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Decentralized Attack-Resilient CLF-Based Control of Nonlinear DC Microgrids under FDI Attacks

Mohamadamin Rajabinezhad, Muratkhan Abdirash, Xiaofan Cui, Shan Zuo

TL;DR

Simulations validate that the AR-CLF based QP controller achieves superior stability and resilience against unbounded attacks, paving the way for scalable, attack-resilient, and physically consistent control of next-generation DC microgrids.

Abstract

The growing deployment of nonlinear, converter interfaced distributed energy resources (DERs) in DC microgrids demands decentralized controllers that remain stable and resilient under a wide range of cyber-physical attacks and disturbances. Traditional droop or linearized control methods lack resilience and scalability, especially when the system operates in its nonlinear region or faces diverse false-data-injection (FDI) attacks on control inputs. In this work, we develop a Decentralized Attack-Resilient Control Lyapunov Function (AR-CLF) based Quadratic Program (QP) control framework for nonlinear DC microgrids that ensures large-signal stability in a fully decentralized manner. Built upon the port-Hamiltonian representation, the proposed controller dynamically compensates diverse attacks including exponentially unbounded control-input perturbations beyond the bounded-attack regime commonly assumed in existing methods, through an adaptive resilience term, without requiring global information. Simulations validate that the AR-CLF based QP controller achieves superior stability and resilience against unbounded attacks, paving the way for scalable, attack-resilient, and physically consistent control of next-generation DC microgrids.

Decentralized Attack-Resilient CLF-Based Control of Nonlinear DC Microgrids under FDI Attacks

TL;DR

Simulations validate that the AR-CLF based QP controller achieves superior stability and resilience against unbounded attacks, paving the way for scalable, attack-resilient, and physically consistent control of next-generation DC microgrids.

Abstract

The growing deployment of nonlinear, converter interfaced distributed energy resources (DERs) in DC microgrids demands decentralized controllers that remain stable and resilient under a wide range of cyber-physical attacks and disturbances. Traditional droop or linearized control methods lack resilience and scalability, especially when the system operates in its nonlinear region or faces diverse false-data-injection (FDI) attacks on control inputs. In this work, we develop a Decentralized Attack-Resilient Control Lyapunov Function (AR-CLF) based Quadratic Program (QP) control framework for nonlinear DC microgrids that ensures large-signal stability in a fully decentralized manner. Built upon the port-Hamiltonian representation, the proposed controller dynamically compensates diverse attacks including exponentially unbounded control-input perturbations beyond the bounded-attack regime commonly assumed in existing methods, through an adaptive resilience term, without requiring global information. Simulations validate that the AR-CLF based QP controller achieves superior stability and resilience against unbounded attacks, paving the way for scalable, attack-resilient, and physically consistent control of next-generation DC microgrids.
Paper Structure (14 sections, 1 theorem, 24 equations, 3 figures, 1 table)

This paper contains 14 sections, 1 theorem, 24 equations, 3 figures, 1 table.

Table of Contents

  1. Introduction
  2. Notions and Tools from Control Theory
  3. Preliminaries on DC Microgrid Modeling and Optimal Steady-State Analysis
  4. Decentralized Large-Signal Stable Controller Design
  5. Port-Hamiltonian Representation of DC Microgrid
  6. Large-Signal Stable DC Microgrid
  7. Nominal Stabilizing Controller
  8. Decentralized AR-CLF based Controller Design
  9. Stability via CLF
  10. Resiliency via AR-CLF based QP
  11. Simulation and Validation
  12. Case I: Nominal PH-Based Control Under Bounded and Polynomial Attacks
  13. Case II: Proposed AR-CLF based QP Control Under Polynomial and Exponential Unbounded Attacks
  14. Conclusion

Key Result

Theorem 1

Consider subsystem $j$ under FDI attacks to control input channels modelled in eq:affine_under_attack, and let $V_{j}(x_{j})$ be a positive-definite, radially unbounded CLF. Under Assumption ass: attacks and the non-vanishing CLF gradient condition of Assumption ass:nonvanishing_clf_gradient, the de

Figures (3)

  • Figure 1: Circuit schematics of a single-bus DC microgrid.
  • Figure 2: Performance of the nominal CLF controller under bounded and polynomially unbounded FDI attacks.
  • Figure 3: Performance of the proposed AR-CLF controller under polynomially and exponentially unbounded FDI attacks.

Theorems & Definitions (6)

  • Definition 1
  • Definition 2
  • Definition 3
  • Definition 4: khalil2002nonlinear
  • Remark 1
  • Theorem 1