Global sliding mode control for uncertain linear systems with input time-delays

Li, Xiaoqian; Li, Jing

doi:10.1109/wcica.2010.5554119

Cited by 4 publications

(3 citation statements)

References 23 publications

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“…The limitations of the sliding-mode control (SMC) are overcome in GSMC by rejecting the attaining motion phase and then guarantees that the closedloop performance is robust [8]. GSMC plays a vital role in the lumped parameter systems (LPSs), including nonlinear system [9], uncertain nonlinear system, linear time-delay system [10], and the hypersonic slide automobile [11]. For the sake of LPS, GSMC is commonly used to tracking control [9], system parameter uncertainties [10], enhancing the system robustness [11], time-delay, system uncertainties, non-linear input, speed up the convergence of the system [12], and finite-time tracking control [13].…”

Section: Introductionmentioning

confidence: 99%

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Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances

Eshag

Sun

et al. 2020

IEEE Access

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In this paper, the dynamics solution problem and the boundary control problem for the Timoshenko beam under uncertainties and exogenous disturbances are addressed. The dynamics of the Timoshenko beam are represented by one non-homogenous hyperbolic partial differential equation (PDE), one homogenous hyperbolic PDE, and three ordinary differential equations (ODEs). The authors suggest a method of lines (MOL) for obtaining the dynamics of the Timoshenko beam in the form of the ODE formula instead of the PDE formula. A global sliding mode boundary control (GSMBC) is designed for vibration reduction of the Timoshenko beam influenced by uncertainties, distributed disturbance, displacement boundary disturbance, and rotation boundary disturbance. Chattering phenomena are avoided by using exponential reaching law reinforced by a relay function. Along the time and position axis: a) the boundary displacements and rotation of the Timoshenko beam are converged to equilibrium; b) the distributed vibrations on both displacements and rotation axis of the Timoshenko are attenuated; c) influence of the exogenous disturbances and system parameters uncertainties are compensated. By using the Lyapunov direct approach, exponential convergence and robustness of the closed-loop system are guaranteed. Finally, simulations are carried out to show that the proposed GSMBC-based MOL scheme is effective for vanishing the vibrations of the Timoshenko beam under uncertainties and external disturbances. INDEX TERMS Boundary control, distributed parameter system (DPS), global sliding mode control (GSMC), method of lines (MOL), partial differential equation (PDE), Timoshenko beam.

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Section: Introductionmentioning

confidence: 99%

“…Until now, the aforementioned researches have studied the uncertainties with GSMC. The uncertain linear system is controlled by GSMC under the control input time delay in [10]. The handling of a chaotic nonlinear plant under various delays and input nonlinearities and uncertainties is achieved through GSMC in [26].…”

Section: Introductionmentioning

confidence: 99%

Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances

Eshag

Sun

et al. 2020

IEEE Access

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“…Using simulations the improvement in settling time of the substrate concentration was compared with the conventional method. Xiaoqian et al (2010) discussed a global sliding mode controller for linear and uncertain systems with a time delay. The integral sliding surface displays that trajectories starting off the manifold reach it in a finite time and have low chattering in the sliding motion.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode control design for robust regulation of time-delay processes

Musmade¹,

Patre²

2014

Transactions of the Institute of Measurement and Control

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This paper presents a new method for the robust control of time-delay processes using sliding mode control. In this approach an identified second-order-plus-deadtime model and state predictor are used for the sliding mode controller synthesis. To ensure the stability, the tuning parameters of switching control law are derived from the reachability condition. To test the applicability of the proposed approach, it was verified on processes having varying dynamics with deadtime. Simulations show that the proposed method is able to provide promising results compared to existing methods.

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