JRM Vol.28 No.5 pp. 625-632
doi: 10.20965/jrm.2016.p0625


Fictitious Reference Signal Based Real-Time Update of State Feedback Gains and its Experimental Verification

Yuki Okano* and Osamu Kaneko**

*Graduate School of Natural Science and Technology, Kanazawa University
Kakuma-machi, Kanazawa, Ishikawa 920-1192, Japan

**Department of Mechanical Engineering and Intelligent Systems, The University of Electro-Communications
1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan

February 5, 2016
August 23, 2016
October 20, 2016
data-driven control, fictitious reference iterative tuning, real-time control, state feedback gains, integral type servo systems
This paper presents a new real-time parameter tuning in the data-driven framework. We focus on the tuning of state feedback gains to realize the desired performance of closed loop systems. For a real-time update tuning of this type of a controller, the notion of fictitious reference signal or the fictitious exogenous signal is utilized to generate the optimal gains in the real-time by using the measured past data. We also explain how the optimization can be realized as a recursive computation in real-time updates. Finally, an experiment is done to verify the effectiveness of the proposed method.
Real-time update of state feedback gains

Real-time update of state feedback gains

Cite this article as:
Y. Okano and O. Kaneko, “Fictitious Reference Signal Based Real-Time Update of State Feedback Gains and its Experimental Verification,” J. Robot. Mechatron., Vol.28 No.5, pp. 625-632, 2016.
Data files:
  1. [1] R. W. Brockett, “Finite Dimensional Systems,” John Wiley and Sons, Inc. 1969.
  2. [2] K. Furuta and A. Sano, “Introduction to Linear System Theory,” CORONA Publishing Co., Ltd., 1978 (in Japanese).
  3. [3] Y. Yamashina, O. Kaneko, and S. Yamamoto, “Real-Time Parameter Tuning for the Feed-Forward Controller in a Two-Degree-of-Freedom Control System with FRIT,” Proc. of the 10th SICE Control Division Conf., 18412, 2012 (in Japanese).
  4. [4] H. Nakatsuka, T. Sato, T. Yamamoto, N. Araki, and Y. Konishi, “Feedforward Controller Tuning Method based on Online FRIT with Control Performance Evaluation,” Trans. of the Institute of Systems, Control, and Information Engineers, Vol.26, No.6, pp. 221-223, 2013 (in Japanese).
  5. [5] S. Masuda, “A Model Reference Adaptive Control Using On-Line Direct Control Parameter Tuning Method,” J. of the Society of Instruments and Control Engineers, Vol.52, No.10, pp. 860-865, 2013 (in Japanese).
  6. [6] Y. Wakasa, R. Azakami, S. Masuda, M. Tanaka, and S. Nakazima, “FRIT and RLS-based On-line Controller Tuning,” IEEJ Trans. Series C, Vol.133, No.10, pp. 1950-1956, 2013.
  7. [7] S. Souma, O. Kaneko, and T. Fujii, “A New Method of Controller Parameter Tuning Based on Input-Output Data-Fictitious Reference Iterative Tuning (FRIT),” Proc. of the 8th IFAC Workshop on Adaption and Learning Control and Signal Processing, pp. 788-794, 2004.
  8. [8] O. Kaneko, “Parameter Tuning of a Controller Based on the Direct Use of the Data,” J. of the Society of Instruments and Control Engineers, Vol.47, No.11, pp. 903-908, 2008 (in Japanese).
  9. [9] O. Kaneko, “Data-Driven Controller Tuning: FRIT Approach (Tutorial),” 11th IFAC Workshop on Adaptation and Learning in Control and Signal Processing, pp. 326-336, 2013.
  10. [10] M. C. Campi, “A. Lecchini, and S. M. Savaresi, Virtual Reference Feedback Tuning: a Direct Method for the Design of Feedback Controllers,” Automatica, Vol.38, pp. 1337-1346, 2002.
  11. [11] M. G. Safonov and T. C. Tsao, “The Unfalsified Control Concept and Learning,” IEEE Trans. on Automatic and Control, Vol.42, No.6, pp. 843-847, 1997.
  12. [12] M. Hirata, “Let’s Start Control Systems Design with Arduino and MATLAB,” Tech Share Co. Ltd., 2012 (in Japanese).
  13. [13] F. Sawakawa, O. Kaneko, and S. Yamamoto, “Data-Driven Update of State feedback Gains in Servo Systems,” Proc. of the 55th Joint Conf. on Automatic Control, pp. 821-824, 2012 (in Japanese).
  14. [14] Y. Okano, O. Kaneko, F. Sawakawa, and S. Yamamoto, “FRIT Based Recursive Update of Feedback Gains in the Integral Type Servo Systems,” Proc. of SICE Annual Conf. 2014, pp. 21-24, 2014.
  15. [15] H. Goto, M. Ishida, and K. Sagawa, “Stability estimation of standing posture using PID control law,” Proc. of the Annual Meetings of SICE Tohoku Chapter, 265-7, 2011 (in Japanese).
  16. [16] T. Suzuki, T. Shinnaka, and K. Tanaka, “Simple Proof of the Generalized Adaptive Law and Some Properties pf the Constant-Trace Algorithm,” Trans. of the Society of Instrument and Control Engineers, Vol.18, No.11, pp. 1074-1079, 1982 (in Japanese).
  17. [17] I. Landau and R. Logano, “Unification of Discrete Time Explicit Model Reference Adaptive Control Designs,” Automatica, Vol.17, Issue 4, pp. 593-611, 1981.
  18. [18] O. Kaneko, F. Sawakawa, and S. Yamamoto, “Data-driven update of state feedback gains,” Trans. of the Society of Instrument and Control Engineers, Vol.49, No.6, pp. 632-638, 2013 (in Japanese).
  19. [19] P. Bogacki and L. F. Shampine, “A 3(2) Pair of Runge-Kutta Formulas,” Applied Mathematics Letters, Vol.2, Issue 4, pp. 321-325, 1989.
  20. [20] S. Wakitani, T. Nawachi, G. R. Martins, and T. Yamamoto, “Design and Implementation of a Data-Oriented Nonlinear PID Controller,” J. of Advanced Computational Intelligence and Intelligent Informatics, Vol.17, No.5, pp. 690-698, 2013.

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