Vector Control Lyapunov Function Based Stabilization of Nonlinear Systems in Predefined Time

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dc.contributor.author Singh, Bhawana
dc.contributor.author Pal, Anil Kumar
dc.contributor.author Kamal, Shyam
dc.contributor.author Dinh, Thach Ngoc
dc.date.accessioned 2024-04-01T10:08:44Z
dc.date.available 2024-04-01T10:08:44Z
dc.date.issued 2023-08-01
dc.identifier.issn 00189286
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/3053
dc.description This paper published with affiliation IIT (BHU), Varanasi in open access mode. en_US
dc.description.abstract Predefined-time stability is the stability of dynamical systems whose solutions approach the equilibrium point within a predecided time duration. In this technical note, we develop general results of predefined-time stability of nonlinear systems using vector Lyapunov functions. A vector comparison system, which is predefined-time convergent, is constructed, and after that the stability of the original dynamical system is proved using differential inequalities and comparison principles. Moreover, we design predefined-time controllers for large-scale systems using vector control Lyapunov functions. Sliding-mode control is introduced in the design approach to mitigate matched bounded disturbances/uncertainties. Also, we aggregate comparison systems to reduce their dimensionality in order to effectively apply the derived results on practical systems. The theoretical results are implemented on a 2 DOF Helicopter model. en_US
dc.language.iso en en_US
dc.publisher Institute of Electrical and Electronics Engineers Inc. en_US
dc.relation.ispartofseries IEEE Transactions on Automatic Control;68
dc.subject Comparison principle; en_US
dc.subject finite-time stability; en_US
dc.subject Lyapunov function en_US
dc.subject Asymptotic stability; en_US
dc.subject onlinear systems; en_US
dc.subject Sliding mode control; en_US
dc.title Vector Control Lyapunov Function Based Stabilization of Nonlinear Systems in Predefined Time en_US
dc.type Article en_US


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