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To realize simultaneous identification of both structures and parameters of stochastic nonlinear systems, multi-population parallel genetic programming (GP) was employed. Object systems were represented by nonlinear autoregressive with exogenous inputs (NARX) and nonlinear autoregressive moving average with exogenous inputs (NARMAX) polynomial models, multi-objective fitness definition was used to restrict sizes of individuals during the evolution. For all examples, multi-population parallel GP found accurate models for object systems, simultaneously identified structures and parameters. In comparison with traditional single-population GP, multi-population GP showed a more competitive performance in avoiding premature convergence, and was much more efficient in searching for good models for object systems. From identification results, it can be concluded that multi-population parallel GP is good at handling complex stochastic nonlinear system identification problems and is superior to other existing identification methods.
Control and Decision Conference, 2009. CCDC '09. Chinese
Date of Conference: 17-19 June 2009