A well-established methodology to solve the disturbance attenuation problem exploits the solution of a Hamilton-Jacobi (HJ) partial differential inequality, which may be, however, difficult to solve in practical situations. Herein this drawback is resolved determining a dynamic solution of the HJ inequality, considering the immersion of the nonlinear system into an extended state-space in which a positive definite storage function can be constructed. This results in a methodology to design a dynamic controller to achieve L 2-disturbance attenuation and stability without solving any partial differential equation or inequality.
Sassano, M., Astolfi, A. (2010). Dynamic solution of the Hamilton-Jacobi inequality in the L 2-disturbance attenuation problem. ??????? it.cilea.surplus.oa.citation.tipologie.CitationProceedings.prensentedAt ??????? IFAC Proceedings Volumes (IFAC-PapersOnline) [10.3182/20100901-3-IT-2016.00123].
Dynamic solution of the Hamilton-Jacobi inequality in the L 2-disturbance attenuation problem
Sassano M.;Astolfi A.
2010-01-01
Abstract
A well-established methodology to solve the disturbance attenuation problem exploits the solution of a Hamilton-Jacobi (HJ) partial differential inequality, which may be, however, difficult to solve in practical situations. Herein this drawback is resolved determining a dynamic solution of the HJ inequality, considering the immersion of the nonlinear system into an extended state-space in which a positive definite storage function can be constructed. This results in a methodology to design a dynamic controller to achieve L 2-disturbance attenuation and stability without solving any partial differential equation or inequality.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.