Co-design of state-dependent switching law and control scheme for variable-order fractional nonlinear switched systems

Xiao Peng, Yijing Wang and Zhiqiang Zuo

Applied Mathematics and Computation, 2022, vol. 415, issue C

Abstract: This paper deals with the stabilization problem for non-smooth variable-order Riemann-Liouville fractional switched systems with all modes unstable in the presence of unknown nonlinearity. A controller containing the discontinuous switching item and Riemann-Liouville fractional-order derivative term is firstly designed. By applying fractional order calculation, non-smooth analysis theory and Lyapunov stability theory, some criteria are established under the joint design of controller and state-dependent switching law. An application to variable-order fractional switched permanent magnet synchronous motors is demonstrated and relevant numerical simulations for considered system are given to verify the validity of our designed scheme.

Keywords: Variable-order switched systems; State-dependent switching law; Unknown nonlinearity; Unstable modes; Filippov solution (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007827

DOI: 10.1016/j.amc.2021.126725

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