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An Exact Robust Dif...
An Exact Robust Differentiator Based on Continuous Fractional Sliding Modes
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Jonathan Muñoz-Vázquez, Aldo (author)
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- Vázquez-Aguilera, Carlos (author)
- Umeå universitet,Institutionen för tillämpad fysik och elektronik
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Parra-Vega, Vicente (author)
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Sánchez-Orta, Anand (author)
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(creator_code:org_t)
- 2018-04-30
- 2018
- English.
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In: Journal of Dynamic Systems Measurement, and Control. - : American Society of Mechanical Engineers (ASME). - 0022-0434 .- 1528-9028. ; 140:9
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- The problem addressed in this paper is the online differentiation of a signal/function that possesses a continuous but not necessarily differentiable derivative. In the realm of (integer) high-order sliding modes, a continuous differentiator provides the exact estimation of the derivative f(over dot)(t), of f(t), by assuming the boundedness of its second-order derivative, f(over double dot)(t), but it has been pointed out that if f(over dot)(t) is casted as a Holder function, then fotthorn is continuous but not necessarily differentiable, and as a consequence, the existence of f(over dot)(t) is not guaranteed, but even in such a case, the derivative of f(t) can be exactly estimated by means of a continuous fractional sliding mode-based differentiator. Then, the properties of fractional sliding modes, as exact differentiators, are studied. The novelty of the proposed differentiator is twofold: (i) it is continuous, and (ii) it provides the finite-time exact estimation of f(over dot)(t), even if fotthorn does not exist. A numerical study is discussed to show the reliability of the proposed scheme.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Keyword
- robust exact differentiator
- fractional sliding modes
- Holder functions
- nonlinear systems
Publication and Content Type
- ref (subject category)
- art (subject category)
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