NDLI: Stabilization control for discrete time systems with random delay

Content Provider	IEEE Xplore Digital Library
Author	Huanshui Zhang Lin Li
Copyright Year	2015
Description	Author affiliation: Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China (Huanshui Zhang; Lin Li)
Abstract	This paper is concerned with stabilization control problem for discrete time systems with random input delay. The random delay is not required to be less than a sampling interval as in previous works but it can vary in any range of finite length. By defining an appropriate stochastic variable, a random delayed system is converted into a multiplicative-noise stochastic system with multiple constant delays. It is noted that the multiplicative noises in the converted system are correlated at different time, which leads to a challenging difficulty of control because no available tool can be applied to such a system. By taking a new concept of $F_{k-d-1}-measurable$ control, a necessary and sufficient condition to stabilize the random delayed system is given based on a coupled Riccati-type equation developed by the authors. Accordingly, the analytical stabilization controller is presented.
Starting Page	4180
Ending Page	4185
File Size	241936
Page Count	6
File Format	PDF
e-ISBN	9781479986842
DOI	10.1109/ACC.2015.7171985
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Delays Noise Discrete-time systems Actuators Symmetric matrices Stochastic processes Stochastic systems
Content Type	Text
Resource Type	Article

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