Output‐based event‐triggered control of networked systems subject to bilateral packet dropouts

Abstract

In this paper, an output-based event-triggered control problem of discrete-time networked control systems (NCSs) subject to bilateral packet dropouts is investigated. In view of stochastic sequences of packet dropouts in the measurement channels (from sensors to controller) and the control channels (from controller to actuators), the NCS is converted into a closed-loop stochastic parameter system. In the aid of a Lyapunov functional based on stochastic variables, the sufficient conditions on design of a dynamic output feedback control law and bilateral event-triggering conditions are derived to guarantee the exponentially mean-square stability for NCSs. Furthermore, an improved iterative algorithm is given to obtain the output-based control law and event-triggering parameters from a set of nonconvex inequalities. Finally, a numerical example and the corresponding simulation results are given to illustrate the validity and applicability of the developed techniques.

Event‐triggered networked cascade control systems design subject to hybrid attacks

“…Positive scalar 𝛾 p , 𝛾 s , and controller gain matrix K are given. The closed-loop system (10) is stochastically stable and satisfies the  ∞ performance indexes (11) and (12) for any nonzero 𝜔 ∈  2 [0, ∞), if there exist positive definite matrices P = diag{P p , P s }, Q, R, Ω = diag{Ω p , Ω s } ∈ R n×n , where P p , Ω p ∈ R n p ×n p , P s , Ω s ∈ R n s ×n s are symmetric matrices, any matrix M ∈ R n×n , positive definite diagonal matrix Λ ∈ R n×n , such that the following conditions hold:…”

“…Positive scalar 𝛾 p , 𝛾 s , and 𝜀 are given. The closed-loop system (10) is stochastically stable and satisfies the  ∞ performance indexes (11) and (12)…”

“…The use of data transmission networks has been widely expanded in the industry due to several advantages such as less wiring, lower installation costs, facility of system maintenance, and diagnostics. Besides its advantages, this technology has brought many challenges such as communication delays [7,8], quantization errors [9,10], and packet dropouts [11,12]. The use of communication networks in a control system brings a new research field called networked control system (NCS) which motivates many theoretical investigations [13][14][15][16][17].…”

Bipartite consensus of linear multi‐agent systems with intermittent event‐triggered protocols

“…In Hu et al [28], consensus of nonlinear MASs with intermittent dynamic event‐triggered protocols was studied. In Li et al [29], an output‐based event‐triggered control problem of discrete‐time networked control systems subject to bilateral packet dropouts was investigated. In Tian et al [30] and Liu et al [31], adaptive event‐triggered consensus of general linear MASs was studied.…”