| Citation: | YU Jianghang, XU Jun, HUANG Yukeet al. Tracking control for a class of nonlinear systems in feedback form[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(7): 1444-1450. doi: 10.13700/j.bh.1001-5965.2018.0688(in Chinese)
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In order to achieve the control of a class of nonlinear systems in feedback form, the system is studied. First, according to LaSalle's invariance principle, the convergence of a class of autonomous systems is proved. The error function is introduced, and the Lyapunov function of the error function is used to find the controller which makes the error function asymptotically stable. Then, according to the lemma, the trajectories tracked by the system states are all converged, so that the system states are bounded and the output of the system converges to input. The condition and the proof of the stability of the closed-loop system are given. Finally, an example of longitudinal dynamics of an fixed-wing aircraft flight control system is presented, and the controller is designed according to the proposed method. The simulation is verified under the Simulink module of MATLAB. The results show that, for step signals and sinusoidal signals, the proposed controller can enable the pitch angle of aircraft to quickly converge the tracking command.
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