Geodesic
A practical solution to implement nonlinear output regulation via dynamic mappings
Kybernetika, Tome 55 (2019) no. 2, pp. 385-401
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This paper presents a novel error-feedback practical solution for real-time implementation of nonlinear output regulation. Sufficient and necessary conditions for both state- and error-feedback output regulation have been established for linear and nonlinear systems several decades ago. In their most general form, these solutions require solving a set of nonlinear partial differential equations, which may be hard or even impossible to solve analytically. In recent years, a methodology for dynamic calculation of the mappings required for state-feedback regulation has been put forward; following the latter, an error-feedback extension is hereby provided which, when combined with design conditions in the form of linear matrix inequalities, becomes suitable for real-time setups. Real-time results are presented for a nonlinear twin rotor MIMO system. Issues concerning the implementation as well as the solutions adopted, are discussed.
This paper presents a novel error-feedback practical solution for real-time implementation of nonlinear output regulation. Sufficient and necessary conditions for both state- and error-feedback output regulation have been established for linear and nonlinear systems several decades ago. In their most general form, these solutions require solving a set of nonlinear partial differential equations, which may be hard or even impossible to solve analytically. In recent years, a methodology for dynamic calculation of the mappings required for state-feedback regulation has been put forward; following the latter, an error-feedback extension is hereby provided which, when combined with design conditions in the form of linear matrix inequalities, becomes suitable for real-time setups. Real-time results are presented for a nonlinear twin rotor MIMO system. Issues concerning the implementation as well as the solutions adopted, are discussed.
DOI : 10.14736/kyb-2019-2-0385
Classification : 93C10, 93C95, 93D05
Keywords: nonlinear output regulation; linear matrix inequality; twin rotor; real-time 
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Armenta, Carlos; Álvarez, Jorge; Márquez, Raymundo; Bernal, Miguel. A practical solution to implement nonlinear output regulation via dynamic mappings. Kybernetika, Tome 55 (2019) no. 2, pp. 385-401. doi: 10.14736/kyb-2019-2-0385

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