Modeling for Two-Cart Mass-Spring-Damper System with Uncertainties Based on Mixed μ -Synthesis

This paper provides a tutorial introduction and overview of design techniques for a system with both parametric uncertainty and unmodeled uncertainty, using mixed μ-synthesis. This paper also includes LFTs representation for modeling and an example of two-cart mass-spring-damper system (MSDs) is used to analyze its robust stability and performance, based on mixed μ-synthesis.

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

[2]  John Doyle,et al.  Structured uncertainty in control system design , 1985, 1985 24th IEEE Conference on Decision and Control.

[3]  Gary J. Balas,et al.  Development of Advanced Control Design Software for Researchers and Engineers , 1991, 1991 American Control Conference.

[4]  P. Young.  Controller design with real parametric uncertainty , 1996 .

[5]  A. Pascoal,et al.  RMMAC: a novel robust adaptive control scheme. Part II. Performance evaluation , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).