In the industrial field, currently used access permission control technologies are increasingly struggling to address access control issues of distributed systems deployed in wide-area internet scenarios. This situation is particularly exacerbated when dealing with large-scale information systems distributed across multiple trust domains, thereby engendering an escalating proliferation of vulnerabilities. Consensus-based access control policy sharing technologies can facilitate the secure and expeditious attainment of consensus decisions among access control nodes deployed across trust domains. This study first proposes a consensus-based access permission control model for multiple nodes and presents the Super-Dumbo consensus algorithm for access control engines, which features robust security and high performance. Super-Dumbo surmounts the performance bottlenecks of Dumbo2 by optimizing the design of key steps encompassing message broadcasting, random coin toss procedures, and consensus algorithm constructs. Notably, it reduces computational overhead such as digital signature verification, thereby effectively enhancing bandwidth utilization. This achieves a substantial improvement in performance metrics, such as throughput and latency, aligning seamlessly with the performance prerequisites of the CBAC access control model, which demands low latency and high throughput from the underlying consensus algorithm.