Control of wing-rock motion of slender delta wings

Jia, Luo; Lan, C. E.

doi:10.2514/3.20993

Cited by 63 publications

(19 citation statements)

References 6 publications

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“…oscillatory rolling motion in the presence of some initial disturbance in slender delta wings that needs to be prevented. The problem has gained considerable attention owing to its practical importance and to this end, various approaches have been presented in the literature for the control of the wing-rock motion (Luo and Lan 1993;Singh, Yim, and Wells 1995;Monahemi and Krstic 1996;Araujo and Singh 1998). In general, the controllers designed on the International Journal of Control 975 assumption of knowledge of the aerodynamic parameters will not offer satisfactory performance in the presence of uncertainty and modelling inaccuracies.…”

Section: Illustrative Example: Control Of Wing-rock Motionmentioning

confidence: 99%

Design and experimental validation of UDE based controller--observer structure for robust input--output linearisation

Talole

Chandar

Kolhe

2011

International Journal of Control

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In this work, uncertainty and disturbance estimation (UDE) technique is employed to robustify an input-output linearisation (IOL) controller. An IOL controller designed for a nominal system is augmented by the UDE estimated uncertainties to achieve robustness. In doing so, state dependent nonlinearities of the system are treated as a part of the uncertainties and thus, the controller does not require system states for its implementation. The resulting controller, however, needs derivatives of the output. To address the issue, a design of an observer that employs the UDE estimated uncertainties for robustness is proposed giving rise to the UDE based controller-observer structure. Closed loop stability of the overall system is established. The notable feature of the proposed design is that it neither requires accurate plant model nor system states or derivatives of output. Also the approach does not need any information about the uncertainty. To demonstrate the effectiveness, numerical simulation results of the proposed approach as applied to the wing-rock motion control problem are presented. Lastly, hardware implementation of the UDE based controller-observer structure for motion control of Quanser's DC servo motion control platform is carried out and it is shown that the proposed strategy offers a viable approach for designing implementable robust IOL controllers.

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Section: Illustrative Example: Control Of Wing-rock Motionmentioning

confidence: 99%

Design and experimental validation of UDE based controller--observer structure for robust input--output linearisation

Talole

Chandar

Kolhe

2011

International Journal of Control

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“…(9) contains a numerical approximation to the disturbance. This information can be used to correct the control input into the system using the relation 8 (13) whereū represents the nominal control input andẑ + represents the updated states of the disturbance process. There is a time delay present in this formulation because the measurement vector, Y k , must be given before the disturbance in the system can be updated using Eq.…”

Section: Disturbance Accommodating Controller For Nonlinear Systementioning

confidence: 99%

Sensitivity Analysis of Disturbance Accommodating Control with Kalman Filter Estimation

Georgeand

2007

AIAA Guidance, Navigation and Control Conference and Exhibit

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The design of controllers that can automatically compensate the effects of uncertain disturbances in a system has become an important topic in modern control engineering. The general theory of disturbance accommodating control provides a method for designing feedback controllers which automatically detect and minimizes the effect of waveformstructured disturbances. This approach has been applied on linear systems with small modeling errors and uncertainties. Based on the disturbance accommodating control theory, a control technique for nonlinear systems with time-varying modeling errors and uncertainties is presented in this paper. This control approach exploits an Extended Kalman Filter for the simultaneous estimation of the system states and the uncertain disturbances. Validity of this control approach is verified by implementing the proposed technique on a highly nonlinear wing-rock system. The simulation results indicated that the closed-loop stability of the controlled system is extremely sensitive to the user selected process noise covariance value. A Lyapunov stability analysis is conducted on a controlled linear system, which reveals a lower bound requirement on the process noise covariance norm to facilitate the asymptotic stability of the closed-loop system. This lower bound on the process noise covariance norm depends on the model uncertainties, external disturbances and the amount of noise associated with the measurements.

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“…Though fuzzy control has been successfully applied in many applications but due to the lack of formal synthesis techniques that can guarantee the system stability, it has not been viewed as a rigorous technique. An optimal feedback control based design for wing rock is presented in [17]. The results show that an effective way to suppress wing rock is to control the roll rate.…”

Section: Introductionmentioning

confidence: 97%

Adaptive control of wing rock system in uncertain environment using contraction theory

Sharma

Kar

2008

2008 American Control Conference

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Contraction theory is used to study stability based on differential and incremental behaviour of trajectories of a system with respect to each other. Application of contraction theory provides a platform to analyze the exponential stability of nonlinear systems. This paper considers the design of a control law for wing rock system using contraction theory principles. An adaptive control design approach based on contraction theory is proposed for controlling the dynamics of such systems for the cases with and without uncertainty in parameters. An adaptive control law along with parameter updation law is derived for uncertain wing rock system to achieve convergence of trajectories of actual system to that of desired system. The analysis made in the paper leads to quite simple results avoiding complexities involved with Lyapunov method. Finally numerical simulations are presented to justify the effectiveness of the proposed controller.

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Control of wing-rock motion of slender delta wings

Cited by 63 publications

References 6 publications

Design and experimental validation of UDE based controller--observer structure for robust input--output linearisation

Design and experimental validation of UDE based controller--observer structure for robust input--output linearisation

Sensitivity Analysis of Disturbance Accommodating Control with Kalman Filter Estimation

Adaptive control of wing rock system in uncertain environment using contraction theory

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