Increasing-gain observers for nonlinear systems: Stability and design

Angelo Alessandri ^[1] ; Anna Rossi ^[1]
1. [1] University of Genoa
  
  University of Genoa
  
  Genoa, Italia
Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 57, 2015, págs. 180-188
Idioma: inglés
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Resumen
- For the purpose to estimate the state of nonlinear continuous-time systems, we focus on the increasing-gain observer regarded as generalization of the well-known high-gain observer. As compared with the previous results on increasing-gain observers, the assumptions under which the global asymptotic stability of the estimation error is proved are relaxed. The stability analysis is drawn by using a more general type of Lyapunov functional, where design parameters can be tuned to set the time-varying gain. A new design method based on such a Lyapunov functional is proposed to construct the observer. Simulation results affirm the effectiveness of the increasing-gain approach as compared with the high-gain observer.