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Variable-structure μ synthesis method for stability margin of multiloop aeroservoelastic system
Received date: 2016-04-21
Revised date: 2016-06-21
Online published: 2016-06-27
Aeroservoelastic system is a multi-input-multi-output (MIMO) system with its control loops coupled with each other, while currently there is no unified theory in regard to the stability margin of the control loops. This paper addresses this problem by first analyzing the existing return difference matrix method and the μ synthesis method, and then proposing a new method to reduce the conservativeness during analysis. This new method, called the variable-structure μ synthesis method, solves the stability margin through adjusting the perturbation model in several iterations and is proved to have fast convergence property. Finally, different methods are used to calculate the stability margins of the gust alleviation system of a flexible aircraft, and the results show that the proposed approach is less conservative compared with the existing methods.
LIU Xiang , SUN Qin . Variable-structure μ synthesis method for stability margin of multiloop aeroservoelastic system[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017 , 38(4) : 120350 -120350 . DOI: 10.7527/S1000-6893.2016.0201
[1] HADDADPOUR H. Aeroservoelastic stability of supersonic slender-body flight vehicles[J]. Journal of Guidance, Control, and Dynamics, 2006, 29(6):1423-1427.
[2] KARPEL M, MOULIN B, CHEN P C. Extension of the g-method flutter solution to aeroservoelastic stability analysis[J]. Journal of Aircraft, 2005, 42(3):789-792.
[3] DOYLE J C. Robustness of multiloop linear feedback systems[C]//Proceedings of the IEEE Conference on Decision and Control. Piscataway, NJ:IEEE Press, 1978:12-18.
[4] LEHTOMAKI N A, SANDELL J N R, ATHANS M. Robustness results in linear-quadratic Gaussian based multivariable control designs[J]. Transactions on Automatic Control, 1981, AC-26(1):75-93.
[5] MUKHOPADHYAY V, NEWSOM J R. Application of matrix singular value properties for evaluating gain and phase margins of multiloop systems[C]//AIAA Guidance and Control Conference. Reston:AIAA, 1982:420-428.
[6] BURKEN J J. Flight-determined stability analysis of multiple-input-multiple-output control systems:AIAA-1992-4396[R]. Reston:AIAA, 1992.
[7] 吴斌, 程鹏. 多变量飞控系统的稳定裕度分析[J]. 航空学报, 1998, 19(6):18-22. WU B, CHENG P. Stability margin analysis of the multiloop flight control systems[J]. Acta Aeronautica et Astro-nautica Sinica, 1998, 19(6):18-22 (in Chinese).
[8] DOYLE J. Analysis of feedback systems with structured uncertainties[J]. IEEE Proceedings D:Control Theory and Applications, 1982, 129(6):242-250.
[9] LIND R, BRENNER M. Analyzing aeroservoelastic stability margins using the μ method[C]//AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Reston:AIAA, 1998:1672-1681.
[10] TSAO T T, LEE F C, AUGENSTEIN D. Relationship between robustness μ-analysis and classical stability margins[C]//Proceedings of the 1998 IEEE Aerospace Conference. Part 1 (of 5). Piscataway, NJ:IEEE Press, 1998:481-486.
[11] VARTIO E J, SHAW E E, VETTER T. Gust load alleviation flight control system design for a sensor craft vehicle[C]//26th AIAA Applied Aerodynamics Conference. Reston:AIAA, 2008:1-10.
[12] DE GASTON R R E, SAFONOV M G. Exact calculation of the multiloop stability margin[J]. Transactions on Automatic Control, 1988, 33(2):156-171.
[13] SIDERIS A, DE GASTON R R E. Multivariable stability margin calculation with uncertain correlated parameters[C]//Proceedings of the 25th IEEE Conference on Decision & Control. Piscataway, NJ:IEEE Press, 1986:766-771.
[14] AL-SHAMALI S A, JI B, CRISALLE O D, et al. The Nyquist robust sensitivity margin for uncertain closed-loop systems[J]. International Journal of Robust and Nonlinear Control, 2005, 15(14):619-634.
[15] SON J E, MANI A S, LATCHMAN H A. Robustness analysis for MIMO systems with unstructured uncertainties[C]//2010 8th IEEE International Conference on Control and Automation. Piscataway, NJ:IEEE Press, 2010:1333-1337.
[16] 李信栋, 苟兴宇. 多输入多输出线性定常系统稳定裕度的分析与改进[J]. 控制理论与应用, 2014, 31(1):105-111. LI X D, GOU X Y. Analysis and improvement of stability margin for multi-input multi-output linear time-invariant systems[J]. Control Theory & Applications, 2014, 31(1):105-111 (in Chinese).
[17] KARPEL M, MOULIN B, CHEN P C. Dynamic response of aeroservoelastic systems to gust excitation[J]. Journal of Aircraft, 2005, 42(5):1264-1272.
[18] ZONA Technology, Inc. ZAERO application's manual Vol.2[M]. Scottsdale:ZONA Technology, Inc. 2008:121-198.
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