Terminal sliding mode tracking control for a class of SISO uncertain nonlinear systems

Chen, Mou; Wu, Qingxian; Cui, Rongxin

doi:10.1016/j.isatra.2012.09.009

Cited by 255 publications

(175 citation statements)

References 49 publications

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“…In most of the considered research, the boundaries of the perturbations are directly employed in the design of the TSMC law [22,23]. To estimate the disturbances, various design procedures based on the disturbance observer have been planned in the recent years [24].…”

Section: Literature Reviewmentioning

confidence: 99%

“…In [33], the robust synchronization problem of disturbed chaotic systems is investigated, where, using an LMI-based disturbance observer, the boundedness conditions of disturbance errors are satis ed. In [22,34], the disturbance observers are applied to estimate the disturbances and some robust control approaches are considered using the outputs of the disturbance observers. To satisfy the approach of the approximation errors to the origin in the nite time, TSMC disturbance observer has been established in [20,35,36].…”

Section: Literature Reviewmentioning

confidence: 99%

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Nonsingular fast terminal sliding-mode stabilizer for a class of uncertain nonlinear systems based on disturbance observer

Mobayen

Tchier

2017

Scientia Iranica

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Abstract. This paper investigates a novel nonsingular fast terminal sliding-mode control method for the stabilization of the uncertain time-varying and nonlinear thirdorder systems. The designed disturbance observer satis es the nite-time convergence of the disturbance approximation error and the suggested nite-time stabilizer assures the presence of the switching behavior around the switching curve in the nite time. Furthermore, this approach can overcome the singularity problem of the fast terminal sliding-mode control technique. Moreover, knowledge about the upper bounds of the disturbances is not required and the chattering problem is eliminated. Usefulness and e ectiveness of the o ered procedure are con rmed by numerical simulation results.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Nonsingular fast terminal sliding-mode stabilizer for a class of uncertain nonlinear systems based on disturbance observer

Mobayen

Tchier

2017

Scientia Iranica

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“…By defining the i th element of tracking error as e i1 = y i −y di , a nonlinear terminal sliding surface is set to [20] …”

Section: Tsmcmentioning

confidence: 99%

Constrained control allocation for nonlinear systems with actuator failures or faults

Boukani¹,

Khosrowjerdi²,

Amjadifard³

2017

Turk J Elec Eng & Comp Sci

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Abstract:In this paper, a combination of dynamic constrained control allocation with terminal sliding mode control is proposed for a general class of overactuated nonlinear systems with actuator faults/failures. First, the terminal sliding mode control is designed to converge the system tracking error to zero in a finite-time. Then a control allocation strategy is developed and will be solved by a Lyapunov method, which leads to a dynamic update law with finite-time convergence. This strategy satisfies input limits and when faults/failures occur in some of the actuators, the control signals are automatically redistributed among the healthy actuators. Simulation results on a near space vehicle show the effectiveness of the proposed approach.

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“…In [32], a high-speed sliding mode observer (SMO) was proposed to estimate the rotor position and the angular velocity of the permanentmagnet synchronous motor (PMSM). In [35], a terminal sliding mode disturbance observer for SISO system has been studied to guarantee that the approximation error of disturbance observer converges to zero in finite time. And based on the geometric homogeneity, a novel distributed finitetime observer was presented for the followers to estimate the leader's velocity in [36].…”

Section: Introductionmentioning

confidence: 99%

“…Some adaptive type-1 or type-2 fuzzy/neural schemes have also been proposed to control the nonlinear systems with actuator saturation in [42][43][44]. In [35], the input saturation was regarded as external disturbances, and a disturbanceobserver-based terminal sliding mode control was developed for SISO (single-input single-output) system. Most of the mentioned researches are based on the assumption that the input saturation is known.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Tracking Control for a Class of MIMO Nonlinear Systems with Unknown Asymmetric Saturations

2017

Mathematical Problems in Engineering

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This paper addresses the problem of finite-time tracking control for multiple-input and multiple-output (MIMO) nonlinear systems with asymmetric saturations. A systematic approach is proposed to eliminate the effects of unmeasured external disturbances and unknown asymmetric saturations. In the proposed control strategy, a terminal sliding mode disturbance observer is provided to estimate the augmented disturbance (which contains the unknown asymmetric input saturation and external disturbance). The approximation error of the augmented disturbance can converge to zero in a fixed finite-time interval. Furthermore, a novel finitetime tracking control algorithm is developed to guarantee fast convergence of the tracking error. Compared with the existing results on finite-time tracking control, the chattering problem and the input saturation problem can be solved in a unified framework. Several simulations are given to demonstrate the effectiveness of the proposed approach.

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Terminal sliding mode tracking control for a class of SISO uncertain nonlinear systems

Cited by 255 publications

References 49 publications

Nonsingular fast terminal sliding-mode stabilizer for a class of uncertain nonlinear systems based on disturbance observer

Nonsingular fast terminal sliding-mode stabilizer for a class of uncertain nonlinear systems based on disturbance observer

Constrained control allocation for nonlinear systems with actuator failures or faults

Finite‐Time Tracking Control for a Class of MIMO Nonlinear Systems with Unknown Asymmetric Saturations

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