2000
DOI: 10.2514/2.4487
|View full text |Cite
|
Sign up to set email alerts
|

Nonlinear H Method for Control of Wing Rock Motions

Abstract: Control of the nonlinear wing rock motion of slender delta wings using a nonlinear H 1 robust method is presented. The wing rock motion is mathematically described by a nonlinear, ordinary differential equation with coef cients varying with angle of attack. In the time domain approach, the nonlinear H 1 robust control problem with state feedback is cast in terms of a Hamilton-Jacobi-Bellman inequality (HJBI). Assuming that the coef cients in the nonlinear equation of the wing rock motion satisfy a norm-bounded… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
16
0

Year Published

2003
2003
2020
2020

Publication Types

Select...
7
2

Relationship

1
8

Authors

Journals

citations
Cited by 25 publications
(16 citation statements)
references
References 34 publications
0
16
0
Order By: Relevance
“…At meantime, some other researchers tried nonlinear control strategies like Shue and Agarwal [20] who introduced a nonlinear H ∞ method for the control of wing rock motions. In [21], Abdulwahab and Hongquan achieved limit cycle prevention by adding a certain control function to the nonlinear dynamics of the wing-rock model; Zribi, et al [22] introduced a state transformation such that the transformed dynamic model is in a form which is suitable for a variety of control designs.…”
Section: Introductionmentioning
confidence: 99%
“…At meantime, some other researchers tried nonlinear control strategies like Shue and Agarwal [20] who introduced a nonlinear H ∞ method for the control of wing rock motions. In [21], Abdulwahab and Hongquan achieved limit cycle prevention by adding a certain control function to the nonlinear dynamics of the wing-rock model; Zribi, et al [22] introduced a state transformation such that the transformed dynamic model is in a form which is suitable for a variety of control designs.…”
Section: Introductionmentioning
confidence: 99%
“…In general the system in (19) can be written asẇ = f (w, t) where vector w = [e 1 z 1 ] T . Defining the virtual displacement for this system by δw, we get the following; (20) For transformed system, the Jacobian matrix J is defined as…”
Section: Controller Design For the System Without Uncertaintymentioning
confidence: 99%
“…Perfect ink@ee.iitd.ac.in rock mechanism in combat aircraft applications is still to be established. Several control strategies are being proposed to tackle this problem and some of them can be found in [15]- [19] and the references there in. In recent years, neural network based techniques have presented an alternative design methodology for identifying and control of dynamic systems [20]- [22].…”
Section: Introductionmentioning
confidence: 99%
“…A set of techniques for wing rock control have been proposed previously, namely, using linear parameter-varying controllers [20], nonlinear H ∞ method [21], adaptive control methods [22][23][24], etc. At the same time, when applied to a real system, the control algorithms can fail to ensure stability, and the validation stage could be considered as a very important part of the control design.…”
Section: Introductionmentioning
confidence: 99%