【作者】 谢林柏； 赵维一； 纪志成；

【Author】 Xie Linbo Zhao Weiyi Ji Zhicheng (Control Science and Engineering Research Center, Southern Yangtze University, Wuxi 214122, China)

【机构】 江南大学控制科学与工程研究中心；

【摘要】 针对具有时延的网络控制系统研究其最优控制问题．利用线性离散系统有限时域的增量式差分变换来取代传统的离散变换,在δ算子域内应用动态规划理论,设计线性离散二次型最优控制律,将包含时延参数的当前状态量和前一时刻的控制信号组成增广向量并进行闭环反馈控制律设计．经过理论和仿真验证,当采样周期趋于无穷小时,δ算子域离散系统的模型参数逼近于相应的连续时间模型参数．更多还原

【Abstract】 This paper deals with an optimal control problem for networked control systems (NCSs for short), which have network induced time delays in the communication networks. A linear quadratic Gaussian control law for NCSs with random time delays formulated in S operation domain is proposed, which is derived by using dynamic programming approach. The derived optimal controller in S operation domain can be represented as a linear delay-dependent function of the states and the previous control signals. It is also interesting to find that, under very fast sampling rate condition, especially when the sampling time period tends to zero, the derived model parameters described in δ operation domain converge to the corresponding continuous results.更多还原