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Extended state observer-based robust non-linear integral dynamic surface control for triaxial MEMS gyroscope

Published online by Cambridge University Press:  09 November 2018

Mehran Hosseini-Pishrobat Open the ORCID record for Mehran Hosseini-Pishrobat [Opens in a new window]  and
Jafar Keighobadi
Mehran Hosseini-Pishrobat
Affiliation:
Faculty of Mechanical Engineering, University of Tabriz, 29 Bahman, Tabriz P.C. 5166614766, Iran. E-mail: m.hoseini92@ms.tabrizu.ac.ir
Jafar Keighobadi*
Affiliation:
Faculty of Mechanical Engineering, University of Tabriz, 29 Bahman, Tabriz P.C. 5166614766, Iran. E-mail: m.hoseini92@ms.tabrizu.ac.ir
*
*Corresponding author. E-mail: Keighobadi@tabrizu.ac.ir
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Summary

This paper reports an extended state observer (ESO)-based robust dynamic surface control (DSC) method for triaxial MEMS gyroscope applications. An ESO with non-linear gain function is designed to estimate both velocity and disturbance vectors of the gyroscope dynamics via measured position signals. Using the sector-bounded property of the non-linear gain function, the design of an $\mathcal{L}_2$-robust ESO is phrased as a convex optimization problem in terms of linear matrix inequalities (LMIs). Next, by using the estimated velocity and disturbance, a certainty equivalence tracking controller is designed based on DSC. To achieve an improved robustness and to remove static steady-state tracking errors, new non-linear integral error surfaces are incorporated into the DSC. Based on the energy-to-peak ($\mathcal{L}_2$-$\mathcal{L}_\infty$) performance criterion, a finite number of LMIs are derived to obtain the DSC gains. In order to prevent amplification of the measurement noise in the DSC error dynamics, a multi-objective convex optimization problem, which guarantees a prescribed $\mathcal{L}_2$-$\mathcal{L}_\infty$ performance bound, is considered. Finally, the efficacy of the proposed control method is illustrated by detailed software simulations.

Keywords

Triaxial MEMS gyroscopeDynamics surface controlExtended state observerLinear matrix inequality
Type
Articles
Information
Robotica , Volume 37 , Issue 3 , March 2019 , pp. 481 - 501
Copyright
Copyright © Cambridge University Press 2018 

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