Robust feedback stabilisation of homogeneous differential inclusions

ABSTRACT

The present paper is devoted to solution of the robust stabilisation problem for generalised homogeneous differential inclusions via dynamical feedback. The stability criterion is obtained. It is shown that asymptotically stable homogeneous differential inclusion is topologically equivalent to quadratically stable one via corresponding coordinate transformation. The results are supported with numerical examples of dynamical feedback design for an active suspension system.

KEYWORDS:

• Differential inclusions
• homogeneous systems
• stability

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the Russian Science Foundation under grant 17-19-01422; Ministry of Science and Higher Education of Russian Federation [passport of goszadanie no. 2019-0898]; Government of Russian Federation [08-08].