access icon free Output consensus of high-order linear multi-agent systems with time-varying delays

In this study, the problem of output consensus control for high-order continuous-time linear multi-agent systems with interval time-varying delays is investigated. The observability decomposition technique is employed to design the output consensus protocols which are the collections of delayed output information from neighbouring agents. On the basis of invertible transformations, output consensus for the concerned dynamical agents is transformed into the problem of asymptotical stability analysis for some lower dimensional subsystems. By introducing the prescribed convergence rate scalar into the constructed delay-dependent Lyapunov functionals, the framework for output consensus analysis is theoretically derived. Benefitting from the method of slack matrix variables, sufficient conditions are obtained in terms of linear matrix inequalities to design the protocol gain matrices which can guarantee the property of output consensus. Moreover, the output consensus function determined merely by the initial states of dynamic agents and consensus protocol is presented without the influences of time-varying delays. Numerical examples are exploited to illustrate the effectiveness of the derived results.

Inspec keywords: linear systems; time-varying systems; matrix algebra; linear matrix inequalities; continuous time systems; Lyapunov methods; multi-agent systems; delays; asymptotic stability; discrete time systems; control system synthesis

Other keywords: continuous-time linear multiagent systems; dynamic agents; constructed delay-dependent Lyapunov functionals; interval time-varying delays; concerned dynamical agents; output consensus control; high-order linear multiagent systems; consensus protocol; delayed output information; neighbouring agents; output consensus analysis; output consensus function; output consensus protocols; linear matrix inequalities

Subjects: Stability in control theory; Algebra; Distributed parameter control systems; Discrete control systems; Control system analysis and synthesis methods; Combinatorial mathematics; Linear control systems

http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2018.5945
Loading

Related content

content/journals/10.1049/iet-cta.2018.5945
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading