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.
The disturbance decoupling problem for hyperbolic-type distributed parameter systems with boundary control is proposed. Firstly, by employing the bounded control operator transformation technique, the extended systems for hyperbolic-type distributed parameter systems with boundary control are obtained. Then, by using the Galerkin approximation method, the extended systems can be transformed into finite dimensional systems. Sufficient conditions of disturbance decoupling are given, and the disturbance decoupling problem of the equivalent finite dimensional system is analyzed. Finally, an example is provided to illustrate effectiveness of the proposed conditions.