Identification of a Duffing oscillator under different types of excitation.
Gandino, E., Marchesiello, S. (2010)
Mathematical Problems in Engineering
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Gandino, E., Marchesiello, S. (2010)
Mathematical Problems in Engineering
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Jürgen Ackermann, Tilman Bünte (1999)
Kybernetika
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Considerable safety benefits are achieved by robustly decoupling the lateral and yaw motions of a car with active steering. Robust unilateral decoupling requires an actuator to generate an additional front wheel steering angle. However, introducing actuators to closed loop systems may cause limit cycles due to actuator saturation and rate limits. Such limit cycles are intolerable w.r.t. safety and comfort. By introducing a simple nonlinear modification of the control law, this paper...
Benoît Schwaller, Denis Ensminger, Birgitta Dresp-Langley, José Ragot (2013)
International Journal of Applied Mathematics and Computer Science
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We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin's damping criterion permits synthesizing gains in an algebraically simple and efficient...
Anna Witkowska, Mirosław Tomera, Roman Smierzchalski (2007)
International Journal of Applied Mathematics and Computer Science
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As an object of course control, the ship is characterised by a nonlinear function describing static manoeuvring characteristics that reflect the steady-state relation between the rudder deflection and the rate of turn of the hull. One of the methods which can be used for designing a nonlinear ship course controller is the backstepping method. It is used here for designing two configurations of nonlinear controllers, which are then applied to ship course control. The parameters of the...
Tlustý, Josef, Škramlík, Jiří, Švec, Jan, Valouch, Viktor (2010)
Mathematical Problems in Engineering
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Soraya Mareishi, Hamed Kalhori, Mohammad Rafiee, Seyedeh Marzieh Hosseini (2015)
Curved and Layered Structures
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This paper presents an analytical solution for nonlinear free and forced vibration response of smart laminated nano-composite beams resting on nonlinear elastic foundation and under external harmonic excitation. The structure is under a temperature change and an electric excitation through the piezoelectric layers. Different distribution patterns of the single walled aligned and straight carbon nanotubes (SWCNTs) through the thickness of the beam are considered. The beam complies with...
Arvo Kaldmäe, Ülle Kotta (2018)
Kybernetika
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In this paper necessary and sufficient conditions are given which guarantee that there exists a realization of a set of nonlinear higher order differential input-output equations in the controller canonical form. Two cases are studied, corresponding respectively to linear and nonlinear output functions. The conditions are formulated in terms of certain sequence of vector spaces of differential 1-forms. The proofs suggest how to construct the transformations, necessary to obtain the specific...
Carlos Armenta, Jorge Álvarez, Raymundo Márquez, Miguel Bernal (2019)
Kybernetika
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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...
Juan C. Travieso-Torres, Manuel A. Duarte-Mermoud, Petr Zagalak (2009)
Kybernetika
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A cascade scheme for passivity-based stabilization of a wide class of nonlinear systems is proposed in this paper. Starting from the definitions and basic concepts of passivity-based stabilization via feedback (which are applicable to minimum phase nonlinear systems expressed in their normal forms) a cascade stabilization scheme is proposed for minimum and non-minimum phase nonlinear systems where the constraint of stable zero dynamics imposed by previous stabilization approaches is...