Lin-Na Zhou, Chun-Yu Yang and Qing-Ling Zhang. Observers for Descriptor Systems with Slope-restricted Nonlinearities. International Journal of Automation and Computing, vol. 7, no. 4, pp. 472-478, 2010. DOI: 10.1007/s11633-010-0529-1
Citation: Lin-Na Zhou, Chun-Yu Yang and Qing-Ling Zhang. Observers for Descriptor Systems with Slope-restricted Nonlinearities. International Journal of Automation and Computing, vol. 7, no. 4, pp. 472-478, 2010. DOI: 10.1007/s11633-010-0529-1

Observers for Descriptor Systems with Slope-restricted Nonlinearities

  • This paper addresses the observer design problem for a class of nonlinear descriptor systems whose nonlinear terms are slope-restricted.The full-order observer is formulated as a nonlinear descriptor system.A linear matrix inequality (LMI) condition is derived to construct the full-order observer.The existence and uniqueness of the solution to the obtained observer system are guaranteed.Furthermore,under the same LMI condition and a common assumption,a reduced-order observer is designed.Finally,the design methods are reduced to a strict LMI problem and illustrated by a numerical example.
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