H_∞output tracking control for uncertain networked control systems via a switched system approach

Abstract

Summary In this paper, the problem of H∞ output tracking control for networked control systems with random time delays and system uncertainties is investigated. Effective sampling instant that is tightly related with transmission delay from sensor to actuator is proposed to ensure that the random variable time delay is always shorter than one effective sampling period. By using both active time‐varying sampling period strategy and hybrid node‐driven mechanism, the switching instant is coincided with the effective sampling instant. An augmented time‐varying networked tracking system model is provided by including the output tracking error as an additional state. However, random transmission delay causes indeterminate sampling period, which induces infinite subsystems. Gridding approach is introduced to transform the continuous time axis into discrete‐time sequences, which guarantees the finite number of switching rules. By employing multiple Lyapunov–Krasovskii functions, linear matrix inequality (LMI)‐based output tracking H∞ performance analysis is presented, and robust switching H∞ model reference tracking controller for networked control systems with communication constraints and system uncertainties is designed to guarantee asymptotic tracking of prescribed reference outputs while rejecting disturbances. Finally, simulation results illustrate the correctness and effectiveness of the proposed approaches. Copyright © 2015 John Wiley & Sons, Ltd.

Chattering‐Free Sliding Mode Control for Networked Control System with Time Delay and Packet Dropout Based on a New Compensation Strategy

“…Step 2. Obtain the system sliding mode regular form (16a) and (16b) through linear transformation = , where the definition of nonsingular matrix ∈ R × is given by (14) and (15).…”

“…Firstly, since time delay and packet dropout usually exist simultaneously in the real network, it is important to establish a model to handle them in a common framework. Various modeling methods have been proposed including time delay system model [11], switched system model [12][13][14], asynchronous dynamical system model [15,16], and stochastic system model [6,8,9,[17][18][19][20][21][22][23][24][25]. Among them, stochastic system model becomes popular in recent years and one of the most 2 Complexity used ways is to adopt a Markov discrete-time linear system to describe random time delay or packet dropouts [9, 20-22, 24, 25].…”

Model Reference Control for Linear Time-Varying Systems: A Direct Parametric Approach

“…functions technique is adopted to discuss the output tracking control with L 1 -gain performance in [13]. Based on Lyapunov-Krasovskii functions and linear matrix inequalities (LMIs), the output tracking H ∞ performance analysis is presented and the corresponding robust switching H ∞ output tracking control is designed for networked control systems with system uncertainties [14]. Besides, based on an interval type-2 (IT2) fuzzy Takagi-Sugeno model, a novel fuzzy tracking controller is given to achieve the tracking of nonlinear networked systems [15].…”

Robust reliable H∞ control design for networked control systems with nonlinear actuator faults and randomly missing measurements

“…Therefore, uncertain NCSs have been widely investigated in recent years . The problem of output tracking control has been discussed for NCSs with random time delays and system uncertainties . Except for system uncertainties, a networked‐induced delay is one of the typical characteristics of NCSs and also needs to be discussed.…”

“…9 The problem of output tracking control has been discussed for NCSs with random time delays and system uncertainties. 12 Except for system uncertainties, a networked-induced delay is one of the typical characteristics of NCSs and also needs to be discussed. Since NCSs are usually modeled by communication networks, network-induced delays always exist and can affect system performance.…”