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Research Papers

Robust-Optimal Fuzzy Model-Based Control of Flexible Spacecraft With Actuator Constraint

[+] Author and Article Information
Chokri Sendi

Department of Mechanical Engineering,
Santa Clara University,
Santa Clara, CA 95053
e-mail: csendi@scu.edu

Mohammad A. Ayoubi

Associate Professor
Department of Mechanical Engineering,
Santa Clara University,
Santa Clara, CA 95053
e-mail: maayoubi@scu.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 1, 2015; final manuscript received March 28, 2016; published online May 30, 2016. Assoc. Editor: Ming Xin.

J. Dyn. Sys., Meas., Control 138(9), 091004 (May 30, 2016) (9 pages) Paper No: DS-15-1361; doi: 10.1115/1.4033318 History: Received August 01, 2015; Revised March 28, 2016

This paper presents a robust-optimal fuzzy controller for position and attitude stabilization and vibration suppression of a flexible spacecraft during antenna retargeting maneuver. The fuzzy controller is based on Takagi–Sugeno (T–S) fuzzy model and uses the parallel distributed compensator (PDC) technique to quadratically stabilize the closed-loop system. The proposed controller is robust to parameter and unstructured uncertainties of the model. We improve the performance and the efficiency of the controller by minimizing the upper bound of the actuator's amplitude and maximizing the uncertainties terms included in the T–S fuzzy model. In addition to actuator amplitude constraint, a fuzzy model-based observer is considered for estimating unmeasurable states. Using Lyapunov stability theory and linear matrix inequalities (LMIs), we formulate the problem of designing an optimal-robust fuzzy controller/observer with actuator amplitude constraint as a convex optimization problem. Numerical simulation is provided to demonstrate and compare the stability, performance, and robustness of the proposed fuzzy controller with a baseline nonlinear controller.

