Brief paper: An efficient controller structure with minimum roundoff noise gain

  • Authors:
  • Jinxin Hao;Gang Li

  • Affiliations:
  • School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore;College of Information Engineering, Zhejiang University of Technology, P.R. China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2007

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Abstract

Based on a polynomial operator approach, a new sparse controller structure is derived, which is actually an improved version of the recently proposed structure [Li, G. (2004). A polynomial-operator-based DFIIt structure for IIR filters. IEEE Transactions on Circuits and Systems II, 51, 147-151]. The performance of the proposed structure is analyzed by deriving the corresponding expression of roundoff noise gain and the problem of finding optimized sparse structures is solved efficiently with a genetic algorithm (GA). A numerical example is given, which shows that the newly developed structure can achieve much better performance than some well-known structures and particularly outperforms the traditional optimal fully parametrized realization greatly in terms of reducing roundoff noise and implementation complexity.