Year: 2025
Type: article
Abstract: This paper investigates analysis and design problems for a class of parameter-varying generalized Persidskii systems. A model within this class is simultaneously linear in time-varying parameters as in LPV framework, and contains sector nonlinearities of the state, as in Persidskii systems. The conditions for ( integral) input-to-state stability and input-output-to-state stability are established. These results are developed using both, parameter-dependent and independent, Lyapunov functions. To formulate these conditions, parameterized matrix inequalities are used, which are reduced to linear ones under additional assumptions concerning the model's dependence on the time-varying parameters. Finally, a new robust nonlinear control design method is also developed. The efficacy of these results is illustrated through a numerical academic example and a more complex model describing the nonlinear dynamics of aircraft longitudinal motion.
Institutions: Hainan University, Centre National de la Recherche Scientifique, Université de Bordeaux, Laboratoire de l'Intégration du Matériau au Système, Institut national de recherche en sciences et technologies du numérique, Université de Lille, Centre de Recherche en Informatique, Signal et Automatique de Lille
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Awards: G5590866039, G8167380091, G902099414
OpenAlex ID: W4410152894