Decomposition-Based Distributed Control for Continuous-Time Multi-Agent Systems

Data-driven process decomposition and robust online distributed modelling for large-scale processes

“…In the past century, there were some process partition methods mainly based on the relative gain array (RGA) (Bristol, 1966;Campo & Morari, 1994). Later, its modified versions such as dynamic RGA (McAvoy, Arkun, Chen, Robinson, & Schnelle, 2003), relative energy gain array (Luo, Liu, & Xu, 2014;Naini, Fatehi & Sedigh, 2009) and interconnection pattern matrix (Ghadami & Shafai, 2013) were also widely studied. These methods realised the partition mainly by computing corresponding gain array from centralised system model.…”

Consensus of multiple nonholonomic chained form systems

“…The philosophy of ''decomposition'' is still adopted in [10] for dealing with robust stability of multiple LTI systems under time-varying topologies and communication delays. The framework of ''Decomposition'' can also be extended to the H ∞ and H 2 cooperative control problem of multiple LTI systems as shown in [11,12].…”

“…Under the assumption that u d 1 in system (2) is persistent excitation signal, the consensus problem of system (1) with the external reference (2) can be solved using the controllers (12) and (15) if the communication topology G is connected and at least one of the agent system can access the information of the reference system.…”

“…Due to cascaded theory of nonautonomous systems [34] and Lemma 3, we can claim that consensus of system (1) with external reference (2) can be reached among the N nonholonomic systems under the controllers (12) and (15) if the communication topology G is connected and at least one of the agent system can access the reference system.…”

Leader–follower guaranteed-cost consensualization for high-order linear swarm systems with switching topologies

“…However, each agent in high-order swarm systems is usually modeled as a general high-order linear model, which does not has a special structure feature, so their consensus problems are more complex. Consensus analysis and/or design problems for high-order linear swarm systems were investigated in [29][30][31][32][33][34][35].…”