2004
DOI: 10.1063/1.1755178
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Presliding friction identification based upon the Maxwell Slip model structure

Abstract: The problem of presliding friction identification based upon the Maxwell Slip model structure, which is capable of accounting for the presliding hysteresis with nonlocal memory, is considered. The model structure's basic properties are examined, based upon which a priori identifiability is established, the role of initial conditions on identification is investigated, and the necessary and sufficient conditions for a posteriori identifiability are derived. Using them, guidelines for excitation signal design are… Show more

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Cited by 47 publications
(19 citation statements)
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“…However, the genetic algorithm is computationally expensive and requires prior knowledge of the approximate ranges of parameters. In [27], and [28], the estimation of model parameters is divided into two phases. The initial optimization phase explored large areas of the parameter space, and then, a fine optimization phase refined the estimated results.…”
Section: Break-away Friction Ratio Estimationmentioning
confidence: 99%
“…However, the genetic algorithm is computationally expensive and requires prior knowledge of the approximate ranges of parameters. In [27], and [28], the estimation of model parameters is divided into two phases. The initial optimization phase explored large areas of the parameter space, and then, a fine optimization phase refined the estimated results.…”
Section: Break-away Friction Ratio Estimationmentioning
confidence: 99%
“…When the element sticks, its position is fixed and the spring deformation d j increases, until its maximum value D j is reached, as a result of which the element slips. Following Rizos and Fassois [39], the state equation for each element can be written in a dense way for both regimes as in Eq. 1:…”
Section: The Contact Scenariomentioning
confidence: 99%
“…Consider the rate-independent semilinear Duhem model (6), (7), where u : [0, ∞) → [u min , u max ] is continuous, piecewise C 1 , and periodic with period α and has exactly one local maximum u max in [0, α) and exactly one local minimum u min in [0, α). Furthermore, define β u max − u min , and assume that ρ(e βA + e −βA − ) < 1.…”
Section: Theoremmentioning
confidence: 99%
“…Understanding presliding friction is useful for high precision motion control applications. For example, hysteresis can occur between the presliding friction force input and the displacement output [7], [11], [12].…”
mentioning
confidence: 99%