College of Automation, Chongqing University of Posts and Telecommunications Chongqing, 400065, China; Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing, 400065, China.
College of Automation, Chongqing University of Posts and Telecommunications Chongqing, 400065, China; Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing, 400065, China.
ISA Trans. 2018 Mar;74:1-13. doi: 10.1016/j.isatra.2017.12.024. Epub 2018 Jan 17.
This paper investigates the H control problems for uncertain linear system over networks with random communication data dropout and actuator saturation. The random data dropout process is modeled by a Bernoulli distributed white sequence with a known conditional probability distribution and the actuator saturation is confined in a convex hull by introducing a group of auxiliary matrices. By constructing a quadratic Lyapunov function, effective conditions for the state feedback-based H controller and the observer-based H controller are proposed in the form of non-convex matrix inequalities to take the random data dropout and actuator saturation into consideration simultaneously, and the problem of non-convex feasibility is solved by applying cone complementarity linearization (CCL) procedure. Finally, two simulation examples are given to demonstrate the effectiveness of the proposed new design techniques.
本文研究了网络中具有随机通信数据丢包和执行器饱和的不确定线性系统的 H 控制问题。随机数据丢包过程通过具有已知条件概率分布的伯努利分布白序列进行建模，并且通过引入一组辅助矩阵将执行器饱和限制在凸包内。通过构造二次 Lyapunov 函数，以非凸矩阵不等式的形式提出了基于状态反馈的 H 控制器和基于观测器的 H 控制器的有效条件，以同时考虑随机数据丢包和执行器饱和的影响，并通过应用锥互补线性化（CCL）过程解决了非凸可行性问题。最后，给出了两个仿真示例，以验证所提出的新设计技术的有效性。
