Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls
© 2018, The Author(s). This paper presents a new guaranteed cost control for exponential stability of a nonlinear system with mixed time-delays in state and feedback control. The considered mixed time-delays are both discrete and distributed time-varying delays, but not necessarily differentiable. T...
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th-cmuir.6653943832-629752018-12-14T04:01:42Z Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls Nuchira Khongja Thongchai Botmart Piyapong Niamsup Wajaree Weera Mathematics © 2018, The Author(s). This paper presents a new guaranteed cost control for exponential stability of a nonlinear system with mixed time-delays in state and feedback control. The considered mixed time-delays are both discrete and distributed time-varying delays, but not necessarily differentiable. The proposed conditions allow us to design the state feedback controllers which stabilize the closed-loop system. By constructing an appropriate Lyapunov–Krasovskii functional, new delay-dependent sufficient conditions for the existence of guaranteed cost control are given in terms of linear matrix inequalities (LMIs). Moreover, we design new quadratic cost functions and minimize their upper bound. Finally, numerical examples are given to illustrate the effectiveness and improvement over some existing results in the literature. 2018-12-14T04:01:42Z 2018-12-14T04:01:42Z 2018-12-01 Journal 16871847 16871839 2-s2.0-85057168284 10.1186/s13662-018-1898-y https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85057168284&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62975 |
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Mathematics Nuchira Khongja Thongchai Botmart Piyapong Niamsup Wajaree Weera Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
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© 2018, The Author(s). This paper presents a new guaranteed cost control for exponential stability of a nonlinear system with mixed time-delays in state and feedback control. The considered mixed time-delays are both discrete and distributed time-varying delays, but not necessarily differentiable. The proposed conditions allow us to design the state feedback controllers which stabilize the closed-loop system. By constructing an appropriate Lyapunov–Krasovskii functional, new delay-dependent sufficient conditions for the existence of guaranteed cost control are given in terms of linear matrix inequalities (LMIs). Moreover, we design new quadratic cost functions and minimize their upper bound. Finally, numerical examples are given to illustrate the effectiveness and improvement over some existing results in the literature. |
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Nuchira Khongja Thongchai Botmart Piyapong Niamsup Wajaree Weera |
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Nuchira Khongja Thongchai Botmart Piyapong Niamsup Wajaree Weera |
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Nuchira Khongja |
title |
Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
title_short |
Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
title_full |
Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
title_fullStr |
Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
title_full_unstemmed |
Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
title_sort |
guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
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2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85057168284&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62975 |
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1681425906238750720 |