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基于谱方法研究了一类参数不确定网络控制系统的性能。由于通信网络的介入,特别是随机时延的存在,降低了系统的控制性能,甚至导致系统不稳定,因此研究通信网络对该类参数不确定控制系统性能带来的影响极具挑战性。详细推导了该类参数不确定网络控制系统的数学模型,并基于谱方法,推导出系统稳定运行的最大允许时延,并得到系统渐近稳定性条件,以保证系统在通信约束情况下的稳定性能,最后,通过实例仿真验证了所提理论的有效性和正确性。
Based on the spectral method, the performance of a class of uncertain networked control systems with parameters is studied. Due to the interference of communication networks, especially the random delay, the control performance of the system is reduced and even the system is unstable. Therefore, it is very challenging to study the influence of communication network on the performance of this kind of system with uncertain parameters. The mathematic model of networked control system with uncertain parameters is deduced in detail. Based on the spectral method, the maximum allowable delay of the system is deduced and the asymptotic stability of the system is obtained to ensure the stability of the system under communication constraints Performance. Finally, the validity and correctness of the proposed theory are verified through case simulation.