首页|Co-design of state-dependent switching law and control scheme for variable-order fractional nonlinear switched systems
Co-design of state-dependent switching law and control scheme for variable-order fractional nonlinear switched systems
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NSTL
Elsevier
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. (C) 2021 Elsevier Inc. All rights reserved.
NSTL
Elsevier
