Model reference robust adaptive control without a priori knowledge of the high frequency gain

Lozano-Leal, R.; Collado, Joaquı́n; Mondié, Sabine

doi:10.1109/9.45147

Cited by 93 publications

(14 citation statements)

References 10 publications

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“…, n À 1), the Nussbaum gain technique will be employed. The Nussbaum-type gain was firstly proposed in Nussbaum (1983) and then used for linear systems (Mudgett and Morse 1985), Martensson (1985) and non-linear systems (Martensson 1990;Lozano, Collado, and Mondie 1990;Kaloust and Qu 1995;Ye and Jiang 1998;Zhang, Wen and Soh 2000;Ge and Wang 2003;Ge et al 2004) In this paper, an even Nussbaum function N() ¼ 2 cos (), 2 R, is adopted for analyses and a technical lemma introduced in Ge et al (2004) will be utilised for the controller design.…”

Section: Problem Statementmentioning

confidence: 99%

Robust adaptive control for a class of perturbed strict-feedback non-linear systems with unknown Prandtl-Ishlinskii hysteresis

Feng

Rabbath

et al. 2008

International Journal of Control

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2008) Robust adaptive control for a class of perturbed strict-feedback non-linear systems with unknown PrandtlThis paper deals with robust adaptive control for a class of perturbed strict-feedback non-linear systems preceded by unknown hysteresis non-linearities. By using the Prandtl-Ishlinskii model with play and stop operators and the properties of this model, a robust adaptive control scheme is proposed to mitigate effects of the preceded hysteresis. The global uniform ultimate boundedness of the closed-loop system is achieved, and the effectiveness of the proposed control approach is demonstrated through simulation examples.

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Section: Problem Statementmentioning

confidence: 99%

Robust adaptive control for a class of perturbed strict-feedback non-linear systems with unknown Prandtl-Ishlinskii hysteresis

Feng

Rabbath

et al. 2008

International Journal of Control

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“…A modified least-squares algorithm that exhibits fast parameter convergence and robustness even under the effects of time delays usually present in digital implemented control systems has been presented in [10]. Based on [8], this solution also requires the modeled part of the plant to be nonminimum phase, a lower bound p o > 0 on the stability margin p > 0 for which the poles of ∆ m (s − p) are stable and an upper bound M 0 for kθ * k, where θ * is the desired control parameter vector.…”

Section: B Parameter Adaptation Algorithmmentioning

confidence: 99%

Adaptive Acceleration Control of an AC Power Source-Fed Electrodynamic Shaker

Flora

Gründling

2007

2007 IEEE Industry Applications Annual Meeting

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This paper proposes a novel sinusoidal acceleration controller for electrodynamic shakers driven by voltage-mode AC power sources (ACPS). The presented scheme is based on the interaction of two control loops: one for the shaker's acceleration regulation and another for the ACPS output voltage control. A robust model reference adaptive controller (RMRAC) is employed for both voltage and acceleration regulation. The zero-pole cancellations that could occur at the origin of the s-plane leading to unbounded signals within the acceleration closed-loop operation are avoided by including the unstable zeros of the plant as part of the zeros of the reference model. The dynamic modeling of the electrodynamic shaker, the structure, design, digital implementation and the experimental feasibility of the acceleration controller are described in detail.

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“…The class of nonlinear system has been developed greatly since Mudgett and Morse [1] relaxed the assumption that the unknown multiplicative terms are not only sign-invariant but also have known signs. A method called correction vector approach was proposed by Lozano [2] and has been applied to design adaptive controller of first-order nonlinear systems with unknown control direction. Then, Kaloust and Qu [3] developed a robust controller for a general second nonlinear system.…”

Section: Introductionmentioning

confidence: 99%

“…Then from the above switching scheme, we can derive that there exists at least one identifier model j such that 2 2 min 1…”

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Logic-based switching control of a class of nonlinear system

2010

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In this note, a multiple model adaptive controller was developed for a class of nonlinear system which has unknown multiplicative terms. Unlike previous results, we do not require a priori knowledge on the unknown control directions. Our proposed adaptive controller is a switching-type controller which can re-initialize its estimate parameters via a switching scheme. Therefore, the unknown control directions can be identified quickly, so that the control law can work on the right way. Global asymptotic stability of the closed-loop switching system is proved.

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Model reference robust adaptive control without a priori knowledge of the high frequency gain

Cited by 93 publications

References 10 publications

Robust adaptive control for a class of perturbed strict-feedback non-linear systems with unknown Prandtl-Ishlinskii hysteresis

Robust adaptive control for a class of perturbed strict-feedback non-linear systems with unknown Prandtl-Ishlinskii hysteresis

Adaptive Acceleration Control of an AC Power Source-Fed Electrodynamic Shaker

Logic-based switching control of a class of nonlinear system

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