Application of dc Servomotor on Airflow Measurement

The aim of this research paper is to systematically present an optimal control of a dc servomotor for the airflow measurement in both the magnitude and the direction. During measuring airflow, the dc servomotor drives a paddle around the rotor axis in a field. The torsional load of the dc servomotor is caused from resistance of the airflow over the moving paddle normal to the flow. The variations on the torsional load in one revolution of rotation can be characterized from the magnitude and direction of the airflow. In other words, the magnitude and direction of airflow cause a periodic function of the torsional load with respect to the angular position of the paddle. By using Fourier analysis, it is found that the magnitude and direction of the airflow can be determined from the coefficients of the Fourier series. Typically, the torsional load of the dc servomotor, unlike the rotor speed, cannot be measured by the built-in device. In this work, it is determined by applying the extended Luenberger observer method. A state-feedback controller with the observer based on H2 control design is implemented to regulate the dc servomotor. The experimental results on the measurement of airflow show the viability of the proposed methodology.

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Optimal Control Design of a Bimorph Optical Beam Deflector

Volume 6A: 18th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc2001/vib-21421 ◽

2001 ◽

Author(s):

Chang-Po Chao ◽

Jeng-Sheng Huang ◽

Ching-Lung Ou Yung ◽

Rong-Fong Fung

Keyword(s):

Optimal Control ◽

Position Control ◽

Angular Position ◽

Control Design ◽

Element Model ◽

Optical Beam ◽

Optimal Feedback Control ◽

Central Position ◽

Control Effort ◽

And Control

Abstract The optical beam deflector is composed of two piezoelectric layers, one sandwiched brass layer in the middle with both ends clamped and a mirror attached to the upper surface of the top piezoelectric layer in the central position. This structure is designed to deflect the mirror to a certain angular position by applying external voltage supply to piezo-layers. This study proposes an optimal angular position control scheme of the attached mirror. The governing partial differential equations are first derived for the ensuing analysis and control design, which is followed by the establishment of finite element model in ten nodes specified at some longitudinal points of the optical beam deflector. In order to achieve a faster convergent rate for the deflector to reach the desired angular position, the optimal control of LQ regulator with final states fixed is employed to explore the possibility of shorter transient response and less cost of control effort and states. The optimal feedback control is obtained based on solving a dynamic Riccati equation backward in time. The numerical simulation results are finally provided to validate the theoretical control design.

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Vibration Control of the Elastodynamic Response of High-Speed Flexible Linkage Mechanisms

Journal of Vibration and Acoustics ◽

10.1115/1.2930148 ◽

1991 ◽

Vol 113 (1) ◽

pp. 14-21 ◽

Cited By ~ 38

Author(s):

C. K. Sung ◽

Y. C. Chen

Keyword(s):

Optimal Control ◽

High Speed ◽

State Feedback ◽

Control Law ◽

Luenberger Observer ◽

Control Scheme ◽

Feedback Optimal Control ◽

Optimal Control Scheme ◽

Observation Spillover ◽

Flexible Linkage

A methodology for suppressing the elastodynamic responses of high-speed flexible linkage mechanisms by employing a state feedback optimal control scheme is proposed. This permits the mechanisms to be subjected to controlled dynamic inputs generated by several pairs of suitably-selected piezoelectric ceramics while additional piezoceramics are utilized as sensing devices. This optimal control scheme includes a feedback control law and a Luenberger observer. The instabilities caused by the combined effect of control and observation spillover are investigated and carefully prevented. Finally, numerical simulation is performed to evaluate the improvement of the elastodynamic responses.

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Position Control of a Three Degree of Freedom Gyroscope using Optimal Control

10.20944/preprints202008.0097.v1 ◽

2020 ◽

Author(s):

Mustefa Jibril ◽

Messay Tadese ◽

Nuriye Hassen

Keyword(s):

Optimal Control ◽

State Feedback ◽

Position Control ◽

Angular Position ◽

Linear Quadratic ◽

The Third ◽

Quadratic Integral ◽

Three Degree Of Freedom ◽

Input Torque ◽

Feedback Regulator

In this paper, a 3 DOF gyrscope position control have been designed and controlled using optimal control theory. An input torque has been given to the first axis and the angular position of the second axis have been analyzed while the third axis are kept free from rotation. The system mathematical model is controllable and observable. Linear Quadratic Integral (LQI) and Linear Quadratic State Feedback Regulator (LQRY) controllers have been used to improve the performance of the system. Comparison of the system with the proposed controllers for tracking a desired step and random angular position have been done using Matlab/Simulink Toolbox and a promising results has been analyzed.

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