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Title
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Robust generalized observer design for uncertain one-sided Lipschitz systems
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Sub-Title |
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Subject |
"Singular systems; One-sided Lipschitz nonlinearity; Quadratic inner-boundedness; Observer design Uncertain systems"
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Sub-Subject |
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Author |
B. Shaheen, M.S. Nazir, M. Rehan and S. Ahmad
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Publish Year |
2019 |
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Diss#. |
10.1016/j.amc.2019.124588 |
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Pages |
124-588 |
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Text Language |
English |
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Accession |
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Library Section |
Research Article |
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Abstract |
This paper develops a novel generalized observer design approach for the uncertain descriptor systems with one-sided Lipschitz nonlinearities, parametric uncertainties, and external perturbations. The nonlinearities, uncertainties, and external perturbations are considered both in input and output equations to consider a matter-of-fact observer design. A generalized structure for the observer is employed to deal with a large number of systems, considering both non-singular and singular systems. The proposed observer scheme is based on non-strict and strict linear matrix inequalities (LMIs), which are derived using the concepts of generalized Lyapunov theory, uncertainty bounds, quadratic inner-boundedness, one-sided Lipschitz condition, matrix transformations, and L2 gain minimization criteria. The proposed state filtering approach is robust for disturbances with asymptotically stable estimation error dynamics under zero external perturbations and attenuation of disturbance effects to
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