H_∞ finite‐horizon filtering for complex networks with state saturations: The weighted try‐once‐discard protocol

Abstract

Summary This paper addresses the finite‐horizon H∞ filtering problem for a kind of discrete state‐saturated time‐varying complex networks subjected to the weighted try‐once‐discard (WTOD) protocol. Under the WTOD protocol, only the measurement signal from one sensor node is allowed to be transmitted to the filter at each time point, where such a node is selected based on a certain quadratic selection principle. The main purpose of this paper is to design an H∞ filter that guarantees the disturbance attenuation level on a given finite time‐horizon for the underlying complex network subject to both state saturations and WTOD protocols. By using the convex hull approach, sufficient conditions are first obtained to ensure the existence for the desired filter to achieve the H∞ performance specification by means of a few recursive matrix inequalities. Then, based on the obtained results, the filter parameters are designed, which cope effectively with both state saturations and communication protocols. Finally, a numerical simulation is employed to demonstrate the validity of the developed filter algorithm.

Robust Protocol‐Based ℋ∞ Consensus Control of Time‐Varying Uncertain Multiagent Systems Subject to Missing Measurements

“…Proof. It can be seen from Lemma 3 that the system (12) satisfies the prespecified H ∞ performance (21) if the solution P k to (25) can be calculated under the condition ϕ k > 0 and P 0 < c 2 (I N ⊗ W). In this case, we can express the disturbance in the worst case as ] � ] * k ≜ϕ − 1 k (D k + D 9 k ,k ) T P k+1 (A k + αD k + αL k )x k , and it can be known that the prespecified H ∞ performance (21) is satisfied.…”

“…Step 4. Calculate P k and Q k in equations (25) and (37), respectively. Let k � k − 1 until k � 0 stop, set back to the second step, else move on to the next step.…”

“…Accompanying with the continuous studies, more and more researchers find that multiple transmission protocols are efficacious in networks for the limited bandwidth. In order to prevent the transmission conflicts between the signals, a suitable communication protocol can be utilized, for example, the roundrobin protocol [17][18][19], the stochastic communication protocol (SCP) [20][21][22], and the try-once-discard protocol [23][24][25], and so on. Among these communication protocols, the SCP is widely used in the satellite network and wireless network.…”

“…Consider the DTVUMASs (1) under the SCP scheduling governed by (5). For given the disturbance attenuation level c > 0 and the positive definite matrix W, there exist controller parameters K k k∈[0,T] for the cooperative controllers (6), if there exist solutions ε k , P k , K k k∈[0,T] and Q k , K k k∈[0,T] satisfying the coupled BRRDEs (25) and (37) subject to (38) with the controller parameters given by…”

Distributed H∞-consensus control of nonlinear multi-agent systems under weighted try-once-discard protocol

“…To solve this problem, the communication protocol has been exploited to determine which neighbouring agent has the privilege to send information to the certain agent. There are many types of communication protocols commonly used in industry such as Round-Robin (RR) protocol (Bu, Dong, Han, Hou, & Li, 2019;Wan, Wang, Wu, & Liu, 2019), stochastic communication (SC) protocol (Wan, Wang, Han, & Wu, 2018) and weighted try-once-discard (WTOD) protocol (Shen, Wang, Shen, Alsaadi, & Alsaadi, 2020;Wang, Wang, Shen, & Li, 2019). It should be emphasized that the RR and SC protocols are independent on the measurement information, however, the WTOD protocol orchestrates the transmission orders in accordance with a designed quadratic selection rule which is dependent on the current measurement outputs.…”