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A novel prescribed-time H∞ robust backstepping control algorithm of strict-feedback uncertain nonlinear systems based
Lijin Fang1, Hesong Shen1, Huaizhen Wang2
1Faculty of Robot Science and Engineering, Northeastern University, Shenyang, 110000, China.
Abstract:
This paper considers the prescribed-time convergence and robustness problems of strict-feedback uncertain nonlinear systems (SFUNSs). A novel control algorithm of prescribed-time H∞ robust control scheme in the framework of backstepping method is proposed, improving the convergence speed of the conventional H∞ robust control system without deteriorating its robustness. Firstly, the prescribed-time H∞ robust stability theorem is presented. Based on this theorem, a fuzzy approximation-based prescribed-time H∞ robust controller is designed, where the fuzzy adaptive law can approximate the lumped uncertainties (including both matched and unmatched ones) in prescribed time, achieving rapid response performance and strong robustness of SFUNSs simultaneously. Furthermore, Lyapunov method is utilized to prove its rationality. Finally, the proposed control scheme is validated by simulation on a two-link robotic manipulator.
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