For an optical tracking system, due to the limited sampling rate and time delays in the image-based tracking loop, control bandwidth is usually restricted. An optimized controller based on Youla–Kucera parameterization is proposed to improve both vibration rejection and target tracking performance. This optimized controller combined the position error signal and the control output to compensate for the original feedback loop. The performance in low frequency was enhanced using an optimized Q31-filter, although the close-loop bandwidth of the tip-tilt mirror was not improved. The stability and robustness of this control configuration were analyzed by gain margin and phase margin of the open-loop transfer function. Because of relying on a simple and low-frequency model of the tip-tilt mirror control system, this new controller did not lead to a compromise between vibration rejection and noise propagation in the loop. Simulations and experiments were used to testify to the effectiveness of the new controller.
For an image-based tracking loop system of tip-tilt mirror, the traditional control methodologies mainly include a single-position loop or two-position loop. The most effective method for enhancing tracking performance is to increase control gain for a high bandwidth. However, the image sensor sampling rate and time delay engendered by data processing restricts the bandwidth. Therefore, a position-rate control method is proposed to improve the performance of a tip-tilt mirror control system. The angular rate of tip-tilt mirror is calculated from the angular position measured by the linear encoder. The open-loop rate transfer function of tip-tilt mirror features differential in the low-frequency domain because the original tip-tilt control system is zero-type. When the inner rate feedback loop is implemented, an integrator is introduced into the original position loop. A PI (proportional-integral) controller can stabilize the position loop such that two integrators are in the tracking loop, so the low-frequency performance can be improved compared to the original control method. The experimental results coincide with the theoretical analysis and then verify the correctness of the presented theories.
Structural vibrations usually feature tip–tilt modes and affect the closed-loop performance of the tip–tilt mirror control system in astronomical telescopes. Long integration time of the image sensor always restricts the closed-loop control bandwidth, resulting in difficulties in rejecting structural vibrations. An error-based plug-in controller to mitigate multimodal structural vibrations is proposed. Only position error is used in this proposed controller, which can be plugged into existing feedback loops to create high gain at the frequencies of multimodal disturbances, and thereby the closed-loop performance can be optimized by designing an appropriate Q-filter. When the centered frequencies of energetic disturbances are determined, a band-pass filter is suggested to mitigate multimodal vibrations. This improved band-pass filter can avoid big amplifications at other frequencies. Due to not being restricted by an accurate model, the plug-in controller does not lead to a compromise between vibration rejection and control stability. Both simulation and experiment validate the effectiveness of the proposed method in the tip–tilt mirror control system under the condition of vibrations.
KEYWORDS: Control systems, Sensors, Mirrors, Charge-coupled devices, Line of sight stabilization, Signal attenuation, Gyroscopes, Optical engineering, Feedback control, CCD cameras
In the charge-coupled device (CCD)-based tracking control system of fast steering mirrors (FSMs), high control bandwidth is the most effective method to enhance closed-loop performance, which, however, usually suffers a great deal from time delay induced by a low CCD sampling rate. Moreover, mechanical resonances also limit high control bandwidth. Therefore, a tentative approach to implementing a CCD-based tracking control system for an FSM with inertial sensor-based cascade feedback is proposed, which is made up of acceleration feedback, velocity feedback, and position feedback. Accelerometers and gyroscopes are all the inertial sensors, sensing vibrations induced by platforms, in turn, which can contribute to disturbance supersession. In theory, the acceleration open-loop frequency response of the FSM includes a quadratic differential, and it is very difficult to compensate a quadratic differential with a double-integral algorithm. A lag controller is used to solve this problem and accomplish acceleration closed-loop control. The disturbance suppression of the proposed method is the product of the error attenuation of the acceleration loop, the velocity loop, and the position loop. Extensive experimental results show that the improved control mode can effectively enhance the error attenuation performance of the line of sight (LOS) for the CCD-based tracking control system.
A feedforward control based on data fusion is proposed to enhance closed-loop performance. The target trajectory as the observed value of a Kalman filter is recovered by synthesizing line-of-sight error and angular position from the encoder. A Kalman filter based on a Singer acceleration model is employed to estimate the target velocity. In this control scheme, the control stability is influenced by the bandwidth of the Kalman filter and time misalignment. The transfer function of the Kalman filter in the frequency domain is built for analyzing the closed loop stability, which shows that the Kalman filter is the major factor that affects the control stability. The feedforward control proposed here is verified through simulations and experiments.
