Analysis and Design of Nonlinear Control System for Aircraft with Flap

doi:10.3969/j.issn.1000-1093.2017.07.010

Abstract

Abstract: The design and controllability of autopilot of surface symmetric aircraft with flaps as actuators are studied. Compared with traditional aircrafts, such an aircraft lacks rudder in its yaw loop while using flaps as actuators. The motion dynamics model of such an aircraft is derived. The differential geometry method is used to analyze the controllability of the nonlinear control system described by this dynamics. This analysis has proved the controllability of the system. Based on the controllability analysis, a nonlinear optimal controller for the nonlinear coupled control system is designed using state-dependent Riccati equation method. Simulated results demonstrate that the roll angle and longitudinal overload can fast track the commands based on the system of weak controllability, and also testify the feasibility of two-channel control of aircraft. Key

Key words: controlscienceandtechnology, aircraft, flap, bank-to-turn, controllability, nonlinearcontrol

CLC Number:

V448.133

ZHOU Di, DONG Jin-lu. Analysis and Design of Nonlinear Control System for Aircraft with Flap[J]. Acta Armamentarii, 2017, 38(7): 1322-1329.

References

［1］唐伟, 张勇, 马强, 等. 带控制舵椭圆截面飞行器的气动设计［J］. 空气动力学学报, 2006, 24(2): 223-226.
TANG Wei, ZHANG Yong, MA Qiang, et al. Aerodynamics configuration design for elliptical cross section vehicle with flaps［J］. Acta Aerodynamica Sinica, 2006, 24(2): 223-226. (in Chinese)
［2］邓帆, 任怀宇, 李绪国, 等. 采用不同气动控制舵面的临近空间高超声速滑翔飞行器舵效研究［J］. 空气动力学学报, 2014, 32(2): 240-245.
DENG Fan, REN Huai-yu, LI Xu-guo, et al. Rudder effect of near space hypersonic gliding vehicle with different control surfaces［J］. Acta Aerodynamica Sinica, 2014, 32(2): 240-245. (in Chinese)
［3］周宇. 重复使用运载器再入段控制技术研究［D］. 南京:南京航空航天大学, 2012.
ZHOU Yu. Research on control technology of reentry for reusable launch aircraft［D］. Nanjing:Nanjing University of Aeronautics and Astronautics, 2012. (in Chinese)
［4］呼卫军, 周军. 可重复使用运载器变结构姿态控制算法设计［J］. 西北工业大学学报, 2007, 25(1): 92-96.
HU Wei-jun, ZHOU Jun. Design of variable structure attitude control system for RLV［J］. Journal of Northwestern Polytechnical University, 2007,25(1): 92-96. (in Chinese)
［5］ Brockett R W. System theory on group manifolds and coset spaces［J］. SIAM Journal on Control, 1972, 10(2): 265-284.
［6］ Krener A. A generalization of Chow's theorem and the Bang-Bang theorem to nonlinear control problems［J］. SIAM Journal on Control, 1974, 12(1): 43-52.
［7］ Sun Y M. Further results on global controllability of planar nonlinear systems［J］. IEEE Transactions on Automatic Control, 2010, 55(8): 1872-1875.
［8］ Sun Y M. Linear controllability versus global controllability［J］. IEEE Transactions on Automatic Control, 2009, 54(8): 1693-1697.
［9］ Gennaro S D. Output attitude tracking for flexible spacecraft［J］. Automatica, 2002, 38: 1719-1726.

［10］黄郁馨, 王彤宇, 林琳. 基于滑模变结构控制的移动系统滑转率控制［J］. 兵工学报, 2014, 35(10): 1707-1715.
HUANG Yu-xin, WANG Tong-yu, LIN Lin. Slip ratio control of locomotion system based on sliding mode variable structure control［J］. Acta Armamentarii, 2014, 35(10): 1707-1715. (in Chinese)
［11］崔乃刚, 白瑜亮, 常亚武, 等. 基于非线性动态逆的水下运载器控制方法研究［J］. 兵工学报, 2013, 34(4): 443-450.
CUI Nai-gang, BAI Yu-liang, CHANG Ya-wu, et al. Underwater vehicle control method based on nonlinear dynamic inversion［J］. Acta Armamentarii, 2013, 34(4): 443-450. (in Chinese)
［12］张军, 徐世杰. 基于SDRE方法的挠性航天器姿态控制［J］. 宇航学报, 2008, 29(1): 138-144.
ZHANG Jun, XU Shi-jie. Control of flexible spacecraft via state dependent Riccati equation technique［J］. Journal of Astronautics, 2008, 29(1): 138-144. (in Chinese)
［13］ Cloutier J R, Stansbery D T. All-aspect acceleration limited homing guidance［C］∥AIAA Guidance, Navigation and Control Conference. Portland, OR, US:AIAA, 1999: 633-639.
［14］ Vaddi S S, Menon P K, Ohlmeyer E J. Numerical SDRE approach for missile integrated guidance control［C］∥AIAA Guidance, Navigation and Control Conference. SC, US: AIAA, 2007: 1-17.
［15］ Bogdanov A, Wan E. State-dependent Riccati equation control for small autonomous helicopters［J］. AIAA Journal of Guidance, Control and Dynamics, 2007, 30(1): 47-60.
［16］ Hermann R, Krener A J. Nonlinear controllability and observability［J］. IEEE Transactions on Automatic Control, 1977, 22(5): 728-7473.
［17］ Banks H T, Lewis B M, Tran H T. Nonlinear feedback controller and compensators: state-dependent Riccati equation approach［J］. Journal of Computational Optimization and Applications, 2007, 37(2): 177-218.
［18］ Kiumars A R, Hamid K, Ah K S. SDRE control of non-affine systems［C］∥2016 4th International Conference on Control, Instrumentation, and Automation. Qazvin, Iran: IEEE, 2016: 239-244.

