Stable inversion of Abel equations: application to tracking control in DC-DC nonminimum phase boost converters

DOI10.1016/j.automatica.2010.10.035zbMath1209.93070OpenAlexW2120676886MaRDI QIDQ629080

Yuri B. Shtessel, Xavier Ros-Oton, Josep M. Olm

Publication date: 8 March 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2010.10.035

zbMATH Keywords

stable inversionAbel equationstracking controlswitched power converters

Mathematics Subject Classification ID

System identification (93B30) Application models in control theory (93C95) Periodic solutions to functional-differential equations (34K13) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

LPRS analysis of sliding mode buck converter ⋮ Control of fuel cell-based electric power system using adaptive sliding mode control and observation techniques ⋮ Sliding mode control of DC/DC converters ⋮ Transcendental Liouvillian solutions of first order nonlinear differential equations ⋮ PWM-based finite-time tracking of switched buck power converters ⋮ New general solutions to the Abel equation of the second kind using functional transformations ⋮ Numerical solution of Abel equation using operational matrix method with Chebyshev polynomials ⋮ Periodic solutions with nonconstant sign in Abel equations of the second kind

Cites Work

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• A functional iterative approach to the tracking control of nonminimum phase switched power converters
• Iterative approximation of limit cycles for a class of Abel equations
• Asymptotic tracking in DC-to-DC nonlinear power converters
• Sliding mode control of boost and buck-boost power converters using method of stable system centre.
• Galerkin method and approximate tracking in a non-minimum phase bilinear system
• DC-to-AC power conversion on a ‘boost’ converter
• Galerkin-based sliding mode tracking control of non-minimum phase DC-to-DC power converters
• Nonlinear inversion-based output tracking

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