Process Dynamic Modelling Using Continuous Time Local Model Networks

Loone, Séamus Mc; Irwin, G.W.

doi:10.1016/s1474-6670(17)42149-5

Cited by 3 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular Leith and Leithead [4] show analytically that the dynamics of the LM network are only weakly related to the underlying local models. One reason is that most LM network applications [5,6] employ affine local models [7] which, being nonlinear, do not provide continuity with established linear theory and also detract from the transparency of the overall network.…”

Section: Introductionmentioning

confidence: 99%

On Velocity‐Based Local Model Networks For Nonlinear Identification

McLoone

Irwin

2003

Asian Journal of Control

View full text Add to dashboard Cite

This paper exposes the strengths and weaknesses of the recently proposed velocity-based local model (LM) network. The global dynamics of the velocity-based blended representation are directly related to the dynamics of the underlying local models, an important property in the design of local controller networks. Furthermore, the sub-models are continuous-time and linear providing continuity with established linear theory and methods. This is not true for the conventional LM framework, where the global dynamics are only weakly related to the affine sub-models. In this paper, a velocity-based multiple model network is identified for a highly nonlinear dynamical system. The results show excellent dynamical modelling performances, highlighting the value of the velocity-based approach for the design and analysis of LM based control. Three important practical issues are also addressed. These relate to the blending of the velocity-based local models, the use of normalised Gaussian basis functions and the requirement of an input derivative.

show abstract

Section: Introductionmentioning

confidence: 99%

On Velocity‐Based Local Model Networks For Nonlinear Identification

McLoone

Irwin

2003

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

Blending Local Models within a Velocity-based Multiple Model Network

McLoone¹,

Irwin²,

McLoone³

2001

IFAC Proceedings Volumes

View full text Add to dashboard Cite

Velocity-based local model (LM) networks overcome many of the disadvantages of the conventional LM network approach. In the former, a set of velocity-based linear local models are interpolated using appropriate weighting functions whereas the latter employs affine local models. In contrast to the conventional network, the global dynamics of the velocity-based nonlinear model comprise a simple linear combination of the local model dynamics. This paper examines in detail the blending of local .nodels which is a key issue in the velocity-based approach. Various methods of blending the sub-models are studied and it is highlighted that only one of these is suitable.

show abstract

Multiple model networks in non-linear system modelling for control – a review

Gao¹,

O’Dwyer²

2002

View full text Add to dashboard Cite

Process Dynamic Modelling Using Continuous Time Local Model Networks

Cited by 3 publications

References 11 publications

On Velocity‐Based Local Model Networks For Nonlinear Identification

On Velocity‐Based Local Model Networks For Nonlinear Identification

Blending Local Models within a Velocity-based Multiple Model Network

Multiple model networks in non-linear system modelling for control – a review

Contact Info

Product

Resources

About