A new LMI approach to analysis of linear systems with scheduling parameter reduction to finite number of LMI conditions

In previous results on analysis and design of scheduled control for linear systems with scheduling parameter, parametrically-dependent LMI conditions characterize internal stability and L² gain performance. In this article, the parametrically-dependent LMI condition is reduced to a finite number of parametrically-independent LMI conditions. By applying this approach, actual analysis and actual design of the scheduled control for linear systems with scheduling parameter is feasible by means of a finite number of computations