Yuta Tsuge, Tatsuo Narikiyo, and Michihiro Kawanishi
Non-linear descriptor systems, non-polynomial systems, particle swarm optimization, linear matrix inequality, sum of squares
This paper proposes a control strategy for descriptor non-polynomial systems using parallel asynchronous particle swarm optimization (PAPSO). Basic idea of our approach is to extend the existing approaches for estimating the domain of attraction (DOA) of the descriptor non-polynomial systems to synthesis of stabilizing controller. To do this we derive the stability conditions for estimating the DOA with input magnitude constraints. From these conditions stabilizing controller is obtained by PAPSO. The proposed strategy can be easily exploited to search for both the stabilizing controller and optimal estimates of DOA. Usefulness and validity are demonstrated by numerical simulations.
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