Abstract
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.
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