Robust control for a class of high-order uncertain nonlinear systems via measurement feedback

ABSTRACT

This paper considers the problem of global stabilisation for a class of uncertain nonlinear systems, which are of high order and have unknown measurement functions. Based on the notion of homogeneity with monotone degrees (HWMD), the new definition of HWMD indexes is introduced not only to provide an explicit manner to select the homogeneous weights, but also to guarantee the solvability of this problem. By subtly designing a series of Lyapunov functions with indeterministic homogeneous degrees, a measurement feedback controller is proposed to globally stabilise the nonlinear system under different sensors with certain conditions.

KEYWORDS:

• High-order nonlinear systems
• HWMD indexes
• measurement feedback controller
• adding a power integrator

Acknowledgments

This work was supported in part by National Natural Science Foundation of China [grant number 61703405,61473082]; the Fundamental Research Funds for the Central Universities [grant number 2017QJ01]; the Qing Lan Project.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by National Natural Science Foundation of China [grant number 61703405, 61473082]; the Fundamental Research Funds for the Central Universities [grant number 2017QJ01]; the Qing Lan Project.