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针对干扰输入对系统输出的影响,研究双曲线型分布参数系统在边界控制下的干扰解耦问题.首先应用有界控制算子等价转换方法,获取边界控制下双曲线型分布参数系统的有界拓展形式;然后通过伽辽金近似法将有界增广系统转换成有限维系统;接着对等价有限维系统进行干扰解耦分析,推导出系统可干扰解耦的充分条件;最后通过数值分析和仿真图例表明了所给出条件的有效性.
According to the influence of disturbance input on the output of the system, the disturbance decoupling problem of hyperbolic distributed parameter system under boundary control is studied.First, the equivalent control method of bounded control operator is used to obtain the hyperbolic distributed parameter system Then, the bounded augmented system is transformed into a finite-dimensional system by the Galerkin approximation method. Then, the decoupled analysis of the equivalent finite-dimensional system is carried out to derive the sufficient condition that the system can interfere with the decoupling. Finally, The analysis and simulation plots show the validity of the given conditions.