Sliding mode control of a simulated MEMS gyroscope

Batur, C.; Sreeramreddy, T.; Khasawneh, Qais A.

doi:10.1109/acc.2005.1470630

Cited by 39 publications

(44 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Remark 4 Compared with the conventional backstepping controller, the control law (10), (15), (16), (24), and (30) are much simpler because there is no need to differentiate nonlinear terms of the system model.…”

Section: System Model Descriptionsmentioning

confidence: 99%

“…Theorem 1 For the nonlinear vibrating MEMS gyroscope with the external disturbances and the uncertain parameters described by (3), when the robust adaptive dynamic surface control laws (16), (30), the stabilizing functions (10), (15) and (24), the parameter adaptive laws (17) and (18) and (31) and (32) are applied to the gyroscope's tracking problems, the surface errors satisfy the H ∞ disturbances attenuation performance if any positive constant δ for any initial condition satisfies V < δ.…”

Section: System Model Descriptionsmentioning

confidence: 99%

“…However, the estimate of the rotation rate will depend on the gain and mass parameters of the gyro, and the input frequency, thus some calibration is required. A sliding mode controller has been proposed to estimate the unknown angular velocity and control the motion of the proof mass in [16]. Though some uncertainties are considered, the uncertainties are required to be bounded, and the cross coupling term C xy is also neglected.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Adaptive tracking control of an MEMS gyroscope with H-infinity performance

Liu

2011

J. Control Theory Appl.

View full text Add to dashboard Cite

Microelectromechanical systems (MEMSs) pose unique measurement and control problems compared with conventional ones because of their small size, low cost, and low power consumption. The vibrating gyroscope is one of those MEMS devices that have significant potential in many industry applications. When the MEMS gyroscope system is considered simultaneously with the coupling terms, the exogenous disturbances and the parameter variations, the controller design of this system becomes very challenging. This paper investigates the primary control problem of a perturbed vibrating MEMS gyroscope. A nonlinear robust adaptive control scheme is proposed for the drive axis of a vibrating MEMS gyroscope. By combining the dynamic surface control (DSC) method with the H-infinity disturbance attenuation technique, a simpler systematic design procedure is developed. The derived H-infinity controller has a simplified structure, and it can drive the drive axis to resonance, regulate the output amplitude of the drive axis to a desired value, and attenuate the generalized disturbances. The features of the derived controller are discussed and illustrated by the simulation of a closed-loop system. The analysis and simulation show that the obtained controller possesses good adaptability and robustness to system uncertainties.

show abstract

Section: System Model Descriptionsmentioning

confidence: 99%

Section: System Model Descriptionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive tracking control of an MEMS gyroscope with H-infinity performance

Liu

2011

J. Control Theory Appl.

View full text Add to dashboard Cite

show abstract

“…MEMS gyroscopes have many benefits such as low cost, small size, and negligible weight compared to conventional mechanical gyroscopes [1][2][3]. Furthermore, they have a wide range of applications including navigation and guidance systems, automobiles, and consumer electronics, which has lead many researchers to focus on them over the last few decades.…”

Section: Introductionmentioning

confidence: 99%

“…Fei and Batur [2,3] derived an adaptive sliding mode control for MEMS gyroscope to identify its angular velocity. Batur et al [1] developed a sliding mode control for a MEMS gyroscope system combined with a force balancing control strategy to identify angular velocity. Leland [4] presented an adaptive controller for tuning the natural frequency of the drive axis of a vibratory gyroscope.…”

Section: Introductionmentioning

confidence: 99%

A modified model reference adaptive control with application to MEMS gyroscope

Zareh

Soheili

2011

J Mech Sci Technol

View full text Add to dashboard Cite

Micro electro-mechanical systems (MEMS) are increasingly being used in measurement and control problems due to their small size, low cost, and low power consumption. The vibrating gyroscope is a MEMS device that will have a significant impact on stability control systems in the transportation industry. This paper investigates the application of a modified model reference adaptive control for MEMS gyroscope. Using this adaptive control algorithm, an estimation of the angular velocity and the damping and stiffness coefficients in real time is easily computable. Changing the conventional model reference input makes it feasible to utilize a low pass filter to remove unwanted oscillations caused by high adaptation gain. This new adaptive control technique enables quick compensation for large changes in the system dynamics, providing consistent estimation of gyroscope parameters including angular velocity and large robustness to parameter variations and external disturbances. The asymptotic stability of the mentioned adaptive controller is guaranteed using the Lyapunov direct method. Numerical simulation is presented to verify the effectiveness of the proposed control scheme.

show abstract

Adaptive nonsingular terminal sliding mode control of MEMS gyroscope based on backstepping design

Fei

Yan

Yang

2014

Adaptive Control & Signal

View full text Add to dashboard Cite

An adaptive nonsingular terminal sliding mode (NTSM) tracking control scheme based on backstepping design is presented for micro-electro-mechanical systems (MEMS) vibratory gyroscopes in this paper. The NTSM controller is designed based on backstepping strategy to eliminate the singularity, while ensuring the control system to reach the sliding surface and converge to equilibrium point in a finite period of time from any initial state. In addition, the proposed approach develops an online identifier scheme, which can real-time estimate the angular velocity and the damping and stiffness coefficients. All adaptive laws in the control system are derived in the same Lyapunov framework, which can guarantee the globally asymptotical stability of the closed-loop system. Numerical simulations for a MEMS gyroscope are investigated to demonstrate the validity of the proposed control approaches.

show abstract

Sliding mode control of a simulated MEMS gyroscope

Cited by 39 publications

References 11 publications

Adaptive tracking control of an MEMS gyroscope with H-infinity performance

Adaptive tracking control of an MEMS gyroscope with H-infinity performance

A modified model reference adaptive control with application to MEMS gyroscope

Adaptive nonsingular terminal sliding mode control of MEMS gyroscope based on backstepping design

Contact Info

Product

Resources

About