Abstract
Abstract A new method for designing linear MIMO control systems using constant and dynamic output feedback is presented. The direct algebraic controller design is based on a new representation of linear systems using generalized Fourier series expansions for the state, input and output signals. This procedure leads to a very simple approximation rule for transfer functions, which fixes points on the real axis of the complex s-plane, where two different transfer functions have to coincide to have similar input-output behaviour. This important statement will then be used to derive a simple controller formula in a closed form . The design objective is to shape the reference input response and to provide approximate non-interaction. In order to illustrate the simplicity and efficiency of the proposed method, the design for an unstable chemical reactor and a non - minimum - phase rear-axle-gear test stand are considered, using output feedback loops with either constant or PI characteristics
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