【作者】 李建华；

【导师】 汪志鸣；

【作者基本信息】 华东师范大学 ， 应用数学， 2010， 硕士

【摘要】 本文研究两类网络化控制系统.一类是在信息受限条件下基于观测器的连续混沌系统的同步.对于具有混沌形式的驱动系统和基于观测器的响应系统,通过一个有限容量的信道连接,设计有效的量化方法使得同步误差关于传输误差是输入到状态稳定(简记为ISS),同时传输误差是指数稳定.因此,在有限信道容量的条件下同步误差渐近趋于零.本文结果克服了以往研究工作在有限传输能力情况下无法使得同步误差渐近趋于零的缺陷.仿真例子也验证了本文方法的有效性.另一类是对具有时变传输周期的正则,无脉冲的广义网络化控制系统进行分析,其中传感器采用时钟驱动,控制器和执行器采用时间驱动.在无传输时延和数据丢包的情况下,广义网络化控制系统可转化为异步动态系统,同时将时变传输周期变量视为参数不确定项.进而利用李雅普诺夫方法和线性矩阵不等式的技巧,给出系统指数稳定的充要条件.利用Matlab LMI工具箱,本文所采用的方法不仅可以判定广义网络化系统的稳定性,而且还可以获得使系统指数稳定的状态反馈控制律.最后仿真例子验证了方法的可行性.更多还原

【Abstract】 In this paper, two classes of networked control systems are studied. The first one is an observer-based synchronization of a continuous chaotic system under information constraints. For a general chaotic master system and its observer-based slave system, which are connected by a limited capacity channel, a practical quantized scheme is designed such that the synchronization error is ISS on the transmission error, while the transmission error converges to zero exponentially. Therefore, the synchronization error converges to zero asymptotically under information constraints. The obtained result overcomes difficulties of previous works in which the synchronization error can’t converge to zero under information constraints. Finally, a simulation example is presented to illustrate the result.The second one is a regular and impulsive-free singular networked control system, where the sensor node is time-driven, but the controller and executor are event-driven. Then, such a singular networked control system can be modeled as an asynchronous dynamical system in the case of no networked-induced delay and no data packet dropout. Meanwhile, being regarded a time-varying transmission period as a time-varying uncertain parameter, a sufficient condition on exponential stability is given by the Lyapunov function method and LMI (linear matrix inequality) techniques. Taking advantage of the Matlab LMI toolbox, we can not only prove the stability of the networked system, but also construct a state feedback control law. A simulation example is given to illustrate the relevant result.更多还原