Non‐singular fixed‐time terminal sliding mode control of non‐linear systems

Zuo, Zongyu

doi:10.1049/iet-cta.2014.0202

Cited by 433 publications

(295 citation statements)

References 30 publications

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“…Different from Zuo's approach [51], the proposed control scheme extends fixed-time stable control to high-order nonlinear system and achieves semiglobally fixed-timely uniformly ultimately bounded stabilization.…”

Section: Remarkmentioning

confidence: 99%

“…This advantage promotes practical application of fixed-time stability, and it has been applied to design uniform robust exact differentiator [48] and address network consensus problem for multi-agent system [49,50]. In [51], a nonsingular fixed-time terminal sliding mode control was designed for second-order system. However, the existing results of fixed-time stable control scheme are only limited to low-order systems, and it is nontrivial to extend the fixed-time stable control to high-order systems.…”

Section: Introductionmentioning

confidence: 99%

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Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system

Liu

et al. 2016

Nonlinear Dyn

125

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In this paper, a fixed-time dynamic surface high-order sliding mode control approach is presented for chaos suppression and voltage stabilization in three-bus power system via design of current source converter-based static synchronous compensator controller. The proposed control strategy constructs two high-order sliding mode surfaces to achieve control objective. By combining backstepping idea with dynamic surface control (DSC) technique, highorder sliding mode controller is designed and the inherent problem of "explosion of complexity" in backstepping design is avoided. Further, a new stability concept is introduced into DSC design to achieve semiglobal uniform ultimate boundedness of the signals in high-order sliding mode system within finite time independent of initial condition. In addition, stability analysis is provided to show that the proposed control scheme can achieve semi-globally fixed-timely uniformly ultimately bounded stabilization. Finally, simulation results are given to demonstrate the effectiveness of the proposed control scheme and the superior performance over conventional DSC.

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Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system

Liu

et al. 2016

Nonlinear Dyn

125

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“…A fixed‐time attitude tracking controller is developed based on Sin‐FM in Reference . Two fixed‐time attitude controllers are given based on ASMM for attitude stabilization and attitude tracking in References , respectively. As mentioned in the above paragraph, TSM methods have some weaknesses.…”

Section: Introductionmentioning

confidence: 99%

Fixed‐time attitude tracking control for spacecraft based on adding power integrator technique

Jiang

Hou

et al. 2020

Intl J Robust & Nonlinear

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Summary In this article, the fixed‐time attitude tracking problem for rigid spacecraft is investigated based on the adding‐a‐power‐integrator control technique. First, a fixed‐time attitude tracking controller is designed to guarantee fixed‐time convergence of tracking errors. Then, by considering the presence of random disturbance and actuator faults, an adaptive fault‐tolerant attitude tracking controller is designed to guarantee tracking errors converge to a residual set of zero in a fixed time. The complete bounds on settling time are derived independently of initial conditions. The simulation results illustrate the highly precise and robust attitude control performance obtained by using the proposed controllers.

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“…In order to overcome these shortcomings, a new concept named fixed-time synchronization was firstly taken into account in [19]. Hints for future research on the fixed-time synchronization problem can be found in [20][21][22][23][24][25]. By designing a sliding mode controller, the fixed-time synchronization issue for complex dynamical networks was addressed in [21].…”

Section: Introductionmentioning

confidence: 99%

Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

Zhao

2018

Adv Differ Equ

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This paper is concerned with the global fixed-time synchronization issue for semi-Markovian jumping neural networks with time-varying delays. A novel state-feedback controller, which includes integral terms and time-varying delay terms, is designed to realize the fixed-time synchronization goal between the drive system and the response system. By applying the Lyapunov functional approach and matrix inequality analysis technique, the fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.

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Non‐singular fixed‐time terminal sliding mode control of non‐linear systems

Cited by 433 publications

References 30 publications

Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system

Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system

Fixed‐time attitude tracking control for spacecraft based on adding power integrator technique

Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

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