Reduced LMIs for fixed-order polynomial controller design
نویسندگان
چکیده
A reduction procedure based on semidefinite programming duality is applied to LMI conditions for fixed-order scalar linear controller design in the polynomial framework. It is namely shown that the number of variables in the reduced design LMI is equal to the difference between the open-loop plant order and the desired controller order. A standard linear system of equations must then be solved to retrieve controller parameters. Therefore high computational load is not necessarily expected when the number of controller parameters is large, but rather when a large number of plant parameters are to be controlled with a small number of controller parameters. Tailored interior-point algorithms dealing with the specific structure of the reduced design LMI are also discussed.
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