The suppression of aeroelastic vibrations due to flutter using a trailing edge flap is analyzed to increase the speed operability range of wings. The aeroelastic model of a 3DOF airfoil in incompressible flow is presented and an augmented state-space representation is used for the time domain analysis. A finite element model of a V-stack piezoelectric actuator, used to move the trailing edge flap, is introduced to model the actuator dynamics. The use of the simple adaptive controller is investigated to realize an adaptive flutter suppression system. A parallel feedforward compensator is tuned to make the plant almost strictly passive and a metaheuristic algorithm is used to determine the invariant parameters. Numerical simulations are carried out to verify the performance of the simple adaptive flutter suppression system in presence of speed variations and disturbances. Numerical results proved that the SAC flutter suppression system improves the closed loop system flutter boundary with respect to a gain scheduled PID controller.
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References
1.
AlaimoAEspositoAOrlandoC (2019) PDSO tuning of PFC-SAC fault tolerant flight control system. Advances in aircraft and spacecraft science6(5): 349–369.
2.
AndrievskyBKudryashovaEVKuznetsovNV, et al. (2018) Simple adaptive control for airfoil flutter suppression. Mathematics in Engineering, Science and Aerospace9(1): 5–20.
3.
ArdeleanEVClarkRL (2001) V-Stack piezoelectric actuator, p. 4333.Smart Structures and Materials 2001
4.
ArdeleanEVColeDGClarkRL (2004) High Performance ''V-stack'' Piezoelectric Actuator. Journal of Intelligent Material Systems and Structures15(11): 879–889.
5.
ArdeleanEVMcEverMAColeDG, et al. (2006) Active flutter control with a v-stack piezoelectric flap actuator. Journal of Aircraft43(2): 482–486.
6.
BarkanaI (2005) Gain conditions and convergence of simple adaptive control. International Journal of Adaptive Control and Signal Processing19(1): 13–40.
7.
BarkanaI (2005) Classical and simple adaptive control for nonminimum phase autopilot design. Journal of Guidance, Control, and Dynamics28(4): 631–638.
8.
BarkanaI (2007) Simple Adaptive Control - a Stable Direct Model Reference Adaptive Control Methodology - Brief Survey. IFAC Proceedings Volumes40(13): 310–327.
9.
BarkanaI (2010) Output feedback stabilizability and passivity in nonstationary and nonlinear systems. International Journal of Adaptive Control and Signal Processing24(7): 568–591.
10.
BarkanaI (2014) Simple adaptive control–a stable direct model reference adaptive control methodology–brief. International Journal of Adaptive Control and Signal Processing28(7–8): 567–603.
11.
BarkanaI (2016) Robustness and perfect tracking in simple adaptive control. International Journal of Adaptive Control and Signal Processing30(8–10): 1118–1151.
12.
CassaroMBattipedeMMarzoccaP, et al. (2015) Comparison of adaptive control architectures for flutter suppression. Journal of Guidance, Control, and Dynamics38(2): 346–355.
13.
ChenCLPengCCYauHT (2017) High-order sliding mode controller with backstepping design for aeroelastic systems. Communications in Nonlinear Science and Numerical Simulation17(4): 1813–1823.
14.
ConnerMDTangDMDowellEH, et al. (1997) Nonlinear behavior of a typical airfoil section with control surface freeplay: a numerical and experimental study. Journal of Fluids and Structures11(1): 89–109.
15.
FicheraSIsnardiIMottersheadJE (2019) High-bandwidth morphing actuator for aeroelastic model control. Aerospace6(2): 13.
16.
HodgesDHPierceGA (2011) Introduction to Structural Dynamics and Aeroelasticity. Cambridge, UK: Cambridge University Press.
17.
IsnardiIFicheraS (2019) January) High bandwidth morphing actuator for experimental aeroelastic control. IFASD 2019.International Forum on Aeroelasticity and Structural Dynamics 2019
18.
IwaiZMizumotoILiuL, et al. (2006) Adaptive stable PID controller with parallel feedforward compensator, pp. 1–6.2006 9th International Conference on Control, Automation, Robotics and Vision
19.
LiDYangHQiN, et al. (2021) Observer-based sliding mode control for piezoelectric wing bending-torsion coupling flutter involving delayed output. Journal of Vibration and Control27(15–16): 1824–1841.
20.
JiaSSunJQDingQ (2019) Flutter Control of a Two-dimensional Airfoil based on Adaptive Dynamic Programming.IOP Conference Series: Materials Science and Engineering
21.
JiaSTangYSunJ, et al. (2021) Data-driven active flutter control of airfoil with input constraints based on adaptive dynamic programming method. Journal of Vibration and Control.Epub ahead of print March 2021.
22.
KaufmanHBarkanaISobelK (2012) Direct Adaptive Control Algorithms: Theory and Applications. Springer Science & Business Media.
23.
