On finite-time consensus objectives in time-varying interconnected discrete linear dynamic systems under internal and external delays

Abstract

This article formulates the properties of achievable consensus of linear interconnected discrete systems with multiple internal and external point delays. The formulation is stated in an algebraic generic context as the ability of achievement of (a non-necessarily zero) finite-time common error between the various subsystems. The consensus signals are generically defined so that they can be, in general, distinct of the output or state components. However, the consensus signals of all the interconnected subsystems have the same dimension for coherency reasons. A particular attention is paid to the case of weak interconnection couplings in both the open-loop case and the closed-loop one under, in general, linear output feedback. Some further extensions are given related to consensus over intervals and related to consensus of positive interconnected systems.

Observer-Based Distributed Fault Detection for Heterogeneous Multi-Agent Systems

“…In comparison with the output-feedback-based COR problem in Reference [4], where the authors design two control laws, which correspond to two kinds of follower agents in the MAS, the first kind are called informed agents, i.e., measurement output y mi contains exogenous signal v, then v is detectable from y mi . The second kind are called uninformed agents, where measurement output y mi does not contain exogenous signal v. As Section 2 just considers that all the follower agents are uninformed, i.e., a special case of literature [2], a single control law (21) will realise COR if no fault occurs, where c > 0, and the designed K 1i and L i make A i + B i K 1i and A i + L i C mi Hurwitz stable, which is not contradicted with the existence conditions of observers (29), i.e., control law (21) and observers (29) could run simultaneously.…”

“…Recently, a large amount of literature on cooperative control of multi-agent systems (MAS) has emerged, which investigate this problem from different aspects, such as event-triggered and finite-time cooperative control [1,2]. Besides homogeneous MAS, research on heterogeneous MAS is also significant.…”