不确定严格反馈系统的无反步预设性能自适应控制:一种全驱系统方法的设计

Backstepping-free Adaptive Control of Uncertain Strict-feedback Systems with Prescribed Performance: A Fully Actuated System Approach-based Design

  • 摘要: 针对不确定严格反馈型非线性系统,提出了一种无反步递推的指定时间预设性能自适应跟踪控制设计方法。该方法通过引入一种新型的指定时间性能函数对跟踪误差边界进行定量设定并将原不确定严格反馈系统转化为一类伪高阶全驱(HOFA)系统,然后结合全驱系统方法进行控制设计,不仅改进了预设性能控制,而且避免了现有结果基于自适应反步法迭代设计的不足,简化了控制器设计过程。基于李雅普诺夫稳定性理论证明了闭环系统所有信号一致最终有界,系统输出能跟踪参考信号且跟踪误差能在指定时间收敛到预设精度范围。最后,通过直流电机驱动机械臂的仿真实验,验证了所提理论方法的有效性。

     

    Abstract: We present a backstepping-free adaptive control approach for tracking control of uncertain strict-feedback systems with guaranteed predefined-time prescribed performance. By introducing a novel predefined-time performance function to quantitatively set the constraint boundaries for tracking error and transforming the original uncertain strict feedback system into a new pseudo high order fully actuated (HOFA) system, as well as combining the fully actuated system theory for control design, the proposed method not only successfully achieves an improved prescribed performance control, but also effectively avoids the shortcomings of iterative design based on adaptive backstepping method, simplifying the controller design process. Based on the Lyapunov stability theory, it is proven that all signals in the closed-loop system are uniformly ultimately bounded, the system output can track the reference signal, and the tracking error can be steered into a prescribed precision within the pre-specified time. Finally, a direct current motor actuated robotic manipulator is considered to illustrate the effectiveness of the proposed approach.

     

/

返回文章
返回