State and input simultaneous estimation for a class of nonlinear systems

Authors:
Q. P. Ha;H. Trinh
Affiliations:
Faculty of Engineering, ARC Centre of Excellence in Autonomous Systems (CAS), University of Technology, Level 24, Building 1, P.O. Box 123, Sydney, Broadway, NSW 2007, Australia;School of Engineering and Technology, Deakin University, Geelong 3217, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

This paper addresses the problem of estimating simultaneously the state and input of a class of nonlinear systems. Here, the systems nonlinear part comprises a Lipschitz nonlinear function with respect to the state and input, and a state-dependent unknown function including additive disturbance as well as uncertain/nonlinear/time-varying terms. Upon satisfying some conditions, the observer design problem can be solved via a Riccati inequality or a LMI-based technique with asymptotic estimation guaranteed. A numerical example is included for illustration.