KouvaritakisBMacFarlaneAGJ (1976) Geometric approach to analysis and synthesis of system zeros Part 1. Square systems. International Journal of Control23(2): 149–166.
24.
LeeKWSinghSN (2018) ℒ1 adaptive control of an aeroelastic system with unsteady aerodynamics and gust load. Journal of Vibration and Control24(2): 303–322.
25.
LiDGuoSXiangJ (2010) Aeroelastic dynamic response and control of an airfoil section with control surface nonlinearities. Journal of Sound and Vibration329(22): 4756–4771.
26.
LiuLDowellEH (2005) Harmonic balance approach for an airfoil with a freeplay control surface. AIAA Journal43(4): 802–815.
27.
LiuHWangX (2019) Aeroservoelastic design of piezo-composite wings for gust load alleviation. Journal of Fluids and Structures88: 83–99.
28.
LivneE (2018) Aircraft active flutter suppression: State of the art and technology maturation needs. Journal of Aircraft55(1): 410–452.
29.
LuoMGaoMCaiG (2016) Fault-Tolerant Control for Flutter of Airfoil Subject to Input Saturation. Asian Journal of Control18(6): 2256–2262.
30.
MatsukiHNishiyamaTOmoriY, et al. (2018) Aircraft Engineering and Aerospace Technology.Flight test of fault-tolerant flight control system using simple adaptive control with PID controller
31.
Ming-ZhouGXin-YiCRongH, et al. (2020) A finite-time H-infinite adaptive fault-tolerant controller considering time delay for flutter suppression of airfoil flutter. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering234(2): 293–307.
32.
OrlandoC (2017) Nose landing gear simple adaptive shimmy suppression system. Journal of Guidance, Control, and Dynamics43(7): 1298–1312.
33.
PrimeZCazzolatoBDoolanC, et al. (2010) Linear-parameter-varying control of an improved three-degree-of-freedom aeroelastic model. Journal of Guidance, Control, and Dynamics33(2): 615–619.
34.
RayLRStengelRF (1992) Stochastic measures of performance robustness in aircraft control systems. Journal of Guidance, Control, and Dynamics15(6): 1381–1387.
35.
RusnakIBarkanaI (2009) SPR and ASPR untangled. IFAC Proceedings Volumes42(6): 126–131.
36.
SinghSNYimW (2003) State feedback control of an aeroelastic system with structural nonlinearity. Aerospace Science and Technology7(1): 23–31.
37.
SolihinMITackLFKeanML (2011) Tuning of PID controller using particle swarm optimization (PSO). International Journal on Advanced Science, Engineering and Information Technology1: 458–461.
38.
TangDChenLTianZF, et al. (2021) A neural network approach for improving airfoil active flutter suppression under control-input constraints. Journal of Vibration and Control27(3–4): 451–467.
39.
TheisJPfiferHSeilerPJ (2016) Robust control design for active flutter suppression. In AIAA Atmospheric Flight Mechanics Conference, p. 1751.
40.
TheodorsenTMutchlerWH (1935) General Theory of Aerodynamic Instability and the Mechanism of Flutter. NACA report n, p. 496.
41.
UlrichSDe LafontaineJ (2007) Development of a novel adaptive control algorithm for a fighter aircraft.AIAA Guidance, Navigation and Control Conference and Exhibit. AIAA
42.
UlrichSSasiadekJZBarkanaI (2012) Modeling and Direct Adaptive Control of a Flexible- Joint Manipulator. Journal of Guidance, Control, and Dynamics35(1): 25–39.
43.
VindigniCROrlandoC (2020) A Gain Scheduling Control of Incompressible Airfoil Flutter Tuned by the Population Decline Swarm Optimizer-$$P_{D}SO$$. Aerotecnica Missili & Spazio99(1): 3–16.
44.
VindigniCROrlandoCMilazzoA (2021) Computational Analysis of the Active Control of Incompressible Airfoil Flutter Vibration Using a Piezoelectric V-Stack Actuator. Vibration4(2): 369–394.
45.
WangYZhangQZhuL (2015) Active control of hypersonic airfoil flutter via adaptive fuzzy sliding mode method. Journal of Vibration and Control21(1): 134–141.
46.
WeissHRusnakIHexnerG (2018) Adaptive proportional navigation guidance. Proceedings of 58th Israel Annual Conference on Aerospace Sciences. Israel: Tel-Aviv & Haifa
47.
YangPLiQDRenZ, et al. (2014) Active control method on flutter suppression of a high-aspect-ratio two-dimensional airfoil with a control surface. Proceedings of the 2014 IEEE Chinese Guidance, Navigation and Control Conference. China: Yantai.
48.
YuanJQiNQiuZ, et al. (2018) Adaptive RBF observer-sliding mode controller design for a two dimensional aeroelastic system with unsteady aerodynamics. Aerospace Science and Technology80: 482–495.
