Observer-based H _∞ control for networked systems with bounded random delays and consecutive packet dropouts

Abstract

SUMMARYThis paper is concerned with the H ∞ control problem for a class of systems with bounded random delays and consecutive packet dropouts that exist in both sensor‐to‐controller channel and controller‐to‐actuator channel during data transmission. A new model is developed to describe possible random delays and packet dropouts by two groups of Bernoulli distributed stochastic variables. To avoid the state augmentation, a full‐order observer‐based feedback controller is designed via LMI approach. Based on the Lyapunov theory, a sufficient condition is provided to guarantee the closed‐loop networked system to be asymptotically mean‐square stable and achieve the prescribed H ∞ disturbance‐rejection‐attenuation level. The simulation examples illustrate the effectiveness of the proposed method. Copyright © 2013 John Wiley & Sons, Ltd.

control for networked stochastic non‐linear systems with randomly occurring sensor saturations, multiple delays and packet dropouts

“…Remark 6 As for the imperfect network transmission, there are three strategies for the controller design. The first is zero‐input strategy [7], the second is hold‐input strategy [40] and the third is prediction‐input strategy [41]. In this paper, if we let , we can obtain It can be seen that the multiple packets are used to design the controller.…”

“…Many researchers have devoted themselves to investigating the control problem for such a system, e.g. Linear‐ Quadratic‐Gaussian (LQG) control [5], output tracking control [6], control [7], finite‐horizon reliable control [8] and so on. In practical engineering applications, the time‐stamp technique [9, 10] is often employed to get to know whether a packet is received or not and a finite memory buffer is also used at the receiver side for a finite maximum delay.…”

H∞filtering for networked linear systems with multiple packet dropouts and random delays

“…For this case, the H method is taken as an alternative method. A great number of important results for the H control problems have been reported [13][14][15][16]. As for H filtering problem, the objective is to minimize the highest energy gain of the estimation error for all initial conditions and noises where the noise signals are assumed to be arbitrary but with bounded energy or bounded average power rather than just Gaussian.…”

Event-triggeredH∞control for a class of nonlinear networked control systems using novel integral inequalities

“…However, due to limited bandwidth of a communication network, the occurrence of network‐induced delays and other unfavorable factors usually makes the H ∞ control problem of an NCS more complicated. Therefore, much attention has been paid to an H ∞ control issue for NCSs .…”

“…unfavorable factors usually makes the H 1 control problem of an NCS more complicated. Therefore, much attention has been paid to an H 1 control issue for NCSs [17][18][19][20][21][22].In an NCS, signals from a plant node are usually sampled periodically. Traditionally, all the sampled data packets are released to a shared communication network for transmission to a controller node.…”