Robust H_∞ output feedback design for networked control systems with partially known delay probabilities

Abstract

SummaryThis article develops a predictive robust H∞ static output feedback control approach for networked control systems where random network‐induced delays in both forward and feedback communication channels are modeled as two mutually uncorrelated Markov chains. By making use of the system augmentation method, the closed‐loop system is formulated as a singular Markovian jump system with two modes, wherein the transition probability matrices of the underlying Markov chains are considered to be partially accessible. Necessary and sufficient conditions for the stochastic admissibility and robust H∞ performance of the closed‐loop system are given under the assumption of partially known transition probability matrices. A linear matrix inequality condition is proposed to determine the two‐mode‐dependent static output feedback controller gains to compensate for the random network‐induced delays efficiently and provide the desired control performance. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Effects of Communication Signal Delay on the Power Grid: A Review

“…As you can see from the other studies we have done, it has been shown that the stability index we have shown above fuzzy you find gives less results than those who have used other methods as shown in this paper [92,102]. Comparisons with [17,81] have also been made in [65] and it has been shown that their chosen method provides the best system in the event of a communication delay compared to the other two. Thus, the major controller provided in [65] seems to be a choice that should be compared to Lyapunov based indirect method.…”

“…In Ref. [65], the authors discussed the LMI method to better compensate for the delay caused by the delay and to provide the desired performance [39]. The authors of [66] used the NN method to accurately compare the TDS attack in real-time and to assess the delay in the NCS system to see its safety effects on two power systems.…”

Static output feedback control of uncertain systems over uncertain communication links with guaranteed H∞ performance

“…Moreover, the computational time is reduced compared with the methods in Shi and Yu 22 and Shi and Yu 17 Different from previously published articles (see References 18,32,34‐37), the proposed LMI design condition does not impose any restrictions on the auxiliary matrices, which leads to less conservatism. This will be verified by simulation studies. Compared with the previously published articles (see References 18,22,31,38), the proposed design condition can handle the parameter uncertainties on all of the state‐space matrices of the controlled‐plant, which is a significant improvement from the viewpoint of practical applications.…”

Nonconservative Distributed Control Over Real-Time Network Links

“…the equations (11a) through (11d) can be combined as (15a) and the equations (11e) through (11g) can be combined as (15b) in the following with the matrix coefficients in (16).…”

“…Other forms of communication constraints include limited bitrate [13], [14] and limited channel access [15], [1]. In some of the works, additional componenets such as predictor [16], [17] or eventtriggering mechanism [12], [18], [19] are used to improve control or communication performance.…”