Practical Synchronization in Networks of Nonlinear Heterogeneous Agents With Application to Power Systems

Chowdhury, Dhrubajit; Khalil, Hassan K.

doi:10.1109/tac.2020.2981084

Cited by 30 publications

(12 citation statements)

References 40 publications

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“…Consensus, a prevalent objective in multi‐agent systems (MASs), has received considerable attention, due to its essentiality over other objectives and the ubiquity of MASs 1‐17 . Ever since its emergence, asymptotic consensus aiming at the final agreement (as time grows infinitely) has been the research emphasis, 1,3,5‐9 which concerns the steady‐state behaviors while ignoring the transient behaviors such as the convergence rate and maximum overshoot. But, the transient behaviors, decisive for the transient performance such as rapidity and reliability, are also the key to many practical applications 18,19 …”

Section: Introductionmentioning

confidence: 99%

“…Consensus, a prevalent objective in multi-agent systems (MASs), has received considerable attention, due to its essentiality over other objectives and the ubiquity of MASs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] Ever since its emergence, asymptotic consensus aiming at the final agreement (as time grows infinitely) has been the research emphasis, 1,3,[5][6][7][8][9] which concerns the steady-state behaviors while ignoring the transient behaviors such as the convergence rate and maximum overshoot. But, the transient behaviors, decisive for the transient performance such as rapidity and reliability, are also the key to many practical applications.…”

Section: Introductionmentioning

confidence: 99%

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Performance‐prescribed consensus for uncertain nonlinear multi‐agent systems under directed graph

Liu

2022

Intl J Robust & Nonlinear

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Whether or not system performance can be prescribed by users is one core issue for almost all control problems, of course for multi-agent control systems. But it could pose stern constraints on or exceptions to systems and control methods. How can one guarantee the prescribed performance while covering much more systems? It deserves deep study and particularly entails the integration/reformation of the related techniques. In the paper, we are concerned with the leaderless consensus with a prescribed convergence rate, aiming at n-dimensional multi-agent systems typically with unknown heterogeneous nonlinearities under a directed graph. In view of the essence of the problem, we resort to a powerful time-varying high-gain method, that is, funnel control. Specifically, to suppress unknown system nonlinearities and guarantee the prescribed performance, funnel gains are devised by utilizing the relative states and a time-varying design function. Integrating them as well as a series of intermediate variables, a distributed consensus protocol is obtained without involving any global graph information. Remark that besides being used to construct funnel gains, the time-varying design function is also introduced as a part of the protocol, substantially enhancing the control effect and playing a key role in forcing the relative states to ultimately converge to zero. It is shown that under the proposed protocol, the desired consensus is achieved with a prescribed convergence rate. A simulation example is given to illustrate the effectiveness of the theoretical result.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Performance‐prescribed consensus for uncertain nonlinear multi‐agent systems under directed graph

Liu

2022

Intl J Robust & Nonlinear

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“…Hence, the nonlinear system is an important subject of interest to engineers, physicists, mathematicians, and scientists. Some engineering and scientific applications of the nonlinear systems can be found in [8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

FPGA Realization of Spherical Chaotic System with Application in Image Transmission

Nuñez-Perez

Adeyemi

Sandoval-Ibarra³

et al. 2021

Mathematical Problems in Engineering

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This paper considers a three-dimensional nonlinear dynamical system capable of generating spherical attractors. The main activity is the realization of a spherical chaotic attractor on Intel and Xilinx FPGA boards, with a focus on implementation of a secure communication system. The first major contribution is the successful synchronization of two chaotic spherical systems, in VHDL program, in a master-slave topology using Hamiltonian forms. The synchronization errors show that the two spherical chaotic systems synchronize in a very short time after which the error signals become zero. The second major contribution is the FPGA realization of a spherical chaotic attractor-based secure communication system, which involves encrypting both grayscale and RGB images with chaos and diffusion key at the transmitting system, sending the encrypted image via the state variables, and reconstructing the encrypted image at the receiving system. The Intel Stratix III and Xilinx Artix-7 AC701 results are the same as those of MATLAB. The statistical analyses of the encrypted and received images show that the implemented system is very effective, as it reveals high degree of randomness in the encrypted images with the entropy test, and the obtained correlation coefficient, which is zero, removes relativity between the original and encrypted images. Finally, the transmission system fully recovers the original grayscale and RGB images without loss of information.

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“…Yao, Park, Wu, and Guo [29] proposes a DOBC anti-disturbance method for the singular MJSs. In [30,31], the extended high-gain observer is designed to estimate the perturbation and further apply it to the multi-agent systems.…”

Section: Introductionmentioning

confidence: 99%

Integral Sliding Mode Anti-Disturbance Control for Markovian Jump Systems with Mismatched Disturbances

Shen

Zhang

2021

Electronics

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This paper addresses an integral sliding mode-based anti-disturbance control algorithm for a type of Markovian jump systems (MJSs), which are influenced by different types of mismatched disturbances. On one hand, as for those disturbances that can be modeled, the disturbance observer (DO) method is introduced to realize the dynamical estimation of disturbances. Based on this, both the integral sliding surface (ISS) and the composite anti-disturbance controller are proposed in succession for rejecting unknown disturbances and guaranteeing the stability of the controlled MJS. Meanwhile, the states of the controlled system are ensured to reach ISS within a finite time. In addition, the L1 performance index is given to attenuate the effects of bounded disturbances. The controller and observer gains can be computed by using convex optimization techniques. The satisfactory stochastic stability and dynamical tracking performance are both also proved. Finally, the simulation results effectively verify all of the required performances.

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Practical Synchronization in Networks of Nonlinear Heterogeneous Agents With Application to Power Systems

Cited by 30 publications

References 40 publications

Performance‐prescribed consensus for uncertain nonlinear multi‐agent systems under directed graph

Performance‐prescribed consensus for uncertain nonlinear multi‐agent systems under directed graph

FPGA Realization of Spherical Chaotic System with Application in Image Transmission

Integral Sliding Mode Anti-Disturbance Control for Markovian Jump Systems with Mismatched Disturbances

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