.2011.5973770
