Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  tries to provide a stability analysis approach for the single input rule modules (SIRMs) based type-2 fuzzy logic control systems. First, in the neighbor of the equilibrium point, the closed-form input-output mappings of type-2 SIRMs (T2SIRMs) are explored, and the derivatives of T2SIRMs at the equilibrium point are computed. Then, how to compute the Jacobian matrix of the SIRMs based type-2 fuzzy logic control systems, which is a fundamental step for local stability analysis, is presented. At last, two examples on stabilization control of the TORA system and the inverted pendulum system are given. The results in both examples demonstrate that the stability analysis results agree completely with the control results.
['Chengdong Li', 'Jianqiang Yi', 'Tiechao Wang']
I am writing a research paper on a idea Stability analysis of SIRMs based type-2 fuzzy logic control systems
[{"from": "human", "value": "I am writing a research paper on a idea Stability analysis of SIRMs based type-2 fuzzy logic control systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  tries to provide a stability analysis approach for the single input rule modules (SIRMs) based type-2 fuzzy logic control systems. First, in the neighbor of the equilibrium point, the closed-form input-output mappings of type-2 SIRMs (T2SIRMs) are explored, and the derivatives of T2SIRMs at the equilibrium point are computed. Then, how to compute the Jacobian matrix of the SIRMs based type-2 fuzzy logic control systems, which is a fundamental step for local stability analysis, is presented. At last, two examples on stabilization control of the TORA system and the inverted pendulum system are given. The results in both examples demonstrate that the stability analysis results agree completely with the control results."}]