Adaptive continuous higher order sliding mode control

Edwards, Christopher; Shtessel, Yuri B.

doi:10.1016/j.automatica.2015.11.038

Cited by 330 publications

(164 citation statements)

References 14 publications

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“…Note that, during the sliding motion σ ( t )= v ( t )= 0 (which is identical to the condition

bold-italicσ false(t false) = \overset{bold-italicσ}{true} false(t false) = bold0

), the equivalent control ξ eq ( t ) must satisfy ξ eq ( t )= φ ( t ). A close approximation

{\overset{bold-italicξ}{true}}_{bold-italiceq} false(t false)

can be obtained in real time by low‐pass filtering of the switching signal ξ ( t ), which is available for use in the adaption schemes …”

Section: Resultsmentioning

confidence: 99%

“…A close approximation̄e q (t) can be obtained in real time by low-pass filtering of the switching signal (t), which is available for use in the adaption schemes. 31 Remark 3. Note that L 2 denotes the upper bound of the lumped disturbances, the condition > 2L 2 means that > 2|| (t)|| can be met and then the sliding can be achieved.…”

Section: Adaptive-gain Multivariable Super-twisting Smcmentioning

confidence: 99%

“…Although this scheme can track the required values of gains very accurately, it requires the knowledge of the bound of the derivative of the uncertainty. More recently, a scalar adaptive‐gain STW control law was proposed in the work of Edwards and Shtessel, whereby the gains are as small as possible to mitigate chattering effects, but large enough to ensure that sliding can be maintained in the presence of unknown bounded and derivative bounded uncertainties. It is well known that, for the system whose relative degree is more than one, the conventional STW sliding mode controller usually cannot realize the finite‐time convergence of tracking error .…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, considering the requirement of minimum actuator energy cost, the research on adaptive-gain STW (ASTW) SCM has been undertaken, whereby the control gains attempt to adapt to a level where they are as small as possible and yet guarantee sliding is maintained. 31 To achieve nonoverestimating values of the control gain, an ASTW sliding mode controller was proposed in the works of Shtessel et al 32 and Dong et al 33 However, none of the aforementioned algorithms resulted in the minimum possible value of control. Utkin and Poznyak 34 develop an adaptive scheme to search the minimum possible value of control based on evaluations of the equivalent control.…”

mentioning

confidence: 99%

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Adaptive multivariable finite‐time continuous fault‐tolerant control of rigid spacecraft

Zhao

Zong

Tian

et al. 2019

Intl J Robust & Nonlinear

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Summary The problem of fault‐tolerant attitude tracking control for rigid spacecraft in the presence of inertia uncertainties, actuator faults, and external disturbances is investigated in this paper. A novel adaptive finite‐time continuous fault‐tolerant control strategy is developed by combining the fast nonsingular terminal sliding mode surface and the adaptive multivariable super‐twisting algorithm, which improves the robustness while preserving high accuracy and finite‐time convergence. The main features of the control strategy are the double‐layer adaptive algorithm based on equivalent control, which ensures nonoverestimation of the control gain and the continuous controller, which maintains better property of chattering reduction. Finally, the efficiency of the proposed controller is illustrated by numerical simulations.

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“…Note that, during the sliding motion σ ( t )= v ( t )= 0 (which is identical to the condition

bold-italicσ false(t false) = \overset{bold-italicσ}{true} false(t false) = bold0

), the equivalent control ξ eq ( t ) must satisfy ξ eq ( t )= φ ( t ). A close approximation

{\overset{bold-italicξ}{true}}_{bold-italiceq} false(t false)

can be obtained in real time by low‐pass filtering of the switching signal ξ ( t ), which is available for use in the adaption schemes …”

Section: Resultsmentioning

confidence: 99%

Section: Adaptive-gain Multivariable Super-twisting Smcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Adaptive multivariable finite‐time continuous fault‐tolerant control of rigid spacecraft

Zhao

Zong

Tian

et al. 2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…For details, see the work of Nagesh and Edwards. 52 If the bounds on the uncertainty exist but are not known, it is also possible to incorporate an adaptive super-twisting structure 54,55 to replace the structure in Equation 29.…”

Section: Assumptionmentioning

confidence: 99%

Development and evaluation of an integral sliding mode fault‐tolerant control scheme on the RECONFIGURE benchmark

Chen

Alwi

Edwards

2017

Intl J Robust & Nonlinear

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Summary This paper describes the development, application, and evaluation of a linear parameter‐varying integral sliding mode control allocation scheme to the Reconfiguration of Control in Flight for Integral Global Upset Recovery benchmark model to deal with an actuator failure/fault scenario. The proposed scheme has the capability to maintain close to nominal (fault free) load factor control performance in the face of elevator failures/faults by including a retrofitted integral sliding mode term and then rerouting (via control allocation) the augmented control signal to healthy elevators without reconfiguring the baseline controller. In order to mitigate any chattering appearing in the elevator demands, the retrofitted signal is based on a super‐twisting sliding mode structure. This produces a control signal that is continuous and does not have the discontinuous switching nature of traditional sliding mode schemes. The scheme is evaluated using an industrial Functional Engineering Simulator developed as part of the Reconfiguration of Control in Flight for Integral Global Upset Recovery project. Monte Carlo campaign results are shown to demonstrate the performance of the proposed scheme.

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Adaptive finite‐time control for high‐order nonlinear systems with mismatched disturbances

Yang

Wang

Yang

2017

Adaptive Control & Signal

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In this paper, adaptive finite-time control is addressed for a class of high-order nonlinear systems with mismatched disturbances. An adaptive finite-time controller is designed in which variable gains are adjusted to ensure finite-time stabilization for the closed-loop system. Chattering is reduced by a designed adaptive sliding mode observer which is also used to deal with the mismatched disturbances in finite time. The proposed adaptive finite-time control method avoids calculating derivative repeatedly of traditional backstepping methods and reduces computational burden effectively. Three numerical examples are given to illustrate the effectiveness of the proposed method. KEYWORDS adaptive control, finite-time control, high-order nonlinear systems, mismatched disturbances, sliding mode observers 1 1296

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Adaptive continuous higher order sliding mode control

Cited by 330 publications

References 14 publications

Adaptive multivariable finite‐time continuous fault‐tolerant control of rigid spacecraft

Adaptive multivariable finite‐time continuous fault‐tolerant control of rigid spacecraft

Development and evaluation of an integral sliding mode fault‐tolerant control scheme on the RECONFIGURE benchmark

Adaptive finite‐time control for high‐order nonlinear systems with mismatched disturbances

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