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References

Meirovitch, L. , and Kwak, K. M. , 1990, “ Dynamics and Control of Spacecraft With Retargeting Flexible Antennas,” J. Guid. Control Dyn., 13(2), pp. 241–248. [CrossRef]
Juang, N. N. , Kyong, K. M. , and Junkins, J. L. , 1989, “ Robust Eigensystem Assignment for Flexible Structures,” J. Guid. Control Dyn., 12(3), pp. 381–387. [CrossRef]
Agrawal, B. N. , and Bang, H. , 1995, “ Robust Closed-Loop Control Design for Spacecraft Slew Maneuver Using Thrusters,” J. Guid. Control Dyn., 18(6), pp. 1336–1344. [CrossRef]
Meirovitch, L. , and Kwak, K. M. , 1992, “ Control of Flexible Spacecraft With Time-Varying Configuration,” J. Guid. Control Dyn., 15(2), pp. 314–324. [CrossRef]
Turner, J. D. , and Junkins, J. L. , 1979, “ Optimal Large Angle Maneuver With Simultaneous Shape Control/Vibration Arrest,” Flight Mechanics/Estimation Theory Symposium, Goddard Space Flight Center, Greenbelt, MD, NASA Conference Publication 2123, pp. 201–214.
Meirovitch, L. , and Seungchul, L. , 1994, “ Maneuvering and Control of Flexible Space Robots,” J. Guid. Control Dyn., 17(3), pp. 520–528. [CrossRef]
Di Gennaro, S. , 2003, “ Output Stabilization of Flexible Spacecraft With Active Vibration Suppression,” IEEE Trans. Aerosp. Electron. Syst., 39(3), pp. 747–759. [CrossRef]
Yurkovich, S. , Oezguener, U. , and Al-Abbass, F. , 1988, “ Model Reference Sliding Mode Adaptive Control for Flexible Structures,” J. Astronaut. Sci., 36(3), pp. 285–310.
Scarritt, S. , 2008, “ Nonlinear Model Reference Adaptive Control for Satellite Attitude Tracking,” AIAA Paper No. 2008-7165.
Park, Y. , Kusong, Y. , and Tahk, M. J. , 2001, “ Optimal Stabilization of Takagi–Sugeno Fuzzy Systems With Application of Spacecraft Control,” J. Guid. Control Dyn., 24(4), pp. 767–777. [CrossRef]
Park, Y. , Tahk, M. J. , and Bang, H. , 2004, “ Design and Analysis of Optimal Controller for Fuzzy Systems With Input Constraint,” IEEE Trans. Fuzzy Syst., 12(6), pp. 766–779. [CrossRef]
Zhang, X. , Zeng, M. , and Xu, X. , 2011, “ Output Feedback Attitude Tracking Control of Rigid Spacecraft for Takagi–Sugeno Fuzzy Model,” J. Inf. Comput. Sci., 8(13), pp. 2743–2750.
Zhang, X. , Zeng, M. , and Yu, X. , 2011, “ Fuzzy Control of Rigid Spacecraft Attitude Maneuver With Decay Rate and Input Constraints,” Int. J. Uncertainty, Fuzziness Knowl. Based Syst., 19(6), pp. 1033–1046. [CrossRef]
Zhang, X. , Zeng, M. , and Li, Y. , 2011, “ H ∞ Control for Spacecraft Attitude Maneuver With Input Constraint,” J. Comput. Inf. Syst., 7(9), pp. 3077–3084.
Butler, E. J. , Wanh, H. O. , and Burken, J. J. , 2011, “ Takagi–Sugeno Fuzzy Model-Based Flight Control and Failure Stabilization,” J. Guid. Control Dyn., 34(5), pp.1543–1555. [CrossRef]
Hong, S. K. , and Nam, Y. , 2003, “ Stable Fuzzy Control System Design With Pole Placement Constraint: An LMI Approach,” Comput. Ind., 51(1), pp. 1–11. [CrossRef]
Ayoubi, M. A. , and Sendi, C. , 2014, “ Takagi–Sugeno Fuzzy Model-Based Control of Spacecraft With Flexible Antenna,” J. Astronaut. Sci., 61(1), pp. 40–59. [CrossRef]
Sendi, C. , and Ayoubi, M. A. , 2014, “ Robust Fuzzy Logic-Based Tracking Control of a Flexible Spacecraft With H ∞ Performance Criteria,” AIAA Paper No. 2014-4417.
Meirovitch, L. , 1990, Dynamics and Control of Structures, Wiley, New York, Chap. 7.
Takagi, T. , and Sugeno, M. , 1985, “ Fuzzy Identification of Systems and Its Applications to Modeling and Control,” IEEE Trans. Syst., Man, Cybernetics, 15(1), pp. 116–132. [CrossRef]
Kemin, Z. , and Pramod, K. , 1988, “ Robust Stabilization of Linear Systems With Norm-Bounded Time-Varying Uncertainty,” Syst. Control Lett., 10(1), pp. 17–20. [CrossRef]
Tanaka, K. , Ikeda, T. , and Wang, H. O. , 1996, “ Robust Stabilization of Class of Uncertain Nonlinear System Via Fuzzy Control: Quadratic Stabilizability, H ∞ Control Theory, and Linear Matrix Inequalities,” IEEE Trans. Fuzzy Syst., 4(1), pp. 1–13. [CrossRef]
Yoneyama, J. , Nishikawa, M. , Katayama, H. , and Ichikawa, A. , 2000, “ Output Stabilization of Takagi–Sugeno Fuzzy Systems,” Fuzzy Sets Syst., 111(2), pp. 253–266. [CrossRef]
Xiao, J. M. , Zeng, Q. S. , and Yan, H. Y. , 1998, “ Analysis and Design of Fuzzy Controller and Fuzzy Observer,” IEEE Trans. Fuzzy Syst., 6(1), pp. 41–51. [CrossRef]
Wang, H. O. , and Tanaka, K. , 1995, “ Parallel Distributed Compensation of Nonlinear Systems by Takagi–Sugeno Fuzzy Model,” Fuzzy Systems, International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and the Second International Fuzzy Engineering Symposium, Yokohama, Japan, Mar. 20–24, pp. 531–538.
Khalil, H. K. , 2002, Nonlinear Systems, 3rd ed., Prentice Hall, Upper Saddle River, NJ, Chap. 14.
Tanaka, K. , and Wang, H. O. , 2001, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, Wiley, New York, pp. 66–152.
Löfberg, J. , 2004, “ YALMIP: A Toolbox for Modeling and Optimization in MATLAB,” IEEE International Symposium on Computer Aided Control System Design, Taipei, Taiwan, Sept. 4, pp. 284–289.

Figures

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Fig. 1

Model of the flexible spacecraft

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Fig. 2

Schematic diagram of the system

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Fig. 3

Fuzzy membership function

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Fig. 4

Angular position, velocity, and acceleration of the antenna with respect to the platform

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Fig. 5

Position of the platform center-of-gravity Rz

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Fig. 6

Time history of Euler angle θx

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Fig. 7

Open-loop deflection of the antenna-tip, δy, for the T-S and nonlinear models

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Fig. 8

Closed-loop and open-loop response of the antenna tip deflection, δy

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Fig. 9

Time history of Euler angle θx

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Fig. 10

Position of the platform center-of-gravity

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Fig. 11

Actuator moment on the platform

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Fig. 12

Actuator force of the antenna tip in the x-direction

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Fig. 13

Displacement of the antenna tip in the y-direction

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Fig. 14

Time history of Euler angle θx

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Fig. 15

Position of the platform center-of-gravity

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