A Closed Form Solution to L>inf/inf<-Sensitivity Minimization of Second-Order State-Space Digital Filters
Satoru Yamaki, Minori Abe, Masaki Kawamata · 2006
This paper proposes a closed form solution to L2-sensitivity minimization of second-order state-space digital filters. Restricting ourselves to the 2nd 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 4th degree polynomial equation of constant coefficients, which can be algebraically solved in closed form without iterative calculations