Robust Stabilization for Nonlinear Differential Inclusion Systems Subject to Disturbances

The stabilization problem of nonlinear differential inclusion (NDI) systems with disturbances is dealt with in this paper. First, based on the convex hull Lyapunov function (CHLF) approach, a continuous state feedback law is designed, which can globally asymptotically stabilize this kind of systems...

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Published inZi dong hua xue bao Vol. 36; no. 9; pp. 1327 - 1331
Main Author CAI, Xiu-Shan
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2010
Subjects
convex hull Lyapunov (CHLF) function
disturbance rejection
Nonlinear differential inclusion (NDI)
stabilization
convex hull Lyapunov (CHLF) function
disturbance rejection
stabilization
Nonlinear differential inclusion (NDI)
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Summary:The stabilization problem of nonlinear differential inclusion (NDI) systems with disturbances is dealt with in this paper. First, based on the convex hull Lyapunov function (CHLF) approach, a continuous state feedback law is designed, which can globally asymptotically stabilize this kind of systems without disturbances. Second, by the state feedback, the reachable set under two classes of bounded disturbances is achieved simultaneously. Finally, a numerical example is used to illustrate the effectiveness of the proposed design technique.
ISSN:1874-1029
1874-1029
DOI:10.1016/S1874-1029(09)60056-2