CDEQ V10.0 Controlling Rotating Detonation Engines Using Diesel Engine Stability Logic 用百年柴油机的稳定逻辑控制旋转爆震发动机

CDEQ V10.0: Controlling Rotating Detonation Engines Using Diesel Engine Stability Logic Engineering Realization Based on Thermodynamic State Axioms, Countability Foundations, and Equivalent System Simplification 中文:CDEQ V10.0: 用百年柴油机的稳定逻辑控制旋转爆震发动机 —基于热力学状态公理、可数性基础与等效系统简化法的工程实现 Trusted Timestamp (This Paper): TSA-01-20260312644066876 Author: Jiang Wenjia (Shenzhen, China) ORCID: 0009-0000-3850-7286 Correspondence: jiangwenjiaszx@outlook.com The DAO of Countability Apples in a basket, one by one; Air in a room, a mass unknown. The countable is real, the uncountable is mist. CDEQ builds on the real, not the mist. Abstract Rotating Detonation Engines (RDEs) enable high-efficiency near-constant-volume combustion. However, detonation waves rotate at microsecond periods with kilohertz pressure oscillations, creating a timescale mismatch of 3–6 orders of magnitude between the plant, sensors/actuators, and human decision cycles. By the Nyquist–Shannon theorem, direct feedback control is mathematically invalid in this regime. A deeper issue is foundational: classical control uses continuous, uncountable mathematics, while real embedded systems are discrete and countable. This mismatch is not technical but structural. The CDEQ (Cross-Domain-Cyber-Dynamic-Equilibrium-Regulation-Framework) resolves both dilemmas by migrating the century-proven stability logic of diesel engines to RDE control. Its validity rests on two axioms: the five-variable thermodynamic state set (P, T, V, S, U) and a strict countability foundation (Q14 fixed-point, finite-step verification, time layering). The PCTT-CW (Penta-Cyclic-Clockwise-Topological-Theorem) proves that diesel engines and RDEs share isomorphic 5-node cyclic topologies. Using CENHE-LEX (Central-Holding-Nonary-Constraint-Execution-Theorem) boundary constraints and GCVT-10 (Global-Convergence-Validation-Theorem) finite-step convergence criteria, CDEQ stabilizes RDE thrust by constraining macroscopic thermodynamic states, not tracking microsecond detonation dynamics. A key engineering innovation is the V shaped dual channel 20° nozzle (20° per side, 40° total). This angle comes from the theoretical optimum of 19.1° for dual-oscillator synchronization, rounded for manufacturing. The structure achieves passive attitude stability and detonation phase locking purely through geometry. CDEQ replaces complex algorithms with geometric constraints, microsecond tracking with state bounding, and uncountable theory with countable implementation. It follows a Result-to-Cause design philosophy: define the stable output first, then derive the necessary constraints. Know more CDEQ, V-Function Waiting for you Now! This framework is mathematically rigorous, formally grounded, and theoretically complete. It is NOT heuristic, empirical, or informal — it is built on solid mathematical foundations for deterministic stability and Lyapunov function construction. KEY PAPER (Full Theory & Proofs): A Flower's Smile, V-Functions Arise: Answering Lyapunov's Centennial Question DOI: 10.5281/zenodo.18927653 A Paradigm Shift in Control TheoryCDEQ V1.2 The Countable Foundation of StabilityDOI: 10.5281/zenodo.18939385 CDEQ V1.3 Mathematical Proof of the PCTT-CW Penta-Cyclic Clockwise Topological TheoremDOI: 10.5281/zenodo.18988669 CDEQ V1.4: Mathematical Proof of the CENHE-LEX Nonary Central Holding Equilibrium TheoremDOI: 10.5281/zenodo. 19023440 CDEQ V1.5 GCVT-10 Global Convergence Validation TheoremDOI: 10.5281/zenodo. 19055969 For the complete mathematical foundation, rigorous derivations, and general solution to Lyapunov's century-old problem — see the key paper above.