H^$\infty$ Controller Design Based on NLCF Models: A Unified Approach for Continuous and Discrete Systems

  • Published : 1998.06.01

Abstract

In this paper, a unified approach to the H\ulcorner controller design is proposed under the $\delta$-form for both continuous and discrete systems. Most of important basic concepts of H\ulcorner control, such as inner, co-inner, GCARE and GFARE, are reformulated by the unified form. The NLCF(Normalized left Comprime Factor) plant description has been reviewed in the $\delta$-form, and some corresponding results are proposed. And the unified H\ulcorner controller is designed which is based on the McFarlane and Glover{1]. The state-space parameterization for all suboptimal controllers is given under the NLCF model which may not be strictly proper, and the central controller is derived by using the solution to Hankel norm approximation problem[2]. The unified controller is applied to the industrial boiler control problem to exemplify the performance of the controller.

Keywords

References

  1. Lecture Notes in Control and Information Sciences v.138 Robust Controller Design Using Normalized Coprime Factor Plant Descriptions D.C.McFarlane;K.Glover
  2. A Unified Approach to Discrete & Continuous Optimal Hankel-norm Approximation Problem S.S.Youn;O.K.Kwon
  3. IEEE Trans. Auto. Cont. v.34 Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms, and approximate inverses G.Zames
  4. Int. J. Cont. v.50 Simplifying the $H_∞$ theory via loop-shifting, matrix-pencil and descriptor concepts M.G.Safonov;D.J.N.Limebeer;R.Ching
  5. Lecture Notes in Control and Information Sciences v.88 A Course of $H_∞$ Control Theory B.A.Frances
  6. IEEE Trans. Auto. Cont. v.34 Robust stabilization of normalized coprime factor plant description with $H_∞$-norm bounded uncertainty K.Glover;D.McFarlane
  7. Automatica v.27 A four-block problem for $H_∞$ Properties and applications M.J.Englehart;M.C.Smith
  8. Multivariable Feedback Design J.M.Maciejowsk
  9. Digital control and Estimation: Unified Approach R.H.Middleton;G.C.Goodwin
  10. Identification and self-tuning control of steam generation processes J.Bentsman;N.Miller;G.Pellegrinetti;D.Drakde;J.Tse
  11. J. of Korea Aeronautical and Aerospace Engineering v.23 Autopilot design using unified $H_∞$ control for a launch vehicle K.S.Lee;S.S.Youn;O.K.Kwon