Dwell-time-based energy scheduling and distributed control for large-scale nonlinear systems under Round-Robin protocol
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ORIGINAL PAPER
Dwell-time-based energy scheduling and distributed control for large-scale nonlinear systems under Round-Robin protocol Jiajia Li · Guoliang Wei · Derui Ding · Engang Tian
Received: 13 May 2020 / Accepted: 7 October 2020 © Springer Nature B.V. 2020
Abstract In this paper, a distributed control problem is investigated for large-scale nonlinear systems under Round-Robin (RR) protocol and the energy constraint. The large-scale system is composed of several interconnected nonlinear subsystems that are equipped with independent sensors. RR protocol is adapted to coordinate the data transmission of each sensor from the viewpoint of fairness. Moreover, an energy scheduling scheme is employed in response to the energy constraint by distributing high energy or low energy to sensors. The transmissions (between sensors and controllers) with high energy can be accurate. Correspondingly, the accessed data may be lost with a certain probability when sensors use low energy. This paper aims to design the scheduling scheme and distributed controllers jointly such that the stochastic finite-time boundedness (FTB) can be guaranteed for large-scale nonlinear systems with limited energy and communication protocols over a finite horizon. In light of the energy allocations and the induced packet dropout, novel distributed controllers are established for largescale systems. Furthermore, the explicit expressions J. Li · G. Wei (B) College of Science, University of Shanghai for Science and Technology, Shanghai 200093, People’s Republic of China e-mail: [email protected] D. Ding · E. Tian Shanghai Key Lab of Modern Optical System, The Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, People’s Republic of China
of the controller for each subsystem and the energy scheduling scheme with average dwell time (ADT) are derived by using recursive design methods combined with stochastic analysis. Finally, two simulation examples are given to demonstrate the effectiveness of the designed scheme and controllers. Keywords Distributed control · Large-scale nonlinear systems · Round-Robin protocol · Energy constraint · Average dwell time
1 Introduction Over the past decades, there has been an increased interest in large-scale nonlinear systems due to their wide application in power systems, economic systems, transportation networks, and so on [1]. A large-scale system is composed of some interconnected subsystems. Therefore, it is often required to design a distributed or decentralized controller/filter for each subsystem depending on local measurements. In recent years, several methods and techniques have been developed rapidly for this kind of systems, for example decentralized control [2–4], distributed predictive control [5], decentralized fuzzy filter [6], distributed Kalman filter [7], distributed particle filters [8], and so on. Due to the characteristic of structural complexity and spatial distribution, the distributed methods can enhance the subsystem perf
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