Robust absolute stability of Lur'e systems with polynomic parametric uncertainty

  • Authors:

  • Gerardo Romero;José A. Guerrero;Aldo L. Mendez;Rene F. Domínguez;Irma Pérez

  • Affiliations:

  • UAM Reynosa Rodhe, UAT, Carr. Reynosa, San Fernando Cruce Con Canal Rodhe, Tamaulipas, México;UAM Reynosa Rodhe, UAT, Carr. Reynosa, San Fernando Cruce Con Canal Rodhe, Tamaulipas, México;UAM Reynosa Rodhe, UAT, Carr. Reynosa, San Fernando Cruce Con Canal Rodhe, Tamaulipas, México;UAM Reynosa Rodhe, UAT, Carr. Reynosa, San Fernando Cruce Con Canal Rodhe, Tamaulipas, México;UAM Reynosa Rodhe, UAT, Carr. Reynosa, San Fernando Cruce Con Canal Rodhe, Tamaulipas, México

  • Venue:
  • ISPRA'05 Proceedings of the 4th WSEAS International Conference on Signal Processing, Robotics and Automation
  • Year:
  • 2005

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Abstract

This paper presents new results to verify the robust absolute stability property of the Lur'e systems. As it is known, to solve the problem of robust absolute stability, the strict positive realness property (SPR) of a fictitious transfer function needs to be verified. In the present work, a fictitious transfer function with polynomic parametric uncertainty is considered. To verify the robust SPR property of this type of functions, an algorithm, based on the sign decomposition technique, is designed. This algorithm is codified in C language obtaining some advantages compared to others.