Robust Stabilization of Systems with Structured Uncertainty

This paper considers a class of uncertainties with the polynomial function form of perturbation parameters, which is analogous to a fact that part information is known for some uncertainties. A sufficient condition of robust stability is presented, and a method is also provided to estimate the stability bound for plants with the class of uncertainties. In the case of interval plants, this condition reduces to an existing result, which would show indirectly the condition is not too conservative. Methods are offered to design a stabilizer via the state and output feedback, respectively. Moreover, algorithms are proposed to obtain a stabilizer such that the stability domain of the closed loop systems is maximized with respect to the used method. Finally, an illustrative example of flight control system stabilization is given to show the methods in practice.