KEYWORDS: Telescopes, Control systems, Space telescopes, Complex systems, Optical instrument design, Computer programming, Error analysis, Servomechanisms, Actuators, Process control
In this paper, an improved Active Disturbance Rejection control (ADRC) method is proposed to enhance the tracking precision of telescope if the telescope runs in a low velocity. Low velocity telescope system usually suffers some obvious nonlinear disturbances, such as nonlinear friction and unknown external disturbance. Thereby, to ensure the tracking precision, multiple loops control structure is a common control method in telescope system, which includes current loop, velocity loop and position loop. The proposed control method is used in the velocity loop which consists of a PD controller and an Extend State Observer (ESO). The ESO is designed to estimate the disturbance involved in the telescope system. Besides, the PD controller is designed to stabilize the closed-loop system. Furthermore, this control method theoretically guarantees a prescribed tracking performance and final tracking accuracy. Finally, the experiment results show that the proposed control method has excellent performance for reducing the tracking error of low velocity.
KEYWORDS: Control systems, Control systems design, Error analysis, Signal processing, Performance modeling, Servomechanisms, Detection and tracking algorithms, Systems modeling, Optical testing, Computer programming
According to the larger error when reversing in photoelectric tracking control system, the improved cascade Active Disturbance Rejection Controller (ADRC) is put forward to improve the system position tracking performance and tracking precision. First of all, this essay analyses the controlled object model and system control strategy; Then, it gives design method of the improved cascade ADRC; Finally, in order to analyses the improved cascade’s better control performance, in the condition of the same input signal ,the improved cascade ADRC, conventional ADRC-ADRC and traditional PI-PI controller are used in photoelectric tracking control system to do comparative experiment. The experiment results show that the improved cascade ADRC's performance is better than other two algorithms, the tracking error and the steady state mean square error are significantly reduced, tracking accuracy is significantly improved. The improved cascade ADRC is an appealing solution in dealing with industrial control system problems where uncertainties and interference abound.
Double fast steering mirror (FSM) are made of a fast steering mirror driven by piezoelectric actuator and a fast steering mirror by voice coin motor, which provides not only high control bandwidth and high resolution but also a wide range of angle for the tracking control system. A classical control system of double fast steering mirror is that each CCD sensor provides line of sight error to control relevant FSM respectively, resulting in complexity and weakening optical energy. The proposed system works by depending on single CCD sensor, which implies that it is crucial to decouple the control double fast steering mirror .An unload technique is designed to solve this problem .The FSM driven by piezoelectric actuator is driven using line of sight from CCD, while the other FSM is followed it. Error attenuation transfer function is modeled and used to analyze stabilization and performance of the control system, which is optimal only if the control bandwidth of FSM driven by piezoelectric actuator is ten times more than that of the FSM driven by the voice coin motor. The experimental results are in great accordance with theoretical analysis.
Two-motor application has become a very attractive filed in important field which high performance is permitted to
achieve of position, speed, and acceleration. In the elevation axis of telescope control system, two-motor direct drive is
proposed to enhance the high performance of tracking control system. Although there are several dominant strengths
such as low size of motors and high torsional structural dynamics, the synchronization control of two motors is a very
difficult and important. In this paper, a multi-loop control technique base master-slave current control is used to
synchronize two motors, including current control loop, speed control loop and position control loop. First, the direct
drive function of two motors is modeled. Compared of single motor direct control system, the resonance frequency of
two motor control systems is same; while the anti-resonance frequency of two motors control system is 1.414 times than
those of sing motor system. Because of rigid coupling for direct drive, the speed of two motor of the system is same, and
the synchronization of torque for motors is critical. The current master-slave control technique is effective to synchronize
the torque, which the current loop of the master motors is tracked the other slave motor. The speed feedback into the
input of current loop of the master motors. The experiments test the performance of the two motors drive system. The
random tracking error is 0.0119" for the line trajectory of 0.01°/s.
The Matlab/Simulink simulation model of APT (acquisition, pointing and tracking) system is analyzed and established.
Then the model’s C code which can be used for real-time simulation is generated by RTW (Real-Time Workshop).
Practical experiments show, the simulation result of running the C code is the same as running the Simulink model
directly in the Matlab environment. MultiGen-Vega is a real-time 3D scene simulation software system. With it and
OpenGL, the APT scene simulation platform is developed and used to render and display the virtual scenes of the APT
system. To add some necessary graphics effects to the virtual scenes real-time, GLSL (OpenGL Shading Language)
shaders are used based on programmable GPU. By calling the C code, the scene simulation platform can adjust the
system parameters on-line and get APT system’s real-time simulation data to drive the scenes. Practical application
shows that this visual simulation platform has high efficiency, low charge and good simulation effect.
KEYWORDS: Mirrors, Control systems, Signal attenuation, Charge-coupled devices, CCD cameras, Control systems design, Phase modulation, Optical engineering, Optical tracking, Germanium
We propose a simple PID (proportional integral differential)-I controller to improve the performance of a CCD-based (charge coupled device) control system for fast steering mirror, which consists of adding an integrator in series to a PID controller, resulting in two integrators in the control loop. The conditions for implementing the PID-I controller into the control system of the fast steering mirror are presented mainly in terms of the closed-loop stability and error attenuation. A model of CCD-based control loop is made to analyze the characteristics of the control loop. Although the error attenuation bandwidth with PID-I controller is a little smaller than that with an integral controller, the error attenuation at low frequency is greatly enhanced. The experimental results are in accordance with the theoretical analysis.
