Robust dynamic output feedback predictive control for discrete uncertain systems with time-varying delays

Author:

Wang Shiqi1,Li Hui1ORCID,Li Hua2,Shi Huiyuan34ORCID,Sun Qiubai2,Li Ping1

Affiliation:

1. School of Electronic and Information Engineering, University of Science and Technology Liaoning, China

2. School of Business Administration, University of Science and Technology Liaoning, China

3. School of Information and Control Engineering, Liaoning Petrochemical University, China

4. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, China

Abstract

A robust dynamic output feedback predictive control approach is developed for a discrete system with time-varying delays, unknown external disturbances, and unmeasurable states. First, the discrete system is transformed into an incremental state deviation model. Based on this model, a novel tracking deviation feedback model is established by extending the output tracking error. Then, a robust predictive control law, possessing more degrees of freedom, is designed. The closed-loop model is further given in conjunction with the feedback model. Second, by using the linear matrix inequality (LMI) method, relaxation technique, and variable transformation method, a less conservative stability condition is given in LMI form, which allows the controller to tolerate a greater range of time-varying delays. The gains of the control law are acquired by solving the stability condition, and the control performance can be significantly enhanced. Finally, by utilizing the TTS20 water tank as a simulation case, the viability and effectiveness of the proposed method are demonstrated.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Liaoning Province

Graduate Science and Technology Innovation Program of the University of Science and Technology Liaoning

Youth Project of the Educational Department of Liaoning Province

Publisher

SAGE Publications

Subject

Instrumentation

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Robust Predictive Discrete-Time Controller in Constrained Systems With Uncertain and Delayed Terms;IEEE Transactions on Systems, Man, and Cybernetics: Systems;2024-09

2. Adaptive Variable-Damping Impedance Control for Unknown Interaction Environment;Mathematics;2023-12-14

3. Predictive Fault-Tolerant Control with Robust Dynamic Output Feedback for Discrete Uncertain Systems with Time Delays;2023 International Annual Conference on Complex Systems and Intelligent Science (CSIS-IAC);2023-10-20

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