Design of an stable GPC for nonminimum phase LTI systems

Yaghobi, M ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. Publisher: 2005
  3. Abstract:
  4. The current methods of predictive controllers are utilized for those processes in which the rate of output variations is not high. For such processes, therefore, stability can be achieved by implementing the constrained predictive controller or applying infinite prediction horizon. When the rate of the output growth is high (e.g. for unstable nonminimum phase process) the stabilization seems to be problematic. In order to avoid this, it is suggested to change the method in the way that: first, the prediction error growth should be decreased at the early stage of the prediction horizon, and second, the rate of the error variation should be penalized. The growth of the error is decreased through adjusting its weighting coefficients in the cost function. Reduction in the error variation is possible by adding the first order derivate of the error into the cost function. By studying different examples it is shown that using these two remedies together, the closed-loop stability of unstable nonminimum phase process can be achieved. COPYRIGHT © ENFORMATIKA
  5. Keywords:
  6. Infinite prediction horizon ; Predictive controllers ; Closed loop control systems ; Constraint theory ; Error analysis ; Stabilization ; Control equipment
  7. Source: Wec 05: Fourth World Enformatika Conference, Istanbul, 24