In many control systems, the most effective method to improve the performance of the closed-loop system is by enhancing the gain of the control system, which results in a wide control bandwidth. However, in the control system of a charge-coupled-device-based tracking loop for a fast steering mirror, the bandwidth of the closed loop is greatly limited by the large time delay of the TV tracker. Additionally, the time delay leads to instability of the system when the closed-loop system has high gain. We propose a new feedforward control to compensate some errors related to the time delay of the tracker, meanwhile improving the performance of the closed-loop fast steering mirror system. The control structure we propose includes two closed loops; a tracking loop and a fast position loop. The fast position loop is produced using an eddy current sensor, and the tracking loop is the outer loop, enveloping the fast position loop. The feedforward signal is estimated from the signal of the eddy current sensor and the TV tracker, which is added to the input of the fast position loop. Experimental results show that our proposed feedforward system can effectively enhance trajectory tracking and pointing performance.
The control system stability is very important to be taken into account whether in fast tracking control systems or in slow
tracking control systems. In particular, position tracking error becomes a great rush as long as the velocity is approximate
to zero, or when the gimbals reverse into another direction. This is mainly because the friction torque causes the control
system instability. Particularly in the only speed tracking system, it is very clear that the system oscillates back and forth
until the velocity turns into a great value. By Lyapunov stability theory, the closed-loop system with only the velocity
feedback proves to be unstable in low velocity tracking control. The acceleration is directly equivalent to torque, so a
control algorithm base acceleration feedback control is proposed and introduced into the regular feedback system to
eliminate the effects of low velocity friction, which includes velocity loop and tracking loop. The angular acceleration of
the gimbals is computed from high precision accelerometers, while the velocity is filtered from the high-precision
encoder. Experiments show that the proposed method with acceleration feedback loop eliminates the low velocity
friction for stability and achieves high-precision tracking control performances.
In the control system of a CCD-based tracking loop for a fast steering mirror (FSM), the most effective method often employed to improve pointing performance is to increase high gain of the control system for a high bandwidth, which, however, usually suffers a great deal from a low CCD sampling rate and the mechanics of the FSM. Moreover, the amount of time delay engendered by sampling and data processing can significantly reduce the performance of a closed-loop system. Therefore, a tentative approach to the implementation of a CCD-based tracking control system with acceleration feedback is proposed. In theory, the position open loop is made of double integrators with a high bandwidth of the acceleration feedback loop; in fact, however, the acceleration open loop of the FSM response includes a quadratic differential, and it is very difficult to compensate a quadratic differential with an integral algorithm. To solve this problem, a novel acceleration closed system such as a bandpass filter is proposed. The position is reconstructed into a simple first-order filter instead of a third-order control system. In addition experimental results show that the acceleration feedback proposed here can effectively enhance the bandwidth of the closed-loop system and its trajectory tracking and pointing performance.
The horizontal or X-Y tracking gimbal of photoelectric system has spatial blind region because of themselves framework limit, In order to solve the problem of blind region and also track object with high-precision and speediness, a new three-axis photoelectric theodolite system with collimation axis eccentricity is brought forward, It can achieve large-scale space tracking by means of mutual conversion of tracking modes.
There is dynamics and inertia coupling in the three-axis photoelectric tracking system, the kind of coupling will directly affect the static state, dynamic state characteristics and indeed system stability. To get high performance photoelectric tracking system, dynamics coupling must be took into account in three-axis photoelectric tracking system. The matrix transformation of angle velocity and moment can be derived from the reference frame relation of three-axis photoelectric tracking system with collimation axis eccentricity; the kinematics property is analyzed by momentum theorem and angular momentum theorem. Through the analysis of inertia coupling in axes, their object differential equation is gained. In the last, the system nonlinear coupling dynamics model is built using multi-body system theory and Lagrange-Eula equation. From the analysis of dynamic equation, it is evident that the photoelectric tracking system with three input and three output contain complicated nonlinear coupling factor, the study of decoupling control must be carried through in order to get high-precision control system. By importing the geometry coordinate transformation, dynamic compensation and nonlinear state feedback, the nonlinear factor can get accurate elimination on base of the system reversibility of input and output, the three-axis photoelectric tracking system control differential equation can be got nonlinear decoupling by static state feedback, several variable photoelectric tracking system turn into three respective self-governed singularity input and output control system to achieve state or output tracking control.
The coupling and decoupling control system is respectively simulated using MATLAB's simulink toolbox. Simulation results have proved that the decoupling control method proposed and the decoupling controller designed for system are effective.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.