Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This note proposes two approaches to approximate distributed delay in linear control laws and, furthermore, to implement it in the z-domain and in the s-domain. The H/sup /spl infin//-norm of the approximation error converges to 0 when the number N of approximation steps approaches +/spl infin/. Hence, the instability problem due to the approximation error, which has been widely studied in recent years, does not exist provided that N is large enough. Moreover, the static gain is guaranteed so that no extra efforts are needed to retain the steady-state performance. As by-products, two new formulas for the forward and backward rectangular rules are obtained. These formulas are more accurate than the conventional ones when the integrand has an exponential term.
['Qing-Chang Zhong']
I am writing a research paper on a idea On distributed delay in linear control Laws-part I: discrete-delay implementations
[{"from": "human", "value": "I am writing a research paper on a idea On distributed delay in linear control Laws-part I: discrete-delay implementations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This note proposes two approaches to approximate distributed delay in linear control laws and, furthermore, to implement it in the z-domain and in the s-domain. The H/sup /spl infin//-norm of the approximation error converges to 0 when the number N of approximation steps approaches +/spl infin/. Hence, the instability problem due to the approximation error, which has been widely studied in recent years, does not exist provided that N is large enough. Moreover, the static gain is guaranteed so that no extra efforts are needed to retain the steady-state performance. As by-products, two new formulas for the forward and backward rectangular rules are obtained. These formulas are more accurate than the conventional ones when the integrand has an exponential term."}]