Constructing Consensus Controllers for Networks with Identical General Linear Agents

Abstract

SUMMARYWe use a high-gain methodology to construct linear decentralized controllers for consensus, in networks with identical but general multi-input linear time-invariant (LTI) agents and quite-general time-invariant and time-varying observation topologies.

Adaptation and optimization of the synchronization gains in the adaptive spacecraft attitude synchronization

“…With control architecture (13), adaptive laws (15) and (16) and imposing Assumption 1, the attitude synchronization of the closed loop systems (14) achieves synchronization in the sense of (8) by choos-…”

“…The (true) inertia matrices for each spacecraft were taken as J 1 = diag(17,12,9), J 2 = diag(14, 13, 10), J 3 = diag(20,10,9) and J 4 = diag(15,9,16), and the actual external disturbances were chosen as d ext,1 = 2.2, d ext,2 = 1.4, d ext,3 = 1.5, d ext,4 = 0.8.…”

Synchronization in networks of minimum-phase, non-introspective agents without exchange of controller states: Homogeneous, heterogeneous, and nonlinear

“…The difficulty of this control problem lies in the limited information available to each agent-typically in the form of measurements of its own state or output relative to that of neighboring agents. Some of the work on synchronization is focused on state synchronization based on diffusive state coupling, progressing from single-and double-integrator agent dynamics (e.g., Olfati-Saber & Murray, 2003, 2004Ren & Atkins, 2007) to more general agent dynamics (e.g., Tuna, 2008a;Yang, Roy, Wan, & Saberi, 2011). State synchronization based on diffusive partial-state coupling has also been considered by several authors (e.g., Pogromsky & Nijmeijer, 2001;Pogromsky, Santoboni, & Nijmeijer, 2002;Tuna, 2008b).…”

Synchronisation of linear high‐order multi‐agent systems: an internal model approach

“…The necessary and sufficient condition of synchronisation of the double-integrator multi-agent systems was presented in [2], where the qualifiable feedback gains closely depend on complex eigenvalues of the Laplacian matrix. In [3], a static state-feedback controller based on high-gain technique was presented for synchronisation of agents whose coupled matrix has arbitrary row sums. In [4], state-feedback controllers subject to input saturation are presented for leader-following synchronisation problem for some digraphs satisfying strongly connected and detailed balanced condition.…”