Robust Stability/Performance Analysis for Polytopic Systems Via Multiple Slack Variable Approach
نویسنده
چکیده
This paper investigates robust stability, H2 performance, and H∞ performance analysis for polytopic systems, i.e. Linear Time-Invariant Parameter-Dependent (LTIPD) systems in which the parameters lie in the unit simplex. Our results are derived via multiple “slack variable” approach, which has previously been proposed for the non-negativity check of polynomial functions, using Polynomially Parameter-Dependent Lyapunov Functions (PPDLFs). Our derived conditions are only sufficient conditions for our addressed problems; however, they encompass existing methods via single slack variable approach. Numerical examples are included to demonstrate the effectiveness of our methods.
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تاریخ انتشار 2008