Supervisory acceleration of convergence for homogeneous systems

D. Efimov*, A. Levant, A. Polyakov, W. Perruquetti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The rate of convergence to the origin for a chain of integrators stabilised by homogeneous feedback is accelerated by a supervisory switching of control parameters. The proposed acceleration algorithm ensures a fixed-time convergence for otherwise exponentially or finite-time stable homogeneous closed-loop systems. Bounded disturbances are taken into account. The results are especially useful in the case of exponentially stable systems widespread in practice. The proposed switching strategy is illustrated by computer simulation.

Original languageEnglish
Pages (from-to)2524-2534
Number of pages11
JournalInternational Journal of Control
Issue number11
StatePublished - 2 Nov 2018


FundersFunder number
Ministry of Education and Science of the Russian Federation
Government Council on Grants, Russian Federation074-U01


    • Homogeneous systems
    • finite-time stability
    • fixed-time stability


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