基于状态观测器的NNCS H_∞完整性设计

Observer-Based H_∞ Integrity Design for Nonlinear NNCS

针对一类具有时延及丢包的非线性网络化控制系统,当存在有限能量扰动时,在状态无法直接测量和执行器失效故障情形下,基于全维状态观测器和状态反馈控制策略,研究了NCS的H∞完整性设计问题。首先,基于T-S模糊模型,通过构造Lyapunov-Krasovskii泛函,推证出了使系统具有H∞完整性的时滞依赖充分条件;进一步,又利用矩阵分离技术以求解线性矩阵不等式的形式得到了状态观测器和控制器增益的求解方法。推证过程对时延采用了分段处理,使结果具有较少保守性。最后以仿真示例验证了所述方法的有效性和可行性。

For a class of nonlinear networked control system （NNCS） with network-induced delay and packed dropout, which is influenced by external disturbance with limited energy in transmission, the Hx integrality sufficient conditions of systems with failures of actuator and immeasurable state is analyzed based on observer. Firstly, by constructing appreciate Lyapunov-Krasovskii function, the Hx integrality of delay-dependent sufficient condition sufficient condition sufficient condition based on T-S fuzzy model is analyzed. Secondly, using matrix separation technology, observer-based controller gain can be obtained via solving several linear matrix inequalities （LMIs）. Especially section processing of the delay, a less conservative result is obtained. Finally, an example is used to illustrate the effectiveness and feasibility of proposed approach.