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Title
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A novel delay-range-dependent observer-based control approach for one-sided Lipschitz systems under measurement delays
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Sub-Title |
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Subject |
"Estimation-based design; Nonlinear control; One-sided Lipschitz nonlinearity; Wirtinger's inequality; Delay-range-dependent stability"
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Sub-Subject |
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Author |
Usama Bin Waseem, Fatima Tahir, Muhammad Rehan, So
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Publish Year |
2021 |
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Supervisor |
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Diss#. |
10.1016/j.ejcon.2021.06.002 |
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Chapters |
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Pages |
24-39 |
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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 presents the observer-based control methodology for the one-sided Lipschitz (OSL) nonlin- ear systems over measurement delays. A controller design method, based on the estimated states, has been provided by applying the Lyapunov-Krasovskii functional for the delayed dynamics and by inserting the OSL constraint and quadratic inner-boundedness condition. The stability of the resultant delayed dy- namics is achieved through the delay-range-dependent approach, and derivative of Lyapunov functional is exploited through the Wirtinger’s integral inequality approach to reduce the conservatism of the con- ventional Jensen’s inequality scheme. Further, a necessary and sufficient solution for the main design method has been provided by employing a tedious decoupling technique to render the observer and controller gains, simultaneously, by using the recursive optimization tools. Furthermore, the solution of matrix inequality-oriented results is handled via the cone complementary lineari
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