H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties
This paper investigates H ∞ control for a class of nonlinear systems with time-varying delays and convex polytopic uncertainties. A new type of parameter-dependent Lyapunov-Krasovskii functional is introduced to derive delay-dependent sufficient conditions for the H ∞ optimal control with exponent...
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th-cmuir.6653943832-432922017-09-28T06:53:42Z H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties Niamsup P. Phat V. This paper investigates H ∞ control for a class of nonlinear systems with time-varying delays and convex polytopic uncertainties. A new type of parameter-dependent Lyapunov-Krasovskii functional is introduced to derive delay-dependent sufficient conditions for the H ∞ optimal control with exponential stability. All the conditions developed in this paper are formulated in terms of linear matrix inequalities. Finally, a numerical example shows the effectiveness of the proposed methodology. © 2010 Elsevier Ltd. All rights reserved. 2017-09-28T06:53:42Z 2017-09-28T06:53:42Z 2010-06-01 Journal 0362546X 2-s2.0-77949492078 10.1016/j.na.2010.02.001 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77949492078&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43292 |
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This paper investigates H ∞ control for a class of nonlinear systems with time-varying delays and convex polytopic uncertainties. A new type of parameter-dependent Lyapunov-Krasovskii functional is introduced to derive delay-dependent sufficient conditions for the H ∞ optimal control with exponential stability. All the conditions developed in this paper are formulated in terms of linear matrix inequalities. Finally, a numerical example shows the effectiveness of the proposed methodology. © 2010 Elsevier Ltd. All rights reserved. |
| format |
Journal |
| author |
Niamsup P. Phat V. |
| spellingShingle |
Niamsup P. Phat V. H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties |
| author_facet |
Niamsup P. Phat V. |
| author_sort |
Niamsup P. |
| title |
H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties |
| title_short |
H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties |
| title_full |
H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties |
| title_fullStr |
H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties |
| title_full_unstemmed |
H<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties |
| title_sort |
h<inf>∞</inf> control for nonlinear time-varying delay systems with convex polytopic uncertainties |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77949492078&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43292 |
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