Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Based on sliding-mode-control theory,  develop a fuzzy controller design method for a class of uncertain time-delay systems that can be represented by Takagi-Sugeno (T-S) fuzzy models. In terms of linear-matrix inequalities (LMIs),  derive a sufficient condition for the existence of stabilizing sliding-mode controllers.  show that the sliding-surface parameter matrix can be characterized in terms of the solution of the LMI-existence condition. Our LMI condition does not require stabilization of the pair of the state and input matrices. Thus, our method can be applied to a broad class of uncertain systems.  also give an LMI-based algorithm to design a switching feedback-control strategy so that a stable sliding motion is induced in finite time. Finally,  give a numerical-design example to show that our method can be better than the previous results.
['Han Ho Choi']
I am writing a research paper on a idea Robust Stabilization of Uncertain Fuzzy-Time-Delay Systems Using Sliding-Mode-Control Approach
[{"from": "human", "value": "I am writing a research paper on a idea Robust Stabilization of Uncertain Fuzzy-Time-Delay Systems Using Sliding-Mode-Control Approach"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Based on sliding-mode-control theory,  develop a fuzzy controller design method for a class of uncertain time-delay systems that can be represented by Takagi-Sugeno (T-S) fuzzy models. In terms of linear-matrix inequalities (LMIs),  derive a sufficient condition for the existence of stabilizing sliding-mode controllers.  show that the sliding-surface parameter matrix can be characterized in terms of the solution of the LMI-existence condition. Our LMI condition does not require stabilization of the pair of the state and input matrices. Thus, our method can be applied to a broad class of uncertain systems.  also give an LMI-based algorithm to design a switching feedback-control strategy so that a stable sliding motion is induced in finite time. Finally,  give a numerical-design example to show that our method can be better than the previous results."}]