Quasi-sliding mode control for discrete-time uncertain systems with time-varying delay and stochastic disturbance

Cui, Yanliang; Xu, Lanlan; Ji, Juanjuan; Shi, Rui; Li, Xiqing

doi:10.1080/00207179.2020.1788729

Cited by 8 publications

(3 citation statements)

References 33 publications

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“…Definition 29‐32 Given initial state x ( t 0 ) = x ( a 0 ) = x 0 , if there are positive real number b and t ( b ) such that ‖ x ( t ) ‖ ≤ b when t ≥ t ( b ), then the solution of the system (1) (suppose it exists and can be continued over [ t 0 , ∞ )) is UUB.…”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

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Dual event‐triggered control for linear systems with consecutive packet losses

Cui

2021

Intl J Robust & Nonlinear

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This article investigates an event‐triggered control for linear continuous‐time systems by tolerating consecutive packet losses. Two event‐triggers are, respectively, employed in the sensor‐to‐controller and controller‐to‐actuator channels in order to reduce the data transmission pressures. A simple discrete‐time state feedback control law is proposed and the control command is only updated when the actuator successfully receives the command information. By the proposed method, the event‐triggers are proved to be maintained or violated consecutively. The appropriate data sampling period and the maximal allowable packet loss numbers can be quantitatively determined. In addition, it is also proved that the event‐trigger in controller‐to‐actuator may not be violated immediately with the event‐trigger in sensor‐to‐actuator. The uniform ultimate bound of the closed‐loop system can be achieved. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.

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Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

“…Therefore, by (31) and (32), one hasV(t) < −x T (t)Qx(t) + 2 x T (s k,1 )x(s k,1 ), t ∈ [a k , a k+1 ).…”

Section: Proof For Theoremmentioning

confidence: 99%

Dual event‐triggered control for linear systems with consecutive packet losses

Cui

2021

Intl J Robust & Nonlinear

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“…For sliding mode control (SMC) insensitivity to external disturbance and system uncertainty, it is widely used in the nonlinear discrete-time system [26][27][28][29]. Moreover, there is always a limitation on the actuator of the practical system, which leads to limited input magnitude and rate.…”

Section: Introductionmentioning

confidence: 99%

Discrete‐time extended state observer‐based model‐free adaptive constrained sliding mode control with modified prescribed performance via CFDL and PFDL

Huang,

Dong,

Zhang

et al. 2023

Asian Journal of Control

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To tackle the trajectory tracking problem and achieve high control accuracy in many actual nonlinear systems with unknown dynamics and input saturation, a novel discrete‐time extended state observer‐based model‐free adaptive constrained sliding mode control with modified prescribed performance is investigated via compact‐form dynamic linearization (CFDL) and partial‐form dynamic linearization (PFDL). Firstly, the original non‐affine system is turned into an affine one comprising an unknown nonlinear term and a linearly parametric term affine to the input via both PFDL and CFDL. Then, a discrete‐time extended state observer (DESO) is used to estimate the lumped disturbance containing the unknown nonlinear time‐varying term and the term relevant to the estimation error of pseudo partial derivative (PPD) parameter. Furthermore, a modified prescribed performance function is introduced in the model‐free adaptive sliding mode control scheme to keep the output tracking error in the prescribed bound without causing any asymmetric offset error in the steady‐state. Meanwhile, to suppress the influence of input saturation on the control system, an anti‐windup compensator is used. Finally, rigorous theoretical analyses show the robust convergence of the tracking error via the proposed CFDL and PFDL‐based methods under external disturbances. Simulations verify the superiority of the modified prescribed performance function, DESO, and anti‐windup compensator in the proposed method. Also, the effects of the PFDL‐based method and the CFDL‐based one are compared during the simulation.

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