Controller Design for Nonlinear Descriptor Systems using Particle Swarm Optimization

Yuta Tsuge, Tatsuo Narikiyo, and Michihiro Kawanishi


Nonlinear 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 particle swarm optimization(PSO). Basic idea of our approach is to extend the existing approaches for estimating the domain of attraction(DOA) of the non-polynomial systems to synthesis of stabilizing control. To do this we derive the stability conditions for estimating the DOA with input magnitude constraints. From these conditions stabilizing controller is obtained by PSO. The proposed strategy can be easily exploited to search for both the stability controller and optimal estimates. Usefulness and validity are demonstrated by numerical simulations.

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