【摘要】 考虑到带宽有限网络环境下信号需经过量化处理才能进行发送,研究了一类带宽受限随机网络控制系统的L₂-L_∞滤波问题。采用对数量化器,将量化后的测量信号作为滤波器输入信号。首先将滤波误差系统建模成范数有界不确定随机时滞系统,进一步基于线性矩阵不等式方法推出了该随机网络控制系统的稳定性和滤波器设计的充分条件,并将滤波器的设计转化为一个凸优化的求解问题。所设计的滤波器能够保证相对于所有能量有界的外界扰动信号,随机网络控制系统的L₂-L_∞性能指标小于一定值γ。仿真实例证实了该设计方法的有效性。更多还原

【Abstract】 Considering the signal can be sent through quantization processing under the limited bandwidth network environment,L₂-L_∞ filtering problem for stochastic network-based control systems with bandwidth constraints is studied.The quantized measurement signal is used as the filter input by using the logarithmic quantizer.At first,the filter-error system is modelled as a stochastic time-delay system with norm-bounded uncertainty.Sufficient conditions are further proposed in terms of linear matrix inequality,and the corresponding filter design is converted to a convex optimization problem.The designed filter can guarantee that the stability of systems and a prespecified L₂-L_∞ performance y for the stochastic network-based control systems with respect to all energy-bounded input signals.A numerical example illustrates the effectiveness of the proposed design scheme.更多还原