Tracking Control of Limit Cycle Oscillations in an Aero-Elastic System

Bialy, Brendan; Pasiliao, Crystal L.; Dinh, Huyen T.; Dixon, Warren E.

doi:10.1115/1.4027946

Cited by 6 publications

(3 citation statements)

References 21 publications

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“…Hence, the tracking control of linear systems with a linear output function (LOF) and a nonlinear output function (NOF) is an important study topic in the field of control. There have been many researches aiming at the tracking-control problems for their wide applications in numerous fields of science and engineering [10][11][12]. The tracking control of the DI system, which is a typical dynamic system, has widely been investigated [1,5].…”

Section: Introductionmentioning

confidence: 99%

ZG Tracking Control of MI Systems

Zhang

Qiu

2020

Zhang-Gradient Control

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In this chapter, the tracking-control problems of multiple-integrator (MI) systems are investigated by using the ZG method. Several types of ZG controllers are presented for the tracking control of MI systems, e.g., triple-integrator (TI) systems. As an example, the design procedures of ZG controllers for TI systems with a linear output function (LOF) and a nonlinear output function (NOF) are presented. Corresponding theoretical analyses are given to guarantee the convergence performance of both z3g0 controllers and z3g1 controllers for TI systems. Computer simulations concerning the tracking control of MI systems with different types of output functions are further performed to substantiate the feasibility and efficacy of ZG controllers for tracking-control problem solving. Moreover, comparative simulation results for tracking control of MI systems with NOFs substantiate that the zmg1 controllers can effectively conquer the DBZ problem with m being the times of using the ZD method.

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Section: Introductionmentioning

confidence: 99%

ZG Tracking Control of MI Systems

Zhang

Qiu

2020

Zhang-Gradient Control

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“…The problem of suppression of nonlinear aeroelastic vibrations of controls using the controllers based on the classical linear methods, such as linear quadratic regulator (LQR), linear quadratic gauss (LQG) and robust H ∞ method, was pursued in many papers (Lavretsky and Wise, 2013; Dowel, 2015). A significant progress in the area of active suppression of aeroelastic vibrations, both theoretical and experimental, has been made recently, see Block and Strganac (1998); Ko et al (1998); Clark et al (2000); Frampton and Clark (2000); Bialy et al (2014); and Jiffri et al (2017 ).…”

Section: Introductionmentioning

confidence: 99%

Suppression of nonlinear aeroelastic vibrations by learned neural network controller

Dul

2019

AEAT

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Purpose The purpose of the paper is to analyze the active suppression of the aeroelastic vibrations of ailerons with strongly nonlinear characteristics by neural network/reinforcement learning (NN/RL) control method and comparing it with the classic robust methods of suppression. Design/methodology/approach The flexible wing and aileron with hysteresis nonlinearity is treated as a plant-controller system and NN/RL and robust controller are used to suppress the nonlinear aeroelastic vibrations of aileron. The simulation approach is used for analyzing the efficiency of both types of methods in suppressing of such vibrations. Findings The analysis shows that the NN/RL controller is able to suppress the nonlinear vibrations of aileron much better than linear robust method, although its efficiency depends essentially on the NN topology as well as on the RL strategy. Research limitations/implications Only numerical analysis was carried out; thus, the proposed solution is of theoretical value, and its application to the real suppression of aeroelastic vibrations requires further research. Practical implications The work shows the NN/RL method has a great potential in improving suppression of highly nonlinear aeroelastic vibrations, opposed to the classical robust methods that probably reach their limits in this area. Originality/value The work raises the questions of controllability of the highly nonlinear aeroelastic systems by means of classical robust and NN/RL methods of control.

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“…A significant progress in the area of active suppression of aeroelastic vibrations has been made recently, both theoretical and experimental (Block and Strganac, 1998;Ko et al, 1998;Clark et al, 2000;Frampton and Clark, 2000;Bialy et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Active suppression of freeplay aeroelastic vibrations of ailerons by robust control methods with incomplete measurements

Dul

2018

AEAT

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Purpose The purpose of this paper is to analyze the active suppression of the nonlinear aeroelastic vibrations of ailerons caused by freeplay by robust H∞ and linear quadratic Gauss (LQG) methods of control in case of incomplete measurements of the state of the system. Design/methodology/approach The flexible wing with nonlinear aileron with freeplay is treated as a plant-controller system with H∞ and LQG controllers used to suppress the aeroelastic vibrations. The simulation approach was used for analyzing the impact of completeness of measurements on the efficiency and robustness of the controllers. Findings The analysis shows that the H∞ method can be effectively used for suppression of nonlinear aeroelastic vibrations of aileron, although its efficiency depends essentially on completeness and types of measurements. The LQG method is less effective, but it is also able to prevent aileron vibrations by reducing their amplitudes to acceptable, safe level. Research limitations/implications Only numerical analysis was carried out for the problem described; thus, the proposed solution is of theoretical value at this stage of analysis, and its application to the real suppression of aeroelastic vibrations requires further research. Practical implications The work presents a potentially useful solution to the problem of interest and results are a theoretical basis for further research. Social implications This work may lead to a hot debate on the advantages and drawbacks of the active suppression of vibrations in the aeroelasticians community. Originality/value The work raises the important questions of practical stabilizability of the nonlinear aeroelastic systems, their dependence on completeness and types of measurements and robustness of the controllers.

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Tracking Control of Limit Cycle Oscillations in an Aero-Elastic System

Cited by 6 publications

References 21 publications

ZG Tracking Control of MI Systems

ZG Tracking Control of MI Systems

Suppression of nonlinear aeroelastic vibrations by learned neural network controller

Active suppression of freeplay aeroelastic vibrations of ailerons by robust control methods with incomplete measurements

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