Transformation of a sensor or actuator system into a unitary gain element

Feijoo, J.A. Vázquez; Worden, Keith; Stanway, R.; Rodriguez, N. J.

doi:10.1016/j.ymssp.2007.03.008

Cited by 5 publications

(6 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The novelty in this series is in (5), which expresses the DC response of the system as a function of α. Considering (5)- (8), it is seen that the RHS in each case does not depend only on Volterra operators of lower order.…”

Section: The Ales For Systems With a DC Termmentioning

confidence: 99%

“…In reference [5], a number of Volterra systems were transformed into elements of unitary gain through the use of the Volterra inverse [6]. The Volterra inverse acts on the original system in two ways.…”

Section: Introductionmentioning

confidence: 99%

“…A second action is on the linear part of the system, as the first-order inverse operator is the inverse transfer function of the direct firstorder operator of the system, and therefore removes the inertia of the system (that manifest itself as an amplification of the signal at the output of the system) and compensates the system losses (that produces a phase angle delay). A detailed explanation is given in the reference [5]. The Volterra inverse is also capable of eliminating the transient response (once the initial conditions match between the direct and inverse systems).…”

Section: Introductionmentioning

confidence: 99%

“…However, when the Volterra inverse operators are obtained from the Associated Linear Equations (ALEs) of the direct system as in [5], this knowledge is unnecessary. In fact, the Volterra inverse can work with any kind of signal: random, periodic, white noise, etc.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Analysis and control of nonlinear systems with DC terms

et al. 2009

Self Cite

View full text Add to dashboard Cite

Although nonlinear systems with a DC term are quite often found, very little work has been done about the important effects that the DC term produces on the nonlinear system response.Some work can be found based on NARMAX model identification-this work identifies the system by NARMAX models and from them obtains the Higher-order Frequency Response Functions (HFRFs). From the HFRFs, the effects of the DC term on the nonlinear system can be predicted. This paper represents an extension of such a work; but here, other parametric models are used: the Associated Linear Equations (ALEs). This allows identification of the system directly from the frequency domain and the direct observation of the effect of the DC term. Because the model is parametric, it arguably allows one to explain the nonlinear system behaviour in a physical way.Also in this paper, the ALE-based identification scheme is extended to systems with DC, and it is explained how to construct Volterra inverses for such systems with the objective of implementing an openloop control of nonlinear systems.Unlike the situation for systems without DC, the pre-inverse and post-inverse Volterra systems differ from each other. In fact, the DC in the post-inverse cannot be eliminated in all the cases. The inverse strategies are tested on two simulated nonlinear systems: a Duffing oscillator and a Hammerstein model.

show abstract

Section: The Ales For Systems With a DC Termmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis and control of nonlinear systems with DC terms

et al. 2009

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the other hand, it has been proposed in (3) , a strategy of open loop control by means of the inverse of Volterra. The theoretical error is zero on no matter if the system is linear or continuous nonlinear.…”

Section: Introductionmentioning

confidence: 99%