Robust control analysis and synthesis for LPV systems under affine uncertainty structure

The paper deals with a class of linear continuous systems, containing time-varying parameters that have an affine structure. The objective is to establish robust stability and stabilizabilty conditions, allowing separation between the dynamic and the Lyapunov matrices. Moreover, it is shown that the developed approach brings a larger degree of freedom, than existing ones, due to an added real variable. The problem is thus formulated in terms of Linear Matrix Inequalities. Also, under the robust stabilizability conditions established, state feedback laws that achieve robust stabilization are designed. The obtained results are compared with some of those given in literature and improvements are mentioned. We demonstrate by numerical examples the contribution of the newly proposed analysis and synthesis approach.