首页|A model reduction approach for discrete-time linear time-variant systems with delayed inputs

A model reduction approach for discrete-time linear time-variant systems with delayed inputs

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A model reduction approach is presented for discrete-time linear time-variant input-delayed systems.According to this proposed approach,a dynamical variable is constructed by taking advantage of the current state and historical information of input.It is revealed that the behavior of this dynamical variable is governed by a discrete-time linear delay-free system.It is worth noting that the presented variable transformation does not require the system matrix to be invertible.Based on the reduced delay-free models,stabilizing control laws can be easily obtained for the original delayed system.For the case with a single input delay,the constructed variable is an exact prediction for the future state,and thus the stabilizing control law could be designed by replacing the future state with its prediction.Finally,three discrete-time periodic systems with delayed input are employed to illustrate how to utilize the presented model reduction approaches.

reduction approachpredictor-based feedbacktime-varying systemsdelayed inputperiodic system

Ai-Guo WU、Guang-Ren DUAN、Yu WANG、Jie ZHANG

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School of Mechanical Engineering and Automation,Harbin Institute of Technology(Shenzhen),Shenzhen 518055,China

HIT Wuhu Robot Technology Research Institute,Wuhu 241008,China

Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen 518055,China

深圳市科技计划深圳市科技计划HIT Wuhu Robot Technology Research Institutescience Center Program of National Natural Science Foundation of China国家自然科学基金国家自然科学基金

RCJC20210609104400-005KQTD20210811090146075HIT-CXY-CMP2-IARU-21-016218810162173112U2013203

2024

10.1007/s11432-022-3766-3

中国科学:信息科学(英文版)
中国科学院

中国科学:信息科学(英文版)

CSTPCDEI
影响因子：0.715
ISSN：1674-733X
年,卷(期)：2024.67(4)
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