Distributed control of time-delay interconnected nonlinear systems
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Universidade Federal de Minas Gerais
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This paper addresses the distributed control of delayed interconnected nonlinear systems with time-varying delays in both the local subsystems’ dynamics and the physical interconnections among the subsystems. The Takagi–Sugeno fuzzy model with nonlinear consequent parts (N-TS), which is capable to provide less complex representations than standard T–S fuzzy models, is considered to efficiently deal with this class of complex systems. Then, based on Lyapunov–Krasovskii stability arguments, a synthesis condition is proposed to design a distributed control law such that the origin of the closed-loop interconnected system is locally asymptotically stable together with a guaranteed set of admissible initial conditions for which the validity of the N-TS fuzzy model is ensured. Moreover, a quasi-convex optimization procedure is formulated to enlarge the set of admissible initial conditions. The effectiveness of the proposed synthesis condition is validated in two numerical examples, including an interconnected power network with seven generators.
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Sistemas de tempo discreto
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Interconnected systems are dynamical subsystems physically coupled according to a given topology. This class of systems might represent several coupled processes, such as chemical reactors, aerospace systems, robotic systems, and power networks. Although the subsystems can be analyzed and controlled individually, complex and unpredictable behaviors might appear in the analysis of the whole interconnected system. Even in cases where the interactions among the subsystems are considered simple, the interconnections can lead to undesirable responses.
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https://www.sciencedirect.com/science/article/pii/S0016003223004313