STABILIZATION OF AN UNCERTAIN LINEAR DYNAMIC SYSTEM BY STATE AND OUTPUT-FEEDBACK - A QUADRATIC STABILIZABILITY APPROACH

In this paper, the output control problem for linear uncertain systems is investigated under the specific framework of quadratic stabilizabi lity. The approach generalizes previous works to systems where both th e state and input matrices suffer from structural uncertainty of norm bounded as well as interval type. The stabilizability conditions are t ranslated into parametrical problems. The output stabilizability probl em both in the static and dynamic aspects is investigated with the hel p of quadratic stabilizability and its dual notion 'the quadratic dete ctability'. The dynamic output stabilization problem can first be form ally expressed as a static one. In this case, the proposed approach do es not enable us to deal with the complete uncertainty case where all the dynamic, control and output matrices are uncertain. The output dyn amic compensation in the classical framework of observer design is als o addressed.