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Output-feedback dynamic surface control for a class of nonlinear non-minimum phase systems

机译:一类非线性非最小相位系统的输出反馈动态表面控制

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In this paper, an output-feedback tracking controller is proposed for a class of nonlinear non-minimum phase systems. To keep the unstable internal dynamics bounded, the method of output redefinition is applied to let the stability of the internal dynamics depend on that of redefined output, thus we only need to consider the new external dynamics rather than internal dynamics in the process of designing control law. To overcome the explosion of complexity problem in traditional backstepping design, the dynamic surface control (DSC) method is firstly used to deal with the problem of tracking control for the nonlinear non-minimum phase systems. The proposed output-feedback DSC controller not only forces the system output to asymptotically track the desired trajectory, but also drives the unstable internal dynamics to follow its corresponding bounded and causal ideal internal dynamics, which is solved via stable system center method. Simulation results illustrate the validity of the proposed output-feedback DSC controller.
机译:针对一类非线性非最小相位系统,提出了一种输出反馈跟踪控制器。为了使不稳定的内部动力学保持一定界限,采用输出重新定义方法,使内部动力学的稳定性取决于重新定义的输出,因此在设计控制过程中,我们只需要考虑新的外部动力学,而不是内部动力学。法。为了克服传统反推设计中复杂性问题的激增,首先采用动态表面控制(DSC)方法来解决非线性非最小相位系统的跟踪控制问题。提出的输出反馈DSC控制器不仅迫使系统输出渐近跟踪所需的轨迹,而且驱动不稳定的内部动力学遵循其相应的有界和因果关系理想的内部动力学,这可以通过稳定的系统中心方法来解决。仿真结果说明了所提出的输出反馈DSC控制器的有效性。

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