access icon free Observer-based output feedback control of two-dimensional systems with periodic scheduling protocol and redundant channels

© The Institution of Engineering and Technology
Received 13/05/2020, Accepted 24/12/2020, Revised 02/11/2020, Published 18/01/2021

In this study, the observer-based output feedback control problem is investigated for the two-dimensional (2D) networked control system (NCS) in form of Fornasini–Marchesini second model. The communication from the controller to the actuator is carried out through a shared network medium, where only one signal gets the network access at each transmission instant. To avoid data collisions, the periodic scheduling protocol is employed to assign the network access priority to the actuator in chronological order. To improve the reliability of data transmission, redundant channels are applied to deliver the measurement observed by the sensor to the controller. The aim of the addressed problem is to design an observer-based output feedback controller so that the considered 2D NCS satisfy a predefined performance index. Sufficient condition is given to ensure the performance of the closed-loop system via the Lyapunov theory and stochastic analysis. Moreover, the observer-based output feedback controller is designed to achieve the desired performance index, under which the controller parameters are determined by solving certain optimisation problems. Finally, a numerical example is given to demonstrate the feasibility of the proposed approach.

Inspec keywords: optimisation; reliability; observers; feedback; actuators; closed loop systems; networked control systems; multidimensional systems; scheduling; control system synthesis; data communication; H∞ control; Lyapunov methods; periodic control; stochastic processes

Other keywords: data transmission reliability improvement; H∞ control; periodic scheduling protocol; two-dimensional networked control system; closed-loop system; redundant channels; actuator; optimisation problems; Lyapunov theory; shared network medium; network access priority; control problem; two-dimensional systems; stochastic analysis; H∞ performance index; sufficient condition; controller parameters; observer-based output feedback controller; Fornasini-Marchesini second model; 2D networked control system; 2D NCS

Subjects: Actuating and final control devices; Optimal control; Other topics in statistics; Distributed parameter control systems; Time-varying control systems; Stability in control theory; Simulation, modelling and identification; Optimisation techniques; Control system analysis and synthesis methods

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