Global Finite-Time Observers for Lipschitz Nonlinear Systems

• Published in: IEEE transactions on automatic control Vol. 56; no. 2; pp. 418 - 424
• Main Authors: Yanjun Shen, Yuehua Huang, Gu, Jason
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-02-2011; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic stability; Automatic control; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Design engineering; Dynamical systems; Electronic mail; Exact sciences and technology; Finite-time stable; Homogeneity; Lyapunov method; Mathematical models; Modelling and identification; nonlinear system; Nonlinear systems; Nonlinearity; Observability; observer; Observers; Riccati equations; Stability; System theory; Stability; Finite-time stable; Non linear control; Control synthesis; nonlinear system; Non linear system; observer; Homogeneity; Lipschitz function; Time interval; System identification; Observability; Non linear observer
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2010.2088610

This technical note presents a global finite-time observer design for a class of systems with Lipschitz nonlinearity. By applying a finite-time stability theorem and a careful selection of the homogeneity powers and weights, the problem of global and finite-time stable observers is studied. An observer design procedure is given and a numerical example is provided to illustrate the design method.