An Improvement on Data-Driven Pole Placement for State Feedback Control and Model Identification
- 1 Division of Electrical Engineering and Computer Science, Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Japan
- 2 Faculty of Electrical and Computer Engineering, Institute of Science and Engineering, Kanazawa University, Kanazawa, Japan
Abstract
The recently proposed data-driven pole placement method is able to make use of measurement data to simultaneously identify a state space model and derive pole placement state feedback gain. It can achieve this precisely for systems that are linear time-invariant and for which noiseless measurement datasets are available. However, for nonlinear systems, and/or when the only noisy measurement datasets available contain noise, this approach is unable to yield satisfactory results. In this study, we investigated the effect on data-driven pole placement performance of introducing a prefilter to reduce the noise present in datasets. Using numerical simulations of a self-balancing robot, we demonstrated the important role that prefiltering can play in reducing the interference caused by noise.
- Wonham, W.M. (1967) On Pole Assignment in Multi-input Controllable Linear Systems. IEEE Transaction on Automatic Control, 12, 660-665. https://doi.org/10.1109/TAC.1967.1098739
- Ackermann, J.E. (1977) On the Synthesis of Linear Control Systems with Specified Characteristics. Automatica, 13, 89-94.
- Kimura, H. (1975) Pole Assignment by Gain Output Feedback. IEEE Transaction Automatic Control, 20, 509-516. https://doi.org/10.1109/TAC.1975.1101028
- Hikita, H., Koyama, S. and Miura, R. (1975) The Redundancy of Feedback Gain Matrix and the Derivation of Low Feedback Gain Matrix in Pole Assignment. The Society of Instrument and Control Engineers, 11, 556-560. (In Japanese)
- Yamamoto, S., Okano, Y. and Kaneko, O. (2016) A Data-driven Pole Placement Method Simultaneously Identifying a State Space Model. Transaction of the Institute of Systems, Control and Information Engineers, 29, 275-284. (In Japanese)
- Hou, Z.S. and Wang, Z. (2013) From Model-Based Control to Data-Driven Control: Survey. Classification and Perspective, Information Sciences, 235, 3-35.
- Safonov, M.G. and Tsao, T.C. (1997) The Unfalsified Control Concept and Learning. IEEE Transactions on Automatic Control, 42, 843-847. https://doi.org/10.1109/9.587340
- Campi, M.C., Lecchini, A. and Savaresi, S.M. (2002) Virtual Reference Feedback Tuning: A Direct Method for the Design of Feedback Controllers. Automatica, 38, 1337-1346.
- Sala, A. and Esparza, A. (2005) Extensions to “Virtual Reference Feedback Tuning: A Direct Method for the Design of Feedback Controllers”. Automatica, 41, 1473-1476.
- Souma, S., Kaneko, O. and Fujii, T. (2004) A New Method of a Controller Parameter Tuning Based on Input-output Data-Fictitious Reference Iterative Tuning. Proceedings of the 2nd IFAC Workshop on Adaptation and Learning in Control and Signal Processing, 37, 789-794.
- Matsui, Y., Akamatsu, S., Kimura, T., Nakano, K. and Sakurama, K. (2011) Fictitious Reference Iterative Tuning for State Feedback Control of Inverted Pendulum with Inertia Rotor. SICE Annual Conference, Tokyo, 13-18 September 2011, 1087-1092.
- Matsui, Y., Akamatsu, S., Kimura, T., Nakano, K. and Sakurama, K. (2014) An Application of Fictitious Reference Iterative Tuning to State Feedback, Electronics and Communications in Japan, 97, 1-11. https://doi.org/10.1002/ecj.11506
- Kaneko, O. (2015) The Canonical Controller Approach to Data-Driven Update of State Feedback Gain. Proceedings of the 10th Asian Control Conference 2015 (ASCC 2015), Kota Kinabalu, 31 May-3 June 2015, 2980-2985. https://doi.org/10.1109/ASCC.2015.7244744