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The quadratic stability theory is known as a powerful method for robust stabilization of uncertain systems. This paper applies it to the tracking problem from the viewpoint of the inverse regulator problem and proposes a method of designing robust tracking controllers for linear systems with uncertain parameters. First, we solve the inverse problem of a quadratically stabilization problem. We then apply this result to Inverse LQ design theory and then give a criterion of choosing design parameters assuring quadratic stability of the closed system. Finally we show an example to illustrate the validity of the design method.

The Design of Robust Servo Systems Based on the Quadratic Stability Theory