Journal
AUTOMATICA
Volume 49, Issue 2, Pages 601-609Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2012.11.036
Keywords
Finite-time convergent observer; Time-varying nonlinear system; Homogeneous domination approach
Funding
- U.S. NSF [HRD-0932339]
- Natural Science Foundation of China [61074013]
- Program for New Century Excellent Talents in University [NCET-10-0328]
- Fundamental Research Funds for the Central Universities of China [2012HGBZ0205, 2012HGQC0002]
- China Postdoctoral Science Foundation [2012M521217]
- Division Of Human Resource Development
- Direct For Education and Human Resources [0932339] Funding Source: National Science Foundation
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This paper considers the problem of designing globally finite-time convergent observers for a class of nonlinear systems with time-varying and output-dependent coefficients, which make the existing design approaches inapplicable. To solve this problem, a bottom-up design approach is first employed to recursively construct a finite-time convergent observer with time-varying coefficients for the nominal system. Then, using the homogeneous domination approach, we scale the finite-time convergent observer with an appropriate choice of gain for the original nonlinear system satisfying a Holder condition. In addition, we show that the Holder condition imposed on the nonlinearities can be removed for nonlinear systems with bounded trajectories. (C) 2012 Elsevier Ltd. All rights reserved.
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