Finite‐time sampled‐data H∞ control of Markovian jumping linear systems with mode‐dependent time‐varying delays

Wang, Junyi; Ji, Zewen; Xu, Hongli; Qiu, Jianlong; Jiang, Yang

doi:10.1002/oca.2857

Cited by 1 publication

(1 citation statement)

References 38 publications

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“…The 18 finite-time controller has a faster convergence rate, higher precision, and more robustness to uncertainties [23][24][25]. Many remarkable outcomes have been reported about the finite-time stability theories, for example, the finite-time stability for linear time-delay systems [26], the necessary and sufficient conditions for the finite-time stability of systems [27], and the global finitetime stability theory [28]. The above literature presents simple feedback control strategies for governing systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear finite‐time control of hydroelectric systems via a novel sliding mode method

Zhang

Ren

Mahmud

et al. 2022

IET Generation Trans & Dist

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A nonlinear finite-time sliding mode control is proposed in this paper for the governing of complex hydroelectric systems with the finite/fixed setting time. The proposed control method is derived from the finite-time stability and sliding mode control theories. The finite settling time is calculated and bounded, not depending on the initial conditions of the system. The solution trajectory of the controlled hydroelectric system can reach the sliding manifold in a fixed settling time, regardless of initial values. Based on the Lyapunov theory, the controlled hydroelectric system also converges to a reference state within the fixed settling time. A simulation of a high-dimensional hydroelectric system verifies the feasibility of the proposed method. In addition, a comparison between the proposed method and the conventional PID method demonstrates the advantages of the proposed method in the shorter settling time and smaller overshoot. The proposed control method allows for the design of a flexible controller and provides an improvement in dynamic performance.

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