第38卷
第7期2017 年7月兵工学报ACTA
ARMAMENTARIIVol.38No.7Jul.2017

[1]	LIU Zhifeng, ZHANG Xue, LI Ping, ZHANG Jihao, LI Siqi, WANG Weidong, GONG Peng. Research on the Transmission Scheme of Multi-aircraft Network Based on D2D Communication and Virtual MIMO [J]. Acta Armamentarii, 2024, 45(4): 1141-1147.
[2]	LIU Qian, ZHANG Zhuxin, ZHAO Dingxuan, WANG Hui, QIN Zhanyong. Electric Landing Assist Device of Shipborne Helicopters and Its Key Characteristics Analysis [J]. Acta Armamentarii, 2024, 45(1): 241-252.
[3]	DU Hongbao, WANG Zhengjie, TANG Lixi, ZHANG Xiaoning. Control Barrier Function-based Control for Aircraft Avoidance and Guidance with Dynamic Obstacles [J]. Acta Armamentarii, 2023, 44(9): 2814-2823.
[4]	DU Wanshan, ZHOU Zhou, BAI Yu, ZHANG Zhilin, WANG Keilei. Study on Multibody Dynamics Modeling and Flight Dynamic Characteristics of Combined Aircraft [J]. Acta Armamentarii, 2023, 44(8): 2245-2262.
[5]	WANG Lei, XU Chao, LI Miao, ZHAO Huiwu. Improved Particle Swarm Optimization Algorithm for Cooperative Task Assignment of Multiple vehicles [J]. Acta Armamentarii, 2023, 44(8): 2224-2232.
[6]	SUN Xiaoyuan, DENG Feng, LIU Xueqiang. Numerical Simulation of Ditching of a Twin-Fuselage Aircraft [J]. Acta Armamentarii, 2023, 44(7): 2066-2079.
[7]	MA Yuemeng, WANG Linwei, SHAO Chuntao, ZHOU Di, WANG Yonghai. Active-Disturbance-Rejection/Robust Attitude Control System Design of Underactuated Vehicle Based on Flap Control [J]. Acta Armamentarii, 2023, 44(5): 1251-1266.
[8]	ZHANG Liang'an, CHEN Yang, XIE Shenglong, LIU Tongxin. Crack Detection System for Aircraft Protective Grill based on Machine Vision and Deep Learning [J]. Acta Armamentarii, 2023, 44(2): 507-516.
[9]	DONG Jinlu, MA Yuemeng, ZHOU Di, GONG Xiaogang, ZHANG Xi, SONG Jiahong. A Composite Sliding Mode Control Scheme Based on Reaction Jets and Flaps for Near-Space Hypersonic Vehicles [J]. Acta Armamentarii, 2023, 44(2): 496-506.
[10]	LIU Zhenyu, LIU Bingqi, WANG Jiping, YANG Chunwei. Cooperative Guidance Law of Multiple Aircrafts with Field-of-view Constraints [J]. Acta Armamentarii, 2022, 43(S2): 71-77.
[11]	LI Ting, LIU Lin, PENG Yuncheng, CUI Chaoxiong, XUE Fei. Preventive Maintenance Optimization and Spare Parts Prediction Method for Aircraft Group Oriented to Operational Readiness [J]. Acta Armamentarii, 2022, 43(7): 1695-1705.
[12]	LI Jingkui， LIN Wenjie， JIANG Xiuhong， LU Yuze. Reliability Analysis of Aircraft Fuel Closed-loop Control System Based on GO Methodology and Markov Process [J]. Acta Armamentarii, 2022, 43(6): 1447-1455.
[13]	YANG Zhiwei， WANG Liangming， CHEN Jianwei， YIN Yongyang. Motion Characteristics of the Small Caliber Anti-aircraft Gun Correction Projectile Subjected to a Pulse Action [J]. Acta Armamentarii, 2022, 43(6): 1337-1345.
[14]	WU Zeliang， YE Jianchuan， WANG Jiang， JIN Ren. Parameter Dimensionality Reduction and Optimal Design of Aircraft Airfoil Based on Deep Autoencoder Neural Network [J]. Acta Armamentarii, 2022, 43(6): 1326-1336.
[15]	ZHAO Wenhui， SUN Xiaoheng， ZHANG Weidong， ZHENG Peng， YANG Fan. Analysis of Dynamic Characteristics of Four-rotor Aircraft Gearbox-arm Component [J]. Acta Armamentarii, 2022, 43(5): 1175-1184.