Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China.
ISA Trans. 2010 Jan;49(1):39-46. doi: 10.1016/j.isatra.2009.08.001. Epub 2009 Aug 26.
This paper investigates the observer-based H(infinity) control problem of networked nonlinear systems with global Lipschitz nonlinearities and random communication packet losses. The random packet loss is modelled as a Bernoulli distributed white sequence with a known conditional probability distribution. In the presence of random packet losses, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop networked nonlinear system is exponentially stable in the mean-square sense, and a prescribed H(infinity) disturbance-rejection-attenuation performance is also achieved. Then a linear matrix inequality (LMI) approach for designing such an observer-based H(infinity) controller is presented. Finally, a simulation example is used to demonstrate the effectiveness of the proposed method.
本文研究了具有全局 Lipschitz 非线性和随机通信数据包丢失的网络非线性系统的基于观测器的 H(infinity)控制问题。随机数据包丢失被建模为具有已知条件概率分布的伯努利分布白序列。在存在随机数据包丢失的情况下，导出了存在基于观测器的反馈控制器的充分条件，使得闭环网络非线性系统在均方意义下指数稳定，并且还实现了规定的 H(infinity)干扰抑制衰减性能。然后提出了一种用于设计这种基于观测器的 H(infinity)控制器的线性矩阵不等式（LMI）方法。最后，通过仿真示例验证了所提出方法的有效性。
