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Minimum-Norm Pole Placement in Sampled-Data Systems

There is a need for low order, limited ouput feedback controllers for sampled-data systems. Closed-loop pole placement, with some constraints, is found to be achievable by the use of periodic, piecewise-constant output feedback. The norm of the feedback gains can be minimized using Sylvester's equation and a secant search method. A simple expression for the gradient of the norm is derived using Kronecker products.