Adaptive Memoryless Sliding Mode Control of Uncertain Rössler Systems with Unknown Time Delays

Jun-Juh Yan and Hang-Hong Kuo
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Jun-Juh Yan: Department of Electronic Engineering, National Chin-Yi University of Technology, Taichung 41107, Taiwan
Hang-Hong Kuo: Department of Electronic Engineering, National Chin-Yi University of Technology, Taichung 41107, Taiwan

Mathematics, 2022, vol. 10, issue 11, 1-13

Abstract: In this paper, by adopting sliding mode control, an adaptive memoryless control scheme has been developed for uncertain Rössler chaotic systems with unknown time delays. Firstly, the proposed adaptive control can force the trajectories of controlled Rössler time-delayed chaotic systems into the specified sliding manifold. Then, the Riemann sum is introduced to analyze the stability of the equivalent dynamics in the sliding manifold. The control performance can be predicted even if the controlled systems have unmatched uncertainties and unknown time delays, which have not been well addressed in the literature. Numerical simulations are included to demonstrate the feasibility of the proposed scheme.

Keywords: unmatched uncertainties; sliding mode control; memoryless controller; uncertain Rössler chaotic systems; unknown time delays (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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