Journal
NONLINEAR DYNAMICS
Volume 96, Issue 2, Pages 1497-1509Publisher
SPRINGER
DOI: 10.1007/s11071-019-04867-0
Keywords
Fixed-time stability region; Port-Hamiltonian systems; Fixed-time attractivity; Stability boundary at infinity
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Funding
- National Nature Science Foundation of China [61472331, 61772434]
- National Key Research and Development Program of China [2016YFB0800601]
- Fundamental Research Funds for the Central Universities [XDJK2015C078]
- Talents of Science and Technology promote plan, Chongqing Science and Technology Commission
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In this paper, the locally fixed-time and globally fixed-time stabilization problems for the port-Hamiltonian (PH) systems via the interconnection and damping assignment passivity-based control technique are discussed. The definitions of fixed-time stability region (or region of attraction) and fixed-time stability boundary are given in this paper. From this starting point, the sufficient condition of globally fixed-time attractivity of a prespecified locally fixed-time stability region is obtained. Combining the locally fixed-time stability and the globally fixed-time attractivity of a prespecified locally fixed-time stability region, the globally fixed-time stabilization problem for PH system is effectively solved. Furthermore, the globally fixed-time control scheme independent of locally fixed-time stability region has also been derived by constructing a novel Lyapunov function. A illustrative example shows that the results obtained in this paper work very well in fixed-time control design of PH systems.
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