Homogeneity with incremental degrees and global stabilisation of a class of high-order upper-triangular systems

摘要

The problem of global asymptotic stabilisation is investigated for a class of upper-triangular systems with uncontrollable linearisation. A notion of generalised homogeneity is introduced in this article, providing a new insight and a deeper perspective on how to categorise nonlinear terms into the higher-order and equal-order terms in a non-traditional way. The delicate analysis and new categorisation of the vector field make it possible to encompass more general nonlinearities. A globally stabilising controller is recursively constructed by a bottom-up, step-by-step procedure, containing the equal-order terms as its indispensable components. It is illustrated that the results obtained in this article incorporate and extend existing results for the global stabilisation of upper-triangular systems.View full textDownload full textKeywordsglobal stabilisation, upper-triangular systems, homogeneity with incremental degrees, smooth small controlRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00207179.2012.706713