Decentralized and fixed-structure H∞ control in MATLAB

This paper presents two new MATLAB-based tools for tuning linear control systems in the frequency domain: HINFSTRUCT and LOOPTUNE. These tools can directly tune control architectures with multiple feedback loops and multiple fixed-order, fixed-structure control elements. The controller parameters are tuned using non-smooth H∞ optimization but little a-priori knowledge of H∞ theory is required to use the tools. This makes them ideally suited for real-world applications where the control system structure and complexity are constrained.

[1]  Adrian S. Lewis,et al.  HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization , 2006 .

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

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

[4]  R. Lane Dailey,et al.  Practical control law design for aircraft using multivariable techniques , 1994 .

[5]  Michael L. Overton,et al.  H∞ strong stabilization via HIFOO, a package for fixed-order controller design , 2008, 2008 47th IEEE Conference on Decision and Control.

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

[7]  Pierre Apkarian,et al.  Non‐smooth structured control design with application to PID loop‐shaping of a process , 2007 .

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

[9]  G. Stein,et al.  Beyond singular values and loop shapes , 1991 .

[10]  S. Hecker,et al.  Enhanced LFR-toolbox for MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[11]  Keith Glover,et al.  A loop-shaping design procedure using H/sub infinity / synthesis , 1992 .

[12]  Pierre Apkarian,et al.  Nonsmooth H∞ synthesis , 2005, IEEE Trans. Autom. Control..

[13]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[14]  P. Apkarian,et al.  Nonsmooth H ∞ synthesis , 2005 .

[15]  G. Looye,et al.  Symbolic and numerical software tools for LFT-based low order uncertainty modeling , 1999, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404).

[16]  Andras Varga,et al.  Enhanced LFR-toolbox for MATLAB , 2004 .

[17]  R. Redheffer.  On a Certain Linear Fractional Transformation , 1960 .

[18]  Pierre Apkarian,et al.  Structured H∞ Synthesis in MATLAB , 2011 .

[19]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[20]  P. Gahinet,et al.  A linear matrix inequality approach to H∞ control , 1994 .

[21]  Ciann-Dong Yang,et al.  Taguchi-genetic-algorithm in helicopter H∞ control design with robust flying quality , 2003 .

[22]  Pierre Apkarian,et al.  Nonsmooth optimization for multiband frequency domain control design , 2007, Autom..