H ∞ control for networked systems with data packet dropout

Abstract

This paper considers the H ∞ control problem of networked control systems, respectively, for the two cases that system state is available and unavailable. It is assumed that there exists a communication network in the feedback loop, and multiple data packet dropouts may happen. An estimation method is introduced to compensate the lost data. And then, the design of H ∞ control is considered for the states available and states unavailable, respectively, and some sufficient conditions are derived such that the closed-loop systems are exponentially mean-square stable with prescribed H ∞ disturbance attenuation level.

A Non-Uniform Predictor-Observer for a Networked Control System

“…So, a state predictor is required (considering that (1)-(2) could be unstable).  Due to the packet loss and time-varying delays, the 3 As a one-channel feedback setup is considered, the controller-toactuator delay does not appear. While the sensor-to-controller delay can be known at the controller device and considered to calculate the current control action, the controller-to-actuator delay (if considered) is not known at this time; therefore, no exact correction for this delay can be made in this moment, requiring some control techniques to deal with it (  H proposals, fuzzy methodologies, gain scheduling approaches, etc; see some references at the beginning of section 1).…”

“…Then, if the closed-loop poles are desired to be located in s=-2 and s=-1, the next state feedback controller gain is obtained: K= [3,2]. For simplicity, the observer is designed with a uniform dropout pattern N k =4, and locating its poles in .…”

“…Then, in NCS not only control requirements but also this kind of issues must be faced. In the last years, many authors have introduced different solutions, for example:  H proposals [3][4][5][6][7], fuzzy methodologies [8], gain scheduling approaches [9,10], together with adaptive predictors [11], dual-rate control strategies [12], packetbased transmission of several control signals [13,14], impulsive time-delay feedback controllers [15], etc.…”

Fuzzy Neural Network-based Time Delay Prediction for Networked Control Systems

“…In point-to-point system the number of needed wire increases very much proportional to the number of sensor and actuator. Because of this problem networked control systems (NCS) are widely used in control areas [1,2,3].…”

H 2/H ∞ control of networked control system with random time delays

“…However, the communication networks in control loops also have some constraints such as time delays and packet dropouts, which complicate the analysis and design of NCSs. Great efforts have been made on stability analysis, controller design for stabilization and performance of NCSs in the past several years [4][5][6][7][8][9][10][11][12][13][14].…”