ROBUST SIMPLE ADAPTIVE H8 MODEL FOLLOWING CONTROL DESIGN BY LMIS

R. Ben Yamin, I. Yaesh, U. Shaked

2011

Abstract

An output-feedback direct adaptive control problem is considered for MIMO linear systems with polytopictype parameter uncertainties and disturbances. The objective is to make the system output follow the output of a system model and to attain guaranteed H¥ performance of the proposed adaptive control scheme. Sufficient conditions for closed-loop stability, model following performance, and achieving a prescribed bound on the H¥ disturbance attenuation level are derived, in terms of linear matrix inequalities. A numerical example, taken from the field of flight control, demonstrates the proposed method.

References

  1. Barkana, I. (2005). Classical and simple adaptive control for nonminimum phase autopilot design. volume 28. Jornal of Guidance, Control, and Dynamics.
  2. Barkana, I. (2005). Classical and simple adaptive control for nonminimum phase autopilot design. volume 28. Jornal of Guidance, Control, and Dynamics.
  3. Ben-Yamin, R., Yaesh, I., and Shaked, U. (2008). Robust simple adaptive model following with guaranteed h¥ performance. In the 16th Mediterranean conference on control and automation. Corsica.
  4. Ben-Yamin, R., Yaesh, I., and Shaked, U. (2008). Robust simple adaptive model following with guaranteed h¥ performance. In the 16th Mediterranean conference on control and automation. Corsica.
  5. Fradkov, A. (2003). Passification of non-square liner systems and feedback yakubovich-kalman-popov lemma. volume 6, pages 573-582. European journal of control.
  6. Fradkov, A. (2003). Passification of non-square liner systems and feedback yakubovich-kalman-popov lemma. volume 6, pages 573-582. European journal of control.
  7. Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M. (1995). LMI Control Toolbox for Use with MATLAB. The Mathworks Inc.
  8. Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M. (1995). LMI Control Toolbox for Use with MATLAB. The Mathworks Inc.
  9. Kaufman, H., BarKana, I., and Sobel, K. (1998). Direct Adaptive Control Algorithms - Theory and Applications. Springer, New-York, second edition.
  10. Kaufman, H., BarKana, I., and Sobel, K. (1998). Direct Adaptive Control Algorithms - Theory and Applications. Springer, New-York, second edition.
  11. Mathworks (1995). Control System Toolbox for Use with MATLAB. The Mathworks Inc.
  12. Mathworks (1995). Control System Toolbox for Use with MATLAB. The Mathworks Inc.
  13. Peaucelle, D. and Fradkov, A. (2008). Robust adaptive l2- gain control of polytopic mimo lti systems lmi results. volume 57, pages 881-886. Systems and control letters.
  14. Peaucelle, D. and Fradkov, A. (2008). Robust adaptive l2- gain control of polytopic mimo lti systems lmi results. volume 57, pages 881-886. Systems and control letters.
  15. Yaesh, I. and Shaked, U. (2006). Simplified adaptive control via improved robust positive real conditions. volume 55, pages 1033-1040. Systems and control letters.
  16. Yaesh, I. and Shaked, U. (2006). Simplified adaptive control via improved robust positive real conditions. volume 55, pages 1033-1040. Systems and control letters.
Download


Paper Citation


in Harvard Style

Ben Yamin R., Yaesh I. and Shaked U. (2011). ROBUST SIMPLE ADAPTIVE H8 MODEL FOLLOWING CONTROL DESIGN BY LMIS . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 338-343. DOI: 10.5220/0003515803380343


in Harvard Style

Ben Yamin R., Yaesh I. and Shaked U. (2011). ROBUST SIMPLE ADAPTIVE H8 MODEL FOLLOWING CONTROL DESIGN BY LMIS . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 338-343. DOI: 10.5220/0003515803380343


in Bibtex Style

@conference{icinco11,
author={R. Ben Yamin and I. Yaesh and U. Shaked},
title={ROBUST SIMPLE ADAPTIVE H8 MODEL FOLLOWING CONTROL DESIGN BY LMIS},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={338-343},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003515803380343},
isbn={978-989-8425-74-4},
}


in Bibtex Style

@conference{icinco11,
author={R. Ben Yamin and I. Yaesh and U. Shaked},
title={ROBUST SIMPLE ADAPTIVE H8 MODEL FOLLOWING CONTROL DESIGN BY LMIS},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={338-343},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003515803380343},
isbn={978-989-8425-74-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - ROBUST SIMPLE ADAPTIVE H8 MODEL FOLLOWING CONTROL DESIGN BY LMIS
SN - 978-989-8425-74-4
AU - Ben Yamin R.
AU - Yaesh I.
AU - Shaked U.
PY - 2011
SP - 338
EP - 343
DO - 10.5220/0003515803380343


in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - ROBUST SIMPLE ADAPTIVE H8 MODEL FOLLOWING CONTROL DESIGN BY LMIS
SN - 978-989-8425-74-4
AU - Ben Yamin R.
AU - Yaesh I.
AU - Shaked U.
PY - 2011
SP - 338
EP - 343
DO - 10.5220/0003515803380343