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On continuous boundary time-varying feedbacks for fixed-time stabilization of coupled reaction-diffusion systems
Abstract : This paper considers the problem of finite-time stabilization of coupled reaction-diffusion partial differential equations by means of boundary time-varying feedbacks; moreover, the time of convergence can be prescribed in the design. The design of time-varying feedbacks is carried out based on the backstepping approach. Selecting a suitable target system with time varying-coefficients, the resulting kernel of the backstepping transformation is time-varying which provides the control feedback to be time-varying as well. The target system turns out to be fixed-time stable and two cases for the control design are pointed out in order to obtain either boundedness or fixed-time convergence of the original system. A simulation example is presented to illustrate the results.
Cited literature [26 references]
https://hal.inria.fr/hal-01892409
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Wednesday, October 10, 2018 - 3:47:35 PM
Last modification on : Friday, February 4, 2022 - 3:17:58 AM
Long-term archiving on: : Friday, January 11, 2019 - 4:26:54 PM
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Wednesday, October 10, 2018 - 3:47:35 PM
Last modification on : Friday, February 4, 2022 - 3:17:58 AM
Long-term archiving on: : Friday, January 11, 2019 - 4:26:54 PM
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CDC18_1321_FI.pdf
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