Mixed H 2 = H 1 control : Synthesis equations for the discrete - time case
نویسندگان
چکیده
A discrete mixed H2/H1 optimal control problem is studied, where an upper bound on an H2 cost is minimized subject to an H1 norm bound on the closed-loop transfer function. New synthesis equations for the optimal controller are obtained, which are the discrete-time counterparts of continuoustime synthesis equations given in the literature. The synthesis equations are obtained by deriving a set of optimality conditions for the parameters of an optimal controller parameterization. The su ciency and necessity of the optimality conditions is also studied. Supported by grant from IIT, Kharagpur
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