On the implementation of adaptive sliding mode robust controller in the stabilization of electrically actuated micro-tun
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TECHNICAL PAPER
On the implementation of adaptive sliding mode robust controller in the stabilization of electrically actuated micro-tunable capacitor Hamed Mobki1 • Amin Majidzadeh Sabegh2 • Aydin Azizi1 • Hassen M. Ouakad3 Received: 3 May 2020 / Accepted: 12 May 2020 Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Parallel-plates based micro-tunable capacitors are known to have low travel ranges, which deteriorate as going even lower in terms of their initials gap sizes. Such conditions have put strict requirements on the operation of such designs and hence hindering their use in numerous practical applications requiring high tunability. This work is proposed to examine the possibility to implement a closed-loop control strategy to increase the maximum capacitance and therefore tunability of micro tunable capacitors. The suggested control strategy is implemented on an electrostatically actuated parallel-plates (one stationary and one movable) based micro-capacitor and had an objective to stabilize the movable electrode when it is close to the fixed one for the sake of maximizing its maximum capacitance and possibly improving its overall tunability. Robustness of the micro-capacitor to the so-called pull-in phenomenon (short-circuit instability) when using the closed loop control scheme is studied. Indeed, an adaptive sliding mode controller is designed to compensate the effects of uncertainty, disturbance and eliminate any possibility for chattering phenomenon. The controller proficiencies in terms of stabilizing the micro-capacitor and its robustness to uncertainty as well as disturbance have been thoroughly examined. Furthermore, the effects of the control parameters on the behavior of micro-capacitor, such as overshoot, settling time, steady state error, robustness to uncertainty, external disturbances and to the chattering phenomenon, have been completely inspected. The obtained results indicated satisfactory proficiency and trustworthiness of the proposed control strategy to achieve high level of tunability and maximum capacitance.
1 Introduction Micro-tunable capacitors are miniature micro-sized structures that find various applications ranging from wireless systems to even high frequency-based circuits. They have attracted the attention of several researchers resulting into the publication of a significant research work (Khan et al. 2019; Dai and Li 2018; Galisultanov et al. 2018; Gong et al. 2018; Teymoori and Ahangarkolaei 2016) mainly devoted into considering these tiny structures in the design of numerous devices such as voltage control micro-oscillators (Jamil et al. 2007; Jin et al. 2014), micro-filters & Hassen M. Ouakad [email protected] 1
German University of Technology, Halban, Oman
2
Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran
3
Mechanical and Industrial Engineering Department, Sultan Qaboos University, PO-Box 33, 123 Al-Khoudh, Muscat, Oman
(Ouakad and Younis 2014; Ouakad 2013; Vi
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