2021
DOI: 10.30684/etj.v39i2a.1826
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Integral Sliding Mode Control Based on Barrier Function for Servo Actuator with Friction

Abstract: This paper proposes the use of the integral sliding mode control (ISMC) based on the barrier function to control the servo actuator system with friction.  Based on the barrier function, the main features of the ISMC design were preserved, additionally, the proposed control design is done without the need to know the bound on the system model uncertainty, accordingly, the overestimation of the control gain doesn’t take place and the chattering is eliminated. Moreover, the steady-state error can be adjusted via … Show more

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Cited by 11 publications
(13 citation statements)
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“…For both possible FOSMC gains designs, the following theorem holds: 𝑘 𝐵 (𝑠(𝑡)) = 𝑘 𝑃𝐵𝐹 (𝑠(𝑡)) and 𝑘 𝐵 (𝑠(𝑡)) = 𝑘 𝑃𝑆𝐵𝐹 (𝑠(𝑡)) are the same things [26], [27]. Theorem.…”
Section: Adaptive First-order Smc (Fosmc) With Barrier Functionmentioning
confidence: 99%
“…For both possible FOSMC gains designs, the following theorem holds: 𝑘 𝐵 (𝑠(𝑡)) = 𝑘 𝑃𝐵𝐹 (𝑠(𝑡)) and 𝑘 𝐵 (𝑠(𝑡)) = 𝑘 𝑃𝑆𝐵𝐹 (𝑠(𝑡)) are the same things [26], [27]. Theorem.…”
Section: Adaptive First-order Smc (Fosmc) With Barrier Functionmentioning
confidence: 99%
“…This section discusses the design methodology and implementation of ISMC based on barrier function [37,38] for angular tracking and vibration control of FJRs. The controller's design methodology involves dividing Eq.…”
Section: Controller Designmentioning
confidence: 99%
“…The problem with the robustness of the conventional SMC is that it is not guaranteed during the reaching phase, although the parametric variations and external disturbances during the sliding mode alone can be achieved. However, this problem is addressed via the proposed controller in this research, which is ISMC based on the barrier function approach previously proposed in the researches of Abd and Al-Samarraie [38] and Mohammadridha and Al-Samarraie [40]. This controller was able to eliminate the reaching phase and all parameter uncertainties from the first instant to ensure robustness from the beginning of a process.…”
Section: Ismc Design Based On Barrier Functionmentioning
confidence: 99%
“…In this work, ISMC based on barrier function (ISMCbf) is designed for the first time to control HR during treadmill exercise. Barrier function based SMC and ISMC was successfully applied in several applications and proved its efficiency [17][18][19]. The main contributions of this work are: 1.…”
Section: Introductionmentioning
confidence: 99%