A Design Method for Robust Stabilizing Modified Repetitive Controllers for Time-Delay Plants

Abstract:

Article Preview

In this paper, we examine the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants. The modified repetitive control system is a type of servomechanism designed for a periodic reference input. When modified repetitive control design methods are applied to real systems, the influence of uncertainties in the plant must be considered. The stability problem with uncertainty is known as the robust stability problem. Recently, the parameterization of all stabilizing modified repetitive controllers was obtained. Since the parameterization of all stabilizing modified repetitive controllers was obtained, we can express previous study of robust stabilizing modified repetitive controller in a uniform manner and can design a stabilizing modified repetitive controller systematically. However, the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants has not been obtained. In this paper, we clarify the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants.

Info:

Periodical:

Edited by:

Yusaku Fuji and Koichi Maru

Pages:

233-242

DOI:

10.4028/www.scientific.net/AMM.36.233

Citation:

Y. Ando et al., "A Design Method for Robust Stabilizing Modified Repetitive Controllers for Time-Delay Plants", Applied Mechanics and Materials, Vol. 36, pp. 233-242, 2010

Online since:

October 2010

Export:

Price:

$38.00

[1] T. Inoue, M. Nakano, T. Kubo and S. Matsumoto: High Accuracy Control Magnet Power Supply of Proton Synchrotron in Recurrent Operation The Trans. of The Institute of Electrical Engineers of Japan Vol. 100 (1980), pp.234-240.

[2] Y. Yamamoto, S. Har: The Internal Model Principle and Stabilizability of Repetitive Control System. Trans. of the Society of Instrument and Control Engineers. Vol. 22-8 (1981), pp.830-834.

[3] S. Hara, Y. Yamamoto, T. Omata and M. Nakano: Repetitive Control System: A New Type Servo System for Periodic Exogenous Signals. IEEE Trans. on Automatic Control. Vol. 33-7 (1987), pp.659-668.

DOI: 10.1109/9.1274

[4] T. Omata, S. Hara and M. Nakano: Nonlinear Repetitive Control with Application to Trajectory Control of Manipulators. J. of Robotic Systems Vol. 4-5 (1987), pp.631-652.

DOI: 10.1002/rob.4620040505

[5] J.C. Doyle, K. Glover, P.P. Khargonekar, and B. A Francis: State-space solution to standard and control problem. IEEE Trans. on Automatic Control Vol. 34 (1989), pp.831-847.

DOI: 10.1109/9.29425

[6] T. Iwasaki and R.E. Skelton: All controllers for the general control problem LMI existence conditions and state space formulas. Automatica Vol. 30-8 (1994), pp.1307-1317.

DOI: 10.1016/0005-1098(94)90110-4

[7] P. Gahinet and P. Apkarian: A linear matrix inequality approach to control. International Journal of Robust and Nonlinear Control Vol. 4 (1987), pp.421-448.

DOI: 10.1002/rnc.4590040403

[8] S. Hara, P. Trannitad and Y. Chen: Robust Stabilization for Repetitive Control Systems. Proceeding of the 1st Asian Control Conference Vol. (1994), pp.541-544.

[9] N. Abe, and A. Kojima: Control in time-delay and distributed parameter systems. Corona Publishing  (2007).

[10] K. Satoh and K. Yamada: The parametrization of all robust stabilizing repetitive controllers. Preprints of the 16th International Federation of Automatic Control World Congress (2005).

[11] K. Yamada, T. Arakawa, H. Hoshi and T. Okuyama: Two-step design method of robust repetitive control systems. JSME International Journal Series C Vol. 46 (2003), pp.1068-1074.

DOI: 10.1299/jsmec.46.1068

[12] K. Yamada, K. Satoh and T. Arakawa: A design method for robust repetitive control systems. Intelligent Engineering Systems Thorough Artificial Neural Networks Vol. 13 (2003), pp.547-552.

In order to see related information, you need to Login.