NDLI: A novel set-membership control strategy for discrete-time linear time-varying systems

Content Provider	IET Digital Library
Author	Zhang, Yilian Yang, Fuwen Han, Qing Long Zhu, Yanfei
Abstract	A novel set-membership control strategy is investigated for a class of discrete time-varying systems with unknown-but-bounded noises. Different from some existing set-membership estimation based control methods, the proposed control strategy is designed by using state estimation sets instead of some specific estimation points. The controlled performance requirement is modelled as a new set-membership performance constraint which ensures that the controlled output meets the requirement at any time instant. First, the set-membership filtering method is used for obtaining the ellipsoidal state estimation set. Second, a set-membership controller is constructed by utilising the state estimation which is arbitrarily chosen from the corresponding estimation set. Accordingly, sufficient conditions are derived such that the controlled system is asymptotically stable and satisfies the proposed performance constraint in the presence of unknown-but-bounded noises at each time instant. Then, a constructive computational algorithm is provided to describe the proposed control strategy. Finally, illustrative simulation examples are presented to demonstrate the effectiveness of the proposed method.
Starting Page	3087
Ending Page	3095
Page Count	9
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 18, Dec (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/18
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5783
Journal	IET Control Theory & Applications
Publisher Date	2019-09-03
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Combinatorial Mathematics Control System Analysis Control System Synthesis Controlled Output Controlled Performance Requirement Controlled System Corresponding Estimation Discrete Control System Discrete Time System Discrete Time-varying System Discrete-time Linear Time-varying System Ellipsoidal State Estimation Set Existing Set-membership Estimation Filtering Method in Signal Processing Filtering Theory Linear System Modelling And Identification Set Theory Set-membership Control Strategy Set-membership Controller Set-membership Filtering Method Set-membership Performance Constraint Simulation Specific Estimation Point State Estimation State Estimation Sets Statistics Synthesis Method Time Varying Control System Time Varying System Unknown-but-bounded Noises
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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