Global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state

ABSTRACT

In this paper, we aim at addressing the problem of global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state. The nonlinear functions of the system are bounded by both low-order and high-order terms multiplied by a polynomial-type incremental rate. With the combination of homogeneous domination approach and sector bound approach, a quantised controller computed from quantised state is constructed and a guideline is derived for selecting the parameters of the quantisers. Further, it is proved that, with the proposed scheme, the closed-loop system is globally asymptotically stable.

KEYWORDS:

• Homogeneous domination approach
• sector bound approach
• logarithmic quantiser
• quantised controller computed from quantised state

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the NSF of China [grant number 61273141], [grant number 61433011]; the National Basic Research Program of China (973 Program) [grant number 2014CB046406].