Observer-Based Quantized Guaranteed Cost Control of Fuzzy Networked Control Systems With Unreliable Links and Its Applications
Qunxian Zheng, Shengyuan Xu, Huaicheng Yan
Abstract
This article considers the nonfragile observer-based guaranteed cost control (GCC) problem of nonlinear networked control systems (NCSs), which are represented by the Takagi–Sugeno (T–S) fuzzy model. The studied T–S fuzzy NCSs are subjected to multipath quantizations and packet dropouts which mean that the coexistence of quantizations and packet dropouts not only in the control inputs, but also in the measurable outputs. The dynamic quantization strategy is adopted to quantize the multipath signals. The multipath packet dropouts are modeled as two mutually independent Bernoulli distribution random sequences. The observer-based controller design of T–S fuzzy NCSs is fulfilled through a novel observer design strategy. New results are derived to ensure that the closed-loop T–S fuzzy NCSs are stochastically stable with a certain GC function. By a two-step approach, results based on linear matrix inequalities are deduced to determine the observer parameters and controller gains. Eventually, a practicle example is given.