Robust observer and observer-based control designs for discrete one-sided Lipschitz systems subject to uncertainties and disturbances

作者:

Highlights:

• Both robust observer and observer-based control designs are studied.

• The class of nonlinearities is broader than traditional Lipschitz nonlinearities.

• New approach to the robust observer design problem for discrete uncertain systems.

• Design conditions derived in terms of LMIs after linearizing the bilinear terms.

• Advantages of new results over existing works illustrated via a numerical example.

摘要

•Both robust observer and observer-based control designs are studied.•The class of nonlinearities is broader than traditional Lipschitz nonlinearities.•New approach to the robust observer design problem for discrete uncertain systems.•Design conditions derived in terms of LMIs after linearizing the bilinear terms.•Advantages of new results over existing works illustrated via a numerical example.

论文关键词:Robust observer design,Robust control design,Uncertainty,Disturbance,One-sided Lipschitz condition,Linear matrix inequality (LMI)

论文评审过程:Received 19 July 2018, Revised 21 November 2018, Accepted 28 January 2019, Available online 18 February 2019, Version of Record 18 February 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.01.064