PARITY RELATIONS FOR LINEAR DYNAMIC SYSTEMS WITH MULTIPLICATIVE UNCERTAINTIES

This paper proposes a methodology for the design of parity relations for dynamical systems with multiplicative uncertainties. Instead of canceling uncertainties following the example of the so-called robust approaches, uncertain parity relations take uncertainties into account as bounded variables. The method is based on the analysis of zonotopes representing set of possible behaviors. The proposed parity relations design method applies to any uncertain linear system assuming that it is regularly observable. It requires very little computation time: this approach comes down to compute and check linear inequalities at each sample time.