Admissible consensus for heterogeneous descriptor multi-agent systems

Cooperative optimal preview tracking for linear descriptor multi-agent systems

“…Thus for, the original cooperative preview tracking problem has been transformed into optimal regulation problems under systems (18), for which the optimal controller () vi ut is determined to minimize the performance function (19)…”

“…In terms of Lemma 9, a constructive method is adopted to derive optimal preview controllers associated with system (18) and quadratic performance function (19).…”

“…On account of their special features, such as regularity and impulse mode [14][15][16]38], consensus problems for descriptor multi-agent systems are more complicated and challenging than those of normal multi-agent systems. The admissible consensus problems for descriptor multi-agent systems were discussed in [17][18][19], where static output feedback and dynamical output feedback were utilized in [17] and [18], respectively, and the scenario of descriptor heterogeneous multi-agent systems was treated in [19]. By resorting to feedforward control technique and reduced-order design, the authors of [20] settled the cooperative output regulation problem of singular heterogenous multi-agent systems.…”

Consensus conditions for higher-order descriptor multi-agent systems with communication time-delays

“…In order to achieve control purpose, novel observer-based control protocols were presented for DMASs (Gao et al, 2017). Yang and Liu (2016) achieved admissible consensus of DMASs and agents were described by different dynamics. The exogenous disturbance observer was presented to reach admissible consensus (Zhang and Wang, 2018).…”

Consensus tracking control via iterative learning for singular multi‐agent systems

“…In [37], the guaranteed‐cost consensus analysis and design problems for high‐order singular MASs with switching topologies were investigated. For heterogeneous singular MASs, a novel protocol with a state feedback was proposed in [38] to solve the admissible consensus problem. In [39], the admissible consensus problem was considered for networked singular MASs with communication delays.…”