Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose a sliding-mode-based stochastic distribution control algorithm for nonlinear systems, where the sliding-mode controller is designed to stabilize the stochastic system and stochastic distribution control tries to shape the sliding surface as close as possible to the desired probability density function. Kullback-Leibler divergence is introduced to the stochastic distribution control, and the parameter of the stochastic distribution controller is updated at each sample interval rather than using a batch mode. It is shown that the estimated ight vector will converge to its ideal value and the system will be asymptotically stable under the rank-condition, which is much aker than the persistent excitation condition. The effectiveness of the proposed algorithm is illustrated by simulation.
['Yu Liu', 'Hong Wang', 'Chaohuan Hou']
I am writing a research paper on a idea Sliding-Mode Control Design for Nonlinear Systems Using Probability Density Function Shaping
[{"from": "human", "value": "I am writing a research paper on a idea Sliding-Mode Control Design for Nonlinear Systems Using Probability Density Function Shaping"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose a sliding-mode-based stochastic distribution control algorithm for nonlinear systems, where the sliding-mode controller is designed to stabilize the stochastic system and stochastic distribution control tries to shape the sliding surface as close as possible to the desired probability density function. Kullback-Leibler divergence is introduced to the stochastic distribution control, and the parameter of the stochastic distribution controller is updated at each sample interval rather than using a batch mode. It is shown that the estimated ight vector will converge to its ideal value and the system will be asymptotically stable under the rank-condition, which is much aker than the persistent excitation condition. The effectiveness of the proposed algorithm is illustrated by simulation."}]