Robust Mixed-Mu Synthesis Performance for Mass-Spring System with Stiffness Uncertainty

The purpose of this research is to study the robust feedback control of a mass-spring system with two masses and two springs. The main performance objective is to keep constant the displacement of the mass affected by a disturbance. Compensators designed by the mu-synthesis method allow us to study how the performance changes with the stiffness constant uncertainly, when the bandwidth of disturbance is either below or above the resonance frequencies. In one case we only measure the displacement of the mass that we want to minimize; in the another case the measurements of the displacement for both masses are measured

[1]  M. Morari,et al.  Computational complexity of μ calculation , 1993 .

[2]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[3]  T. Sugie,et al.  Controller design of 2 mass-spring system via LMI , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[4]  William S. Levine,et al.  The Control Handbook , 2005 .

[5]  W. Reinelt,et al.  Robust control of a two-mass-spring system subject to its input constraints , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[6]  P. Phokharatkul,et al.  Integral quadratic constraints-based robust controller two-mass-spring system , 2000, 2000 TENCON Proceedings. Intelligent Systems and Technologies for the New Millennium (Cat. No.00CH37119).

[7]  Peter M. Young,et al.  Controller design with mixed uncertainties , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[8]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[9]  M. Morari,et al.  Computational complexity of μ calculation , 1994, IEEE Trans. Autom. Control..

[10]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..