A Closed Form Solution to L2-Sensitivity Minimization of Second-Order State-Space Digital Filters
نویسندگان
چکیده
This paper proposes a closed form solution to L2sensitivity minimization of second-order state-space digital filters. Restricting ourselves to the 2-nd order case of state-space digital filters, we can formulate L2-sensitivity minimization problem by hyperbolic functions. As a result, L2-sensitivity minimization problem can be converted into a problem to find the solution to a 4-th degree polynomial equation of constant coefficients, which can be algebraically solved in closed form without iterative calculations.
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