Synthesis of linear model-following systems using measured output feedback

This paper assumes a situation where the state of a plant cannot be measured directly, and discusses the problem to construct the internally stable model-following linear system without using a state observer. the problem consists in constructing a compensator (dynamic compensator plus feedback) for the plant so that the transfer function matrix of the obtained closed-loop coincided with that of the model, and the closed-loop system (the model-following system) is internally stable. This paper shows the necessary and sufficient condition for the problem to be solvable, using a geometric approach, and a construction method is presented for the stable model-following system without using an observer. In contrast to the existing methods, the construction method proposed by this paper does not require any additional condition, and can construct the stable model-following system with the given parameters without repeating the trial-and-error procedures.