Synchronization of complex networks in discrete-time for trajectory tracking using neural sliding modes with pinning control

In this paper, we present an impulsive pinning control algorithm for discrete-time complex networks with different node dynamics, using a linear algebra approach and a neural network as an identifier, to synthesize a learning control law. The model of the complex network used in the analysis has unknown node self-dynamics, linear connections between nodes, where the impulsive dynamics add feedback control input only to the pinned nodes. The proposed controller consists of the linearization for the node dynamics and a reorder of the resulting quadratic Lyapunov function using the Rayleigh quotient. The learning part of the control is done with a discrete-time recurrent high order neural network used for identification of the pinned nodes, which is trained using an extended Kalman filter algorithm. A numerical simulation is included in order to illustrate the behavior of the system under the developed controller. For this simulation, a 20-node complex network with 5 different node dynamics is used. The node dynamics consists of discretized versions of well-known continuous chaotic attractors.

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Quadrotor novel model for trajectory tracking using neural sliding modes in discrete-time

2020 17th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE) ◽

10.1109/cce50788.2020.9299194 ◽

2020 ◽

Author(s):

Julio A. Florez ◽

Luz A. Vega ◽

Edgar N. Sanchez ◽

Alexander G. Loukianov

Keyword(s):

Discrete Time ◽

Trajectory Tracking ◽

Sliding Modes ◽

Novel Model

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Partial Component Consensus of Discrete-Time Multiagent Systems

Mathematical Problems in Engineering ◽

10.1155/2019/4725418 ◽

2019 ◽

Vol 2019 ◽

pp. 1-5

Author(s):

Wenjun Hu ◽

Gang Zhang ◽

Zhongjun Ma ◽

Binbin Wu

Keyword(s):

Multiagent Systems ◽

Discrete Time ◽

Matrix Theory ◽

Pinning Control ◽

Directed Network ◽

Strong Function ◽

Partial Stability ◽

Partial Component ◽

The Matrix ◽

Error System

The multiagent system has the advantages of simple structure, strong function, and cost saving, which has received wide attention from different fields. Consensus is the most basic problem in multiagent systems. In this paper, firstly, the problem of partial component consensus in the first-order linear discrete-time multiagent systems with the directed network topology is discussed. Via designing an appropriate pinning control protocol, the corresponding error system is analyzed by using the matrix theory and the partial stability theory. Secondly, a sufficient condition is given to realize partial component consensus in multiagent systems. Finally, the numerical simulations are given to illustrate the theoretical results.

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