Aircraft Trajectory Control with Feedback Linearization for General Nonlinear Systems

The feedback linearization method is further developed for the controller design on general nonlinear systems. Through the Lyapunov stability theory, the intractable nonlinear implicit algebraic control equations are effectively solved with the dynamic approach, and the asymptotic tracking performance is guaranteed. Moreover, it is proved that the proposed dynamic feedback controller may be used in an inverse-free version to the set-point control. With this method, a nonlinear aircraft outer-loop trajectory controller is developed. For the concern regarding the controller’s robustness, the integral control technique is combined to counteract the adverse effect from modeling errors. Simulation results verify the well performance of the proposed controller.

[1]  Junichiro Kawaguchi,et al.  Stochastic Approach to Robust Flight Control Design Using Hierarchy-Structured Dynamic Inversion , 2011 .

[2]  Adi Ben-Israel,et al.  Generalized inverses: theory and applications , 1974 .

[3]  Toshiki Oguchi,et al.  Input-output linearization of retarded non-linear systems by using an extension of Lie derivative , 2002 .

[4]  Gianluca Palli,et al.  Feedback linearization of variable stiffness joints based on twisted string actuators , 2015, 2015 IEEE International Conference on Robotics and Automation (ICRA).

[5]  Weihua Zhao,et al.  Quadcopter formation flight control combining MPC and robust feedback linearization , 2014, J. Frankl. Inst..

[6]  Gook-Hwan Kim,et al.  Partial feedback linearization control of a three-dimensional overhead crane , 2012, International Journal of Control, Automation and Systems.

[7]  柴田英贵.  Flight control system , 2006 .

[8]  Sheng ZHANG,et al.  Aircraft Post-stall Maneuver Control Using Attitude Feedback Linearization , 2019, 2019 Chinese Control Conference (CCC).

[9]  Sheng Zhang,et al.  Inversion control of aircraft herbst maneuver with nonlinear dynamic root-finding , 2018, 2018 Chinese Control And Decision Conference (CCDC).

[10]  Hassan K. Khalil,et al.  Feedback Linearization for Nonlinear Systems With Time-Varying Input and Output Delays by Using High-Gain Predictors , 2016, IEEE Transactions on Automatic Control.

[11]  A. Krener,et al.  Nonlinear controllability and observability , 1977 .

[12]  Philippe Martin,et al.  A Lie-Backlund approach to equivalence and flatness of nonlinear systems , 1999, IEEE Trans. Autom. Control..

[13]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[14]  William L. Garrard,et al.  Nonlinear inversion flight control for a supermaneuverable aircraft , 1992 .

[15]  P. Olver.  Nonlinear Systems , 2013 .

[16]  Tzuu-Hseng S. Li,et al.  Novel fuzzy feedback linearization strategy for control via differential geometry approach. , 2010, ISA transactions.

[18]  Frede Blaabjerg,et al.  Direct torque control with feedback linearization for induction motor drives , 2015, 2015 17th European Conference on Power Electronics and Applications (EPE'15 ECCE-Europe).

[19]  Marios M. Polycarpou,et al.  Backstepping-Based Flight Control with Adaptive Function Approximation , 2005 .

[20]  D. Naidu,et al.  Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey , 2001 .

[21]  Hyun Cheol Cho,et al.  Adaptive control and stability analysis of nonlinear crane systems with perturbation , 2008 .

[22]  Gang Liu,et al.  Feedback Linearization and Extended State Observer-Based Control for Rotor-AMBs System With Mismatched Uncertainties , 2017, IEEE Transactions on Industrial Electronics.

[23]  Farzin Piltan,et al.  Design Novel Fuzzy Robust Feedback Linearization Control with Application to Robot Manipulator , 2013 .

[24]  Liang Jin,et al.  Adaptive control of discrete-time nonlinear systems using recurrent neural networks , 1994 .

[25]  A. D. Mahindrakar,et al.  Nonlinear Control System , 2014 .

[26]  Kai-Yew Lum,et al.  Application of absolute stability theory to robust control against loss of actuator effectiveness , 2009 .

[27]  Frank L. Lewis,et al.  Synchronization of nonlinear heterogeneous cooperative systems using input-output feedback linearization , 2014, Autom..