Robust finite-time PID control for discrete-time large-scale interconnected uncertain system with discrete-delay

V. Tharanidharan, R. Sakthivel, Yong Ren and S. Marshal Anthoni

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 192, issue C, 370-383

Abstract: In this paper, we investigate the decentralized proportional–integral–derivative (PID) output-feedback control problem for a class of discrete-time uncertain large-scale systems with delayed interconnections. The robust finite time stabilization of the addressed uncertain large-scale system is attained via the feedback control with the prescribed extended passive performance index. Specifically, by using an appropriate Lyapunov–Krasovskii functional, a new set of sufficient conditions is derived on the basis of linear matrix inequality which ensures the finite-time boundedness of the augmented closed-loop uncertain large-scale systems. Furthermore, cone complementarity linearization (CCL) algorithm is developed to obtain the control gain parameters. Finally, a numerical example is provided to illustrate the effectiveness of proposed control design.

Keywords: Large-scale interconnected uncertain systems; Decentralized technique; PID controller; Discrete-delay; Finite-time approach (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:192:y:2022:i:c:p:370-383

DOI: 10.1016/j.matcom.2021.08.024

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