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

Abstract EN

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.

The 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.

The 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 sufficient conditions are proposed by solving coupled backward recursive Riccati difference equations (BRRDEs) to guarantee the ℋ∞ consensus performance.

Finally, we present a numerical simulation example to illustrate the effectiveness of the designed controller design scheme.