Memory State Feedback RMPC for Multiple Time-Delayed Uncertain Linear Systems with Input Constraints. (10th April 2014)

• Record Type: Journal Article
• Authors: Qin, Wei-Wei; Liu, Gang; Wang, Li-Xin; Zheng, Zhi-Qiang
• Other Names: Bi Shuhui Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-04-10
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/409863
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper focuses on the problem of asymptotic stabilization for a class of discrete-time multiple time-delayed uncertain linear systems with input constraints. Then, based on the predictive control principle of receding horizon optimization, a delayed state dependent quadratic function is considered for incorporating MPC problem formulation. By developing a memory state feedback controller, the information of the delayed plant states can be taken into full consideration. The MPC problem is formulated to minimize the upper bound of infinite horizon cost that satisfies the sufficient conditions. Then, based on the Lyapunov-Krasovskii function, a delay-dependent sufficient condition in terms of linear matrix inequality (LMI) can be derived to design a robust MPC algorithm. Finally, the digital simulation results prove availability of the proposed method.