scholarly journals Distributed Coordination of Fractional Dynamical Systems with Exogenous Disturbances

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hongyong Yang ◽  
Fujun Han ◽  
Fei Liu ◽  
Huixia Liu ◽  
Mei Zhao

Distributed coordination of fractional multiagent systems with external disturbances is studied. The state observer of fractional dynamical system is presented, and an adaptive pinning controller is designed for a little part of agents in multiagent systems without disturbances. This adaptive pinning controller with the state observer can ensure multiple agents' states reaching an expected reference tracking. Based on disturbance observers, the controllers are composited with the pinning controller and the state observer. By applying the stability theory of fractional order dynamical systems, the distributed coordination of fractional multiagent systems with external disturbances can be reached asymptotically.

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
Fujun Han ◽  
Yize Yang ◽  
Hong-Yong Yang

Flocking motion of multiagent systems is influenced by various external disturbances in complex environment. By applying disturbance observer, flocking of multiagent systems with exogenous disturbances is studied. Based on the robust features of impulsive control, a distributed impulsive control protocol is presented with disturbance observer, and flocking motion of multiagent systems is analyzed. Moreover, a sufficient condition is obtained to ensure the flocking motion of multiagent systems following a leader. Finally, simulation results show the validity of the theoretical conclusion.


Author(s):  
Gerardo De La Torre ◽  
Tansel Yucelen

In this paper, we present adaptive architectures for networked multiagent systems operating over directed networks to achieve resilient coordination in the presence of disturbances. Specifically, we consider a class of unforeseen adverse conditions consisting of persistent exogenous disturbances and present a state emulator-based distributed adaptive control architecture to retrieve the nominal networked multiagent system behavior. The stability properties of the proposed architecture are analyzed using results from Lyapunov stability and matrix mathematics. Illustrative numerical examples are provided to demonstrate the theoretical findings.


1975 ◽  
Vol 97 (4) ◽  
pp. 393-398
Author(s):  
J. R. Dickerson ◽  
P. Erickson

The stability of a closed loop of vehicles which are controlled by identical functions of the state of neighboring vehicles is investigated. The paper is divided into two parts, formulation and stability results for cyclic dynamical systems and, application of these results to three example problems with comparison to exact results when possible.


Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Yi Yuan ◽  
Shamrie Sainin Mohd ◽  
Yanhui Zhu

This paper investigates the bipartite consensus of linear discrete-time multiagent systems (MASs) with exogenous disturbances. A discrete-time disturbance-observer- (DTDO-) based technology is involved for attenuating the exogenous disturbances. And both the state feedback and observer-based output feedback bipartite consensus protocols are proposed by using the DTDO method. It turned out that bipartite consensus can be realized under the given protocols if the topology is connected and structurally balanced. Finally, numerical simulations are presented to illustrate the theoretical findings.


2018 ◽  
Vol 41 (3) ◽  
pp. 760-767 ◽  
Author(s):  
Ahmadreza Jenabzadeh ◽  
Behrouz Safarinejadian

This paper investigates the tracking control problem of multiagent systems with Lipschitz nonlinearities and external disturbances that track a target with states that are not available to any of the agents. For this purpose, a distributed estimation and control algorithm (DECA) is firstly designed for each agent to estimate and track the target’s states. Then, the proposed DECA is extended based on a finite time disturbance estimator for tracking control in the presence of external disturbances. The stability analysis of suggested algorithms is also considered. Simulation examples illustrate the promising performance of the proposed algorithms.


2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Lipo Mo ◽  
Tingting Pan ◽  
Shaoyan Guo ◽  
Yuguang Niu

This paper is devoted to the coordination control problem of heterogeneous first- and second-order multiagent systems with external disturbances. First, by applying the theory of eigenvalue and the method of model transformation, the consensus state of heterogeneous multiagent systems is obtained. Then, based on the consensus state, the control output is defined, and sufficient conditions are derived to make all agents reach consensus withH∞performance. Finally, simulation results are provided to demonstrate the effectiveness of the presented results.


2019 ◽  
Vol 3 (6) ◽  
pp. 1
Author(s):  
Muhannad Al Janabi Al Janabi

Since late 2010 and early 2011, the Arab region has witnessed mass protests in Tunisia, Egypt, Libya, Syria, Yemen, Iraq, Bahrain and other countries that have been referred to in the political, media and other literature as the Arab Spring. These movements have had a profound effect on the stability of the regimes Which took place against it, as leaders took off and contributed to radical reforms in party structures and public freedoms and the transfer of power, but it also contributed to the occurrence of many countries in an internal spiral, which led to the erosion of the state from the inside until it became a prominent feature of the Arab) as is the case in Syria, Libya, Yemen and Iraq.


Author(s):  
Olena Pikaliuk ◽  
◽  
Dmitry Kovalenko ◽  

One of the main criteria for economic development is the size of the public debt and its dynamics. The article considers the impact of public debt on the financial security of Ukraine. The views of scientists on the essence of public debt and financial security of the state are substantiated. An analysis of the dynamics and structure of public debt of Ukraine for 2014-2019. It is proved that one of the main criteria for economic development is the size of public debt and its dynamics. State budget deficit, attracting and using loans to cover it have led to the formation and significant growth of public debt in Ukraine. The volume of public debt indicates an increase in the debt security of the state, which is a component of financial security. Therefore, the issue of the impact of public debt on the financial security of Ukraine is becoming increasingly relevant. The constant growth and large amounts of debt make it necessary to study it, which will have a positive impact on economic processes that will ensure the stability of the financial system and enhance its security.


Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1434 ◽  
Author(s):  
Wonhee Kim ◽  
Sangmin Suh

For several decades, disturbance observers (DOs) have been widely utilized to enhance tracking performance by reducing external disturbances in different industrial applications. However, although a DO is a verified control structure, a conventional DO does not guarantee stability. This paper proposes a stability-guaranteed design method, while maintaining the DO structure. The proposed design method uses a linear matrix inequality (LMI)-based H∞ control because the LMI-based control guarantees the stability of closed loop systems. However, applying the DO design to the LMI framework is not trivial because there are two control targets, whereas the standard LMI stabilizes a single control target. In this study, the problem is first resolved by building a single fictitious model because the two models are serial and can be considered as a single model from the Q-filter point of view. Using the proposed design framework, all-stabilizing Q filters are calculated. In addition, for the stability and robustness of the DO, two metrics are proposed to quantify the stability and robustness and combined into a single unified index to satisfy both metrics. Based on an application example, it is verified that the proposed method is effective, with a performance improvement of 10.8%.


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