Observer-Based Admissible H∞ Consensus of Singular Fractional-Order Multi-Agent Systems Under Partial DoS and Deception Attacks

This paper investigates resilient leader-following consensus of singular fractional-order multi-agent systems subject to partial denial-of-service (DoS), sensor and actuator deception, measurement noise, and external disturbances. The descriptor structure requires regularity, impulse-freeness, and algebraic consistency in addition to fractional consensus stability. A descriptor-compatible augmented observer is first constructed to estimate the dynamic state and deception signals. A distributed compensation protocol is then synthesized over a finite family of normal and partial DoS topologies. To avoid reset-type switching arguments that are problematic for global-memory Caputo dynamics, the Caputo lower terminal is kept fixed and a common-storage condition is imposed for every admissible topology. After semi-explicit descriptor reduction, real-lifted fractional bounded-real inequalities provide a convex observer synthesis condition, a modal consensus-gain synthesis condition, and a post-design attenuation certificate for the observer-error channel. The resulting theorem guarantees admissibility and a prescribed network H∞ bound under arbitrary switching among the certified topologies. Simulations on a five-follower singular network include zero-initial-condition H∞ verification, attack estimation, modal-sector checks, parameter sensitivity, and structure-adapted comparisons with representative recent methods.