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Two-Level Game-Based Distributed Optimal Fault-Tolerant Control for Nonlinear Interconnected Systems.

Yuhang Xu, Bin Jiang, Hao Yang

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    This summary is machine-generated.

    This study presents a two-level game approach for distributed optimal fault-tolerant control (FTC) in interconnected systems. It ensures system stability and proposes an adaptive dynamic programming scheme for robust control.

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    Area of Science:

    • Control Systems Engineering
    • Game Theory
    • Nonlinear Systems Analysis

    Background:

    • Interconnected nonlinear systems face challenges in maintaining stability and performance under faults.
    • Distributed control strategies are crucial for managing complex, large-scale systems.

    Purpose of the Study:

    • To address the distributed optimal fault-tolerant control (FTC) problem in nonlinear interconnected systems.
    • To develop a robust control strategy that ensures system stability despite component failures.

    Main Methods:

    • A two-level game approach is employed, formulating FTC as a zero-sum differential game at the first level and a graphical game at the second.
    • The cyclic-small-gain theorem is utilized for stability analysis.
    • Adaptive dynamic programming (ADP) with critic neural networks (NNs) is applied to design the control scheme.

    Main Results:

    • The proposed method ensures the stability of the interconnected system.
    • The relationship between local and global optimality in control is analyzed.
    • A distributed optimal FTC learning scheme using ADP and NNs is successfully developed.

    Conclusions:

    • The two-level game approach effectively solves the distributed optimal FTC problem for nonlinear interconnected systems.
    • The ADP-based scheme provides an efficient and applicable solution for fault-tolerant control.
    • The theoretical results are validated through a practical example.