Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Properties of the best achievable performance of sampled-data control systems are investigated. Contrary to our intuition, the best sampled-data control performance does not always converge to the best continuous-time control performance, even as the sampling period approaches zero. A counterexample is presented and a lifting-based analysis is performed. It is shown that the performance convergence is guaranteed if, and only if, a certain Hankel norm and an aliasing effect computed from a specified antialiasing filter tend to vanish with a decreasing sampling period. It is also shown that this condition is reduced to a simpler form if the specified filter has special forms. These results can be generalized to a system involving a generalized hold.
['Yasuaki Oishi']
I am writing a research paper on a idea Asymptotic properties of the best sampled-data control performance
[{"from": "human", "value": "I am writing a research paper on a idea Asymptotic properties of the best sampled-data control performance"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Properties of the best achievable performance of sampled-data control systems are investigated. Contrary to our intuition, the best sampled-data control performance does not always converge to the best continuous-time control performance, even as the sampling period approaches zero. A counterexample is presented and a lifting-based analysis is performed. It is shown that the performance convergence is guaranteed if, and only if, a certain Hankel norm and an aliasing effect computed from a specified antialiasing filter tend to vanish with a decreasing sampling period. It is also shown that this condition is reduced to a simpler form if the specified filter has special forms. These results can be generalized to a system involving a generalized hold."}]