Synchronizing linear systems via partial-state coupling

2008-08-01
A basic result in the synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their Outputs and neutrally stable, it is shown that a linear Output feedback law exists under which the Coupled systems globally asymptotically synchronize for all fixed connected (asymmetrical) network topologies. An algorithm is provided to Compute Such a feedback law based on individual system parameters.

Suggestions

Synchronization under matrix-weighted Laplacian
Tuna, Sezai Emre (Elsevier BV, 2016-11-01)
Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain for each pair of systems, which ensures that all the solutions converge to a common trajectory.
Synchronization of linear oscillators coupled through a dynamic network with interior nodes
Tuna, Sezai Emre (Elsevier BV, 2020-07-01)
Synchronization is studied in an array of identical linear oscillators of arbitrary order, coupled through a dynamic network comprising dissipative connectors (e.g., dampers) and restorative connectors (e.g., springs). The coupling network is allowed to contain interior nodes, i.e., those that are not directly connected to an oscillator. It is shown that the oscillators asymptotically synchronize if and only if the Schur complement (with respect to the boundary nodes) of the complex-valued Laplacian matrix ...
Synchronization of linear systems via relative actuation
Tuna, Sezai Emre (Elsevier BV, 2019-12-01)
Synchronization in networks of discrete-time linear time-invariant systems is considered under relative actuation. Neither input nor output matrices are assumed to be commensurable. A distributed algorithm that ensures synchronization via dynamic relative output feedback is presented.
Conditions for Synchronizability in Arrays of Coupled Linear Systems
Tuna, Sezai Emre (2009-10-01)
Synchronization in arrays of coupled continuous-time linear systems is studied. Sufficiency of certain conditions for the existence of a synchronizing feedback law are analyzed. It is shown that, for neutrally stable systems that are detectable from their outputs, a linear feedback law exists under which any number of coupled systems synchronize provided that the (directed, weighted) graph describing the interconnection is fixed and connected. An algorithm generating one such feedback law as well as the tra...
Adaptive output feedback control with reduced sensitivity to sensor noise
Kutay, Ali Türker; Hovakimyan, N (2003-01-01)
We address adaptive output feedback control of uncertain nonlinear systems with noisy output measurements, in which both the dynamics and the dimension of the regulated system may be unknown, and only the relative degree of the regulated output is assumed to be known. Given a smooth reference trajectory, the problem is to design a controller that forces the system measurement to track it with bounded errors. A recently developed method proposes the use of a linear error observer that estimates the tracking ...
Citation Formats
S. E. Tuna, “Synchronizing linear systems via partial-state coupling,” AUTOMATICA, pp. 2179–2184, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39527.