Static gain estimation for nonlinear dynamic systems from steady-state values hidden in historical data

Wang, Jiandong; Wei, Mingyao; Xing, Xiaotong

doi:10.1016/j.isatra.2021.03.007

Search citation statements

Order By: Relevance

Paper Sections

Select...

Stability Of the Wiener Simulation Error1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Other1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The performance is assessed using (16), when wienerization based control is used, and e l (t) = y(t) − y l (t), when linear control is used.…”

Section: Stability Of the Wiener Simulation Errormentioning

confidence: 99%

See 1 more Smart Citation

Wienerization of systems in nonlinear control canonical normal form

Engmark

Bjorkoy

Rasheed

et al. 2022

2022 IEEE 61st Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

We extend the concept of model approximation via wienerization to systems in nonlinear control canonical normal form. We elaborate on the conditions for, and implications of, analytically separating nonlinear input affine dynamical systems in state space form in a static part plus a dynamic one. In doing so, we discuss under which conditions Wiener models may approximate the resulting models well. More precisely, we report that a specific bijective transformation of the original nonlinear model will separate the system into a multidimensional state space structure for which it is possible to compare nonlinear Wiener control against linear control for underactuated nonlinear systems. We finally assess how the former type of control has better closed-loop performance than the latter by means of quantitative examples.

show abstract

“…The performance is assessed using (16), when wienerization based control is used, and e l (t) = y(t) − y l (t), when linear control is used.…”

Section: Stability Of the Wiener Simulation Errormentioning

confidence: 99%

“…This is also the case here, when relevant. One general and central problem when identifying Wiener models is static gain estimation, described in the recent work [16].…”

Section: Introductionmentioning

confidence: 99%