Experimental demonstration of reset control design

Abstract Using the describing function method, engineers in the 1950s and 1960s conceived of novel nonlinear compensators in an attempt to overcome performance limitations inherent in linear time-invariant (LTI) control systems. This paper is concerned with a subset of such devices called “reset controllers”, which are LTI systems equipped with mechanisms and laws to reset their states to zero. This paper reports on a design procedure and a laboratory experiment, the first to be reported in the literature, in which the resulting reset controller provides better design tradeoffs than LTI compensation. Specifically, it is shown that reset control increases the level of sensor-noise suppression without sacrificing either disturbance-rejection performance or gain/phase margins.

[1]  J. C. Clegg.  A nonlinear integrator for servomechanisms , 1958, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[2]  Hiromu Hirai,et al.  A mode-switching controller with initial value compensation for hard disk drive servo control , 1997 .

[3]  C. B. Pear.  Magnetic recording in science and industry , 1967 .

[4]  D. L. Gieseking,et al.  A Nonlinear Filter for Independent Gain and Phase (With Applications) , 1966 .

[5]  Yuan Zheng.  Theory and practical considerations in reset control design , 1998 .

[6]  Y. Chait,et al.  On the zero-input stability of control systems with Clegg integrators , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[7]  I. Horowitz,et al.  Non-linear design for cost of feedback reduction in systems with large parameter uncertainty † , 1975 .

[8]  Isaac Horowitz,et al.  Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances† , 1974 .

[9]  Marvin Camras,et al.  Magnetic Recording Handbook , 1988 .

[10]  William C. Messner,et al.  Controller development for a prototype high-speed low-tension tape transport , 1998, IEEE Trans. Control. Syst. Technol..

[11]  Eric D. Daniel,et al.  Magnetic recording handbook: technology & applications , 1989 .

[12]  I. Horowitz.  Synthesis of feedback systems , 1963 .

[13]  Y. Chait,et al.  Stability analysis for control systems with reset integrators , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.