Control
Farshid Aazam Manesh; Elham Amini Boroujeni; Fateme Bazarkhak; Mahdi pourgholi
Abstract
In this paper, an observer-based controller design for fractional-order multi-agent systems is discussed. By introducing a novel algorithm and leveraging appropriate lemmas and theoretical frameworks, we propose a stable observer and a distributed consensus protocol tailored for multi-agent systems within ...
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In this paper, an observer-based controller design for fractional-order multi-agent systems is discussed. By introducing a novel algorithm and leveraging appropriate lemmas and theoretical frameworks, we propose a stable observer and a distributed consensus protocol tailored for multi-agent systems within the Lipschitz and one-sided Lipschitz classes of nonlinear systems. Lipschitz systems have a bounded rate of change, ensuring proportional output to input differences, while one-sided Lipschitz systems relax this constraint, allowing differential growth in one direction for efficiency. The stability of the observer and the controller in achieving the consensus problem is demonstrated using the Lyapunov's second method. The proposed approach is rigorously developed, ensuring that the designed observer and controller meet the necessary stability criteria. Extensive simulation results validate the theoretical findings, showcasing the method's effectiveness and robustness in practical scenarios. Specifically, the simulations demonstrate that the proposed method achieves global Mittag-Leffler stability, with the estimated states converging to the actual states with minimal deviation. The method's advantages include its ability to handle a broader class of nonlinear systems, including those with large Lipschitz constants, and its robustness to uncertainties and nonlinearities. These simulations confirm the theoretical predictions and illustrate the practical applicability of our approach in real-world multi-agent systems, such as swarm robotics, power grids, and sensor networks.
Control
Mahmood Nazifi; Mahdi Pourgholi
Abstract
The consensus of Cyber-Physical Power Systems (CPPSs), where generators agree on common desired rotor angles and speeds, is vital for maintaining system stability and efficiency. This study explores this consensus using fractional-order multi-agent systems, offering advantages over traditional methods. ...
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The consensus of Cyber-Physical Power Systems (CPPSs), where generators agree on common desired rotor angles and speeds, is vital for maintaining system stability and efficiency. This study explores this consensus using fractional-order multi-agent systems, offering advantages over traditional methods. CPPSs often encounter issues like faults, uncertainties, disturbances, and cyber-attacks. To address these, a new Adaptive Fractional-Order Sliding Mode Controller (AFOSMC) is proposed, designed to achieve consensus despite unknown nonlinear functional upper bounds characterizing system perturbations. The AFOSMC uses stable adaptive laws to determine these unknown coefficients, ensuring robust performance even under adverse conditions. It outperforms conventional Integer-Order counterparts by reducing chattering and enabling faster convergence during the initial phase of CPPS operations. The AFOSMC also ensures finite-time convergence to the sliding surface, enhancing system responsiveness and stability. The controller's stability is rigorously proven using Lyapunov's theorem. Finally, extensive simulations demonstrate the practical benefits of the AFOSMC, and comparisons with recent research highlight its superior performance in robustness and efficiency.
