2016
DOI: 10.1002/acs.2705
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From adaptive control to variable structure systems – seeking harmony

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Cited by 7 publications
(5 citation statements)
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“…Proof. The first step of the proof is to demonstrate that when using the control law (12) with modulation function (14), the sliding variable reaches the region |𝜎| ≤ 𝜖∕r 2 with the guarantee that the specifications of the settling time and maximum overshoot are not violated. Consider the following Lyapunov-like candidate function for (2)…”
Section: Stability Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…Proof. The first step of the proof is to demonstrate that when using the control law (12) with modulation function (14), the sliding variable reaches the region |𝜎| ≤ 𝜖∕r 2 with the guarantee that the specifications of the settling time and maximum overshoot are not violated. Consider the following Lyapunov-like candidate function for (2)…”
Section: Stability Analysismentioning
confidence: 99%
“…On the application side, research on modern vehicle engineering has focused on the design of energy storage devices in electric and hybrid vehicles 11,12 . Also, anti‐lock braking system (ABS) can be designed taking advantage of the sensors embedded in the new cars 13 with robust and adaptive control strategies 14‐16 . In this context, our adaptive scheme seems appropriate to be applied to an ABS ensuring that the slip coefficient corresponding to the maximum coefficient of friction between the tire and road is quickly achieved during the braking process of the car.…”
Section: Introductionmentioning
confidence: 99%
“…However, the gain selections in above guidance laws are in dependence of artificial experience or accurate state information. Therefore, a way to adjust the gain with dynamical adaptation is needed [16]- [18].…”
Section: Introductionmentioning
confidence: 99%
“…A way to adjust the gain in controller is thanks to a dynamical adaptation idea, the concept related to gain-adaptive strategy attracted attention for the gain magnitude is adjusted with respect to error variations. 1416 A global differentiator with dynamic gains has been presented in Oliveira et al. 17 to solve the problem of trajectory tracking with arbitrary relative degree and disturbances.…”
Section: Introductionmentioning
confidence: 99%
“…A way to adjust the gain in controller is thanks to a dynamical adaptation idea, the concept related to gain-adaptive strategy attracted attention for the gain magnitude is adjusted with respect to error variations. [14][15][16] A global differentiator with dynamic gains has been presented in Oliveira et al 17 to solve the problem of trajectory tracking with arbitrary relative degree and disturbances. In order to decrease chattering and develop the controller design, an adaptivegain second order sliding mode control is proposed in Plestan et al 18 The control performance of this strategy is demonstrated in application of the electropneumatic actuator.…”
Section: Introductionmentioning
confidence: 99%