Stabilisation of time delay systems with nonlinear disturbances using sliding mode control

Onyeka, Adrian E.; Yan, Xing‐Gang; Mao, Zehui; Mu, Jianqiu

doi:10.1504/ijmic.2019.098790

Cited by 3 publications

(1 citation statement)

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“…Lyapunov–Krasovskii functional method and Lyapunov–Razumikhin function method are two main techniques which have been largely considered in the literature. When comparing the former to the latter, the Lyapunov–Razumikhin method, in most cases, is more robust to large constant delay and time‐varying delay with fast change rate [16, 17] although in recent works [18, 19], there is no limitation to the change rate of the time‐varying delay. It should be noted that various control methods have been applied to complex non‐linear and time delay systems such as proportional and integral (PI) control [20, 21], sampled data control [22], robust control [2], model predictive control [23] and sliding mode control (SMC) [3, 5] etc.…”

Section: Introductionmentioning

confidence: 99%

Robust decentralised load frequency control for interconnected time delay power systems using sliding mode techniques

Onyeka

Yan

Mao

et al. 2020

IET Control Theory & Applications

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In this paper, a class of interconnected systems is considered, where the nominal isolated systems are fully nonlinear. A robust decentralised sliding mode control based on static state feedback is developed. By local coordinate transformation and feedback linearization, the interconnected system is transformed to a new regular form. A composite sliding surface which is a function of the system state variables is proposed and the stability of the corresponding sliding mode dynamics is analysed. A new reachability condition is proposed and a robust decentralised sliding mode control is then designed to drive the system states to the sliding surface in finite time and maintain a sliding motion thereafter. Both uncertainties and interconnections are allowed to be unmatched and are assumed to be bounded by nonlinear functions. The bounds on the uncertainties and interconnections have more general forms when compared with existing work. A MATLAB simulation example is used to demonstrate the effectiveness of the proposed method.

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