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

Abstract

In this paper, we consider the design problem of a robust H ∞ consensus controller for discrete time-varying uncertain multiagent systems (DTVUMASs) with stochastic communication protocol (SCP) and missing measurements. e SCP is described by a set of random variables with a known probability to arrange signal transmission of addressed multiagent systems. Moreover, we depict the missing measurement phenomenon by a sequence of Bernoulli-distributed random variables having known probabilities. e controller parameters are designed to ensure that the closed-loop DTVUMASs satisfy the H ∞ performance with the satisfactory consensus criterion. Together with the completing squares approach and the stochastic analysis methodology, some su cient conditions are proposed by solving coupled backward recursive Riccati di erence equations (BRRDEs) to guarantee the H ∞ consensus performance. Finally, we present a numerical simulation example to illustrate the e ectiveness of the designed controller design scheme. e consensus control problems for rst-order multiagent systems with switching topology and time delays were studied in [1], and the initiative works were conducted to solving the consensus control problems of rst-order multiagent systems (FOMASs). Since then, some control problems under certain requirements were investigated for complex dynamical systems by taking the in uences caused by nonlinearities, quantization, transmission losses, and communication noise into account, see, e.g., [3][4][5]. Besides, the consensus control problems of second-order multiagent systems (SOMASs) also received a lot of research attention. For example, the e ects of xed topology and switching topology were discussed in [6-9] and related methods were given. Subsequently, in [10], the leader-following consensus control problems of high-order multiagent systems (HOMASs) were solved by using a novel distributed eventtriggered communication protocol based on state estimates of neighboring agents. In recent years, more and more researchers pay attention to the consensus control problems for general multiagent systems (GMASs) [2,[11][12][13], where some new consensus methods were presented by designing the controller parameters. For instance, a new non-fragile consensus control method based on the output feedback technique was provided to tackle the deception attacks in quantized GMASs.Generally, we all expect the unlimited bandwidth during the communications in order to obtain satisfactory control performance, but it cannot be ensured in the engineering Hindawi Complexity