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An immersion and invariance algorithm for a differential algebric system

Abstract : A stability result based on the Immersion and Invariance control strategy is derived for a class of systems described by differential equations with algebraic constraints. The result is then applied to synthesize a stabilizing control law for a two machine electrical power system with a controllable series capacitor (CSC). The dynamics of the two-machine system is given by differential equations and the active power balance at the load buses is given by algebraic equations. The CSC dynamics is described by a first order differential equation.
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Contributor : Myriam Baverel <>
Submitted on : Wednesday, January 16, 2013 - 9:22:35 AM
Last modification on : Wednesday, September 16, 2020 - 4:43:58 PM

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N.S. Manjarekar, R.N. Banavar, Roméo Ortega. An immersion and invariance algorithm for a differential algebric system. European Journal of Control, Elsevier, 2012, 18 (2), pp.145-157. ⟨10.3166/ejc.18.145-€“157⟩. ⟨hal-00776686⟩

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