A note on polynomial chaos expansions for designing a linear feedback control for nonlinear systems

This paper presents a polynomial chaos-based framework for designing optimal linear feedback control laws for nonlinear systems with stochastic parametric uncertainty. The spectral decomposition of the original stochastic dynamical model in an orthogonal polynomial basis, prescribed by the Wiener–As...

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Veröffentlicht in:	Nonlinear dynamics 2017-02, Vol.87 (3), p.1653-1666
Hauptverfasser:	Pereira, Mateus de Freitas Virgílio, Balthazar, José Manoel, dos Santos, Davi Antônio, Tusset, Angelo Marcelo, de Castro, Davi Ferreira, Prado, Igor Afonso Acampora
Format:	Artikel
Sprache:	eng
Schlagworte:	Automotive Engineering Chaos theory Classical Mechanics Computer simulation Control Control stability Control systems Control theory Duffing oscillators Dynamic models Dynamical Systems Engineering Feedback control Initial conditions Linear control Mechanical Engineering Nonlinear control Nonlinear dynamics Nonlinear systems Optimization Orbits Original Paper Parameter uncertainty Polynomials Stochasticity Synchronism Vibration
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