A separation theorem for robust pole placement of discrete-time linear control systems with full-order observers

  • Authors:

  • V. Sundarapandian

  • Affiliations:

  • Department of Instrumentation and Control Engineering, SRM Engineering College, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur-603 203, Tamil Nadu, India

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2006

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Abstract

In this paper, we derive a separation theorem for robust pole placement of discrete-time linear control systems with full-order observers. This separation theorem basically demonstrates that we can realize robust pole placement in an n-dimensional multivariable discrete-time linear control system using a full-order observer-based state feedback control law by means of solving two separate n-dimensional robust pole placement problems. This paper is a discrete-time version of the work by Duan et al. [G. Duan, S. Thompson, G. Liu, Separation principle for robust pole assignment - An advantage of full-order state observers, in: Proc. 38th IEEE Conf. Decision & Control, Phoenix, Arizona, 1999, pp. 76-78].