Model reference tracking control for spatially interconnected discrete-time systems with interconnected chains

Hongyan Feng, Huiling Xu, Shengyuan Xu and Weimin Chen

Applied Mathematics and Computation, 2019, vol. 340, issue C, 50-62

Abstract: This study is concerned with the model reference tracking control problem for spatially interconnected systems (SISs) with interconnected chains in discrete-time case. The aim of this paper is to design a state-feedback controller such that the state of the controlled system tracks precisely a given stable reference signal or the output of the controlled system tracks the output of a given reference model well. First, two sufficient conditions are given to guarantee that the closed-loop system is asymptotically stable and the corresponding tracking performance requirement is satisfied, respectively. Next, the existence of the desired state-feedback controllers are obtained by the proposed methods based on linear matrix inequalities. Finally, a first-order partial differential equation simulation example is provided to illustrate the effectiveness of the derived methods.

Keywords: State tracking control; Output tracking control; Spatially interconnected discrete-time systems; Interconnected chains (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:340:y:2019:i:c:p:50-62

DOI: 10.1016/j.amc.2018.08.028

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