Output feedback stabilisation for nonlinear systems with unknown output function and control coefficients and its application

ABSTRACT

This paper solves the problem of output feedback stabilisation for nonlinear systems with unknown output function and control coefficients. Since output function is Lipschitz continuous but not necessary derivable, the maximal sector region of output function is given. As long as output function belongs to the sector, an output feedback controller can be designed to render the closed-loop system globally asymptotically stable. The effectiveness of controller is demonstrated by two examples.

KEYWORDS:

• Nonlinear systems
• output feedback stabilisation
• output function
• control coefficients
• DC–DC buck power converter

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

National Natural Science Foundation of China [grant number 61273125].