Finding the integer order systems for fractional order systems via fractional operational matrices
Networking, Sensing and Control（2012）
摘要
In this paper, a new innovative method for approximating fractional order system by an integer order model is proposed. The Riemann-Liouville's integral is adopted for fractional order operations via block pulse expansion and a new SID (system identification) matrix can be derived to identify the coefficients of an integer order transfer function to approximate the given fractional order system. In comparison with previous approach via PSO (Particle Swarm Optimization) method, this new approach provides a more reasonable approach and yield better results. Several examples are illustrated to validate our better results.
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关键词
approximation theory,integer programming,integral equations,mathematical programming,particle swarm optimisation,transfer function matrices,PSO method,Riemann-Liouville integral,SID matrix,block pulse expansion,fractional operational matrices,fractional order operations,fractional order system approximation,integer order systems,integer order transfer function,particle swarm optimization method,system identification matrix,fractional order system,least-square estimation,system identification,
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