DocumentCode :
3602041
Title :
A Delay-Distribution Approach to Stabilization of Networked Control Systems
Author :
Bin Tang ; Jun Wang ; Yun Zhang
Author_Institution :
Sch. of Autom., Guangdong Univ. of Technol., Guangzhou, China
Volume :
2
Issue :
4
fYear :
2015
Firstpage :
382
Lastpage :
392
Abstract :
A novel delay-distribution approach is proposed for a continuous-time networked control system (NCS) with time-varying transmission delays and transmission intervals based on an input-delay approach. The real-time distribution of input delays is modeled as a continuous-dependent and nonidentically distributed (d.n.d.) process. By introducing multiple indicator functions, the NCS is represented as a hybrid system with multiple input delay subsystems. An improved Lyapunov-Krasovskii method is proposed and it additionally exploits the real-time distribution of input delays by means of estimating the cross-product integral terms of the infinitesimal of the Lyapunov functional using a new bounding technique. Delay-distribution-dependent sufficient conditions are derived for the deterministic exponential stability and stabilizability of the NCS, which leads to tighter bounds of input delays than existing results. The resulting controller design method is formulated as an iterative linear optimization algorithm subject to linear matrix inequality constraints. Finally, numerical examples are presented to substantiate the effectiveness and advantage of the results.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; delays; iterative methods; linear matrix inequalities; linear programming; networked control systems; time-varying systems; Lyapunov functional; Lyapunov-Krasovskii method; NCS; bounding technique; continuous-dependent and nonidentically distributed process; continuous-time networked control system Stabilization; controller design method; delay-distribution approach; deterministic exponential stability; input-delay approach; iterative linear optimization algorithm; linear matrix inequality constraint; time-varying transmission delay; Delays; Integral equations; Mathematical model; Networked control systems; Real-time systems; Stability analysis; Delay-distribution approach; networked control system (NCS); networked control systems; transmission delays; transmission intervals;
fLanguage :
English
Journal_Title :
Control of Network Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
2325-5870
Type :
jour
DOI :
10.1109/TCNS.2015.2426731
Filename :
7096992
Link To Document :
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