Abstract
This paper is concerned with observer-based feedback stabilization of networked control systems (NCSs) with random packet dropouts. Both sensor-to-controller (S/C) and controller-to-actuator (C/A) packet dropouts are considered, and their behavior is assumed to obey the Bernoulli random binary distribution. The hold-input strategy is adopted, in which the previous packet is used if the packet is lost. An observer-based feedback controller is designed, and sufficient conditions for stochastic stability are derived in the form of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the results.
Highlights
In the past few years, dramatic progress has been made for network analysis
An observer-based feedback controller is designed, and sufficient conditions for stochastic stability are derived in the form of linear matrix inequalities (LMIs)
Unparticular, many important results have been obtained in engineering, such as the stability analysis and controller design for networked control systems (NCSs) [1,2,3] and consensus for networked multiagent systems [4, 5]
Summary
In the past few years, dramatic progress has been made for network analysis. Unparticular, many important results have been obtained in engineering, such as the stability analysis and controller design for networked control systems (NCSs) [1,2,3] and consensus for networked multiagent systems [4, 5]. While NCSs have recently been receiving increasing attention due to their advantages over classical feedback control systems, the insertion of the communication network gives rise to new challenges Among these challenges, time delays and packet losses are two important factors that can severely degrade the performance of NCSs. In the past few years, much attention has been paid to the time delay problem of NCSs, see [6,7,8,9,10], to name a few. To the best of the authors’ knowledge, based on the hold-input strategy, the problem of observer-based feedback stabilization for NCSs with random S/C and C/A packet dropouts has not been investigated to date, which motivates the present study. An example is given to show the effectiveness of the control scheme proposed
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