On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties
This paper is concerned with the problem of robust H∞ filter design for switched linear discrete-time systems with polytopic uncertainties. The condition of being robustly asymptotically stable for uncertain switched system and less conservative H∞ noise-attenuation level bounds are obtained by homo...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/271765 |
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| _version_ | 1832555077129207808 |
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| author | Guochen Pang Kanjian Zhang |
| author_facet | Guochen Pang Kanjian Zhang |
| author_sort | Guochen Pang |
| collection | DOAJ |
| description | This paper is concerned with the problem of robust H∞ filter design for switched linear discrete-time systems with polytopic uncertainties. The condition of being robustly asymptotically stable for uncertain switched system and less conservative H∞ noise-attenuation level bounds are obtained by homogeneous parameter-dependent quadratic Lyapunov function. Moreover, a more feasible and effective method against the variations of uncertain parameter robust switched linear filter is designed under the given arbitrary switching signal. Lastly, simulation results are used to illustrate the effectiveness of our method. |
| format | Article |
| id | doaj-art-d20b70c32d874ee0be97617c180e8a7e |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d20b70c32d874ee0be97617c180e8a7e2025-02-03T05:49:46ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/271765271765On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic UncertaintiesGuochen Pang0Kanjian Zhang1Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, ChinaKey Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, ChinaThis paper is concerned with the problem of robust H∞ filter design for switched linear discrete-time systems with polytopic uncertainties. The condition of being robustly asymptotically stable for uncertain switched system and less conservative H∞ noise-attenuation level bounds are obtained by homogeneous parameter-dependent quadratic Lyapunov function. Moreover, a more feasible and effective method against the variations of uncertain parameter robust switched linear filter is designed under the given arbitrary switching signal. Lastly, simulation results are used to illustrate the effectiveness of our method.http://dx.doi.org/10.1155/2015/271765 |
| spellingShingle | Guochen Pang Kanjian Zhang On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties Advances in Mathematical Physics |
| title | On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties |
| title_full | On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties |
| title_fullStr | On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties |
| title_full_unstemmed | On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties |
| title_short | On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties |
| title_sort | on homogeneous parameter dependent quadratic lyapunov function for robust h∞ filtering design in switched linear discrete time systems with polytopic uncertainties |
| url | http://dx.doi.org/10.1155/2015/271765 |
| work_keys_str_mv | AT guochenpang onhomogeneousparameterdependentquadraticlyapunovfunctionforrobusthfilteringdesigninswitchedlineardiscretetimesystemswithpolytopicuncertainties AT kanjianzhang onhomogeneousparameterdependentquadraticlyapunovfunctionforrobusthfilteringdesigninswitchedlineardiscretetimesystemswithpolytopicuncertainties |