/spl mu/-synthesis with matrix valued scalings-algorithms and examples

Approximation of rational matrix functions plays an important part in the /spl mu/-synthesis algorithm of robust controllers if the plant is subject to repeated uncertainties. Algorithms for approximation of rational matrices/factors to data are reviewed and practical issues are discussed. The methodology is illustrated by the design of a robust gain-scheduling controller for a linear time-varying system.

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

[2]  John Doyle,et al.  Design examples using µ-synthesis: Space shuttle lateral axis FCS during reentry , 1986, 1986 25th IEEE Conference on Decision and Control.

[3]  André C. M. Ran A course in H∞− control theory , 1988 .

[4]  A. Tits,et al.  Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics , 1991 .

[5]  J. Doyle,et al.  Review of LFTs, LMIs, and mu , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[6]  J. Doyle,et al.  mu analysis with real parametric uncertainty , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[7]  J. Doyle,et al.  Review of LFTs, LMIs, and mu. [Linear Fractional Transformations, Linear Matrix Inequalities , 1991 .

[8]  J. Doyle,et al.  Practical computation of the mixed μ problem , 1992, 1992 American Control Conference.

[9]  Andrew Packard,et al.  Control of linear fractional transformations , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

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

[11]  A. Packard Gain scheduling via linear fractional transformations , 1994 .

[12]  Anders Helmersson,et al.  Applications of Mixed µ-Synthesis Using the Passivity Approach , 1994 .

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

[14]  A. Rantzer A Note on the Kalman-Yakubovich-Popov Lemma , 1995 .

[15]  Jakob Stoustrup,et al.  A New Approach to mu-synthesis for Mixed Perturbation Sets , 1995 .

[16]  Anders Helmersson,et al.  Methods for robust gain scheduling , 1995 .

[17]  Tomas McKelvey,et al.  State-space parametrizations of multivariable linear systems using tridiagonal matrix forms , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[18]  L. Ljung,et al.  Subspace-based multivariable system identification from frequency response data , 1996, IEEE Trans. Autom. Control..

[19]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[20]  A. Helmersson,et al.  A subspace approach for approximation of rational matrix functions to sampled data , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[21]  Keith Glover,et al.  μ-analysis and synthesis toolbox: for use with Matlab, user’s guide version 3 , 1998 .