Aiming at the problem that the Identity-Based Linkable Ring Signature （IBLRS） scheme has excessive overhead and does not meet the requirements of technical autonomy， a Linkable Ring Signature （LRS） scheme based on SM9 algorithm was proposed. Firstly， the identifier of the signer in the ring was sent to the Key Generation Center （KGC） to generate the corresponding private key. Secondly， the private key was combined with SM9 algorithm to generate a signature， and this private key generation method was consistent with the private key generation method in SM9 algorithm. Finally， the signer's private key and the event identifier were bound to construct a linkable label without need of complex calculation operations， which improved the efficiency of the proposed algorithm. Under the random oracle model， it was proved that the proposed scheme has correctness， unforgeability， unconditional anonymity and linkability. At the same time， a multi-notary cross-chain scheme was designed on the basis of the proposed algorithm to achieve efficient and safe cross-chain interaction. Compared with the IBLRS algorithm， the proposed scheme only requires 4 bilinear pairing operations， which reduces the computational overhead and communication overhead by 39.06% and 51.61% respectively. Performance analysis of the scheme shows that the proposed scheme reduces computing overhead and communication overhead， and satisfies the autonomous controllability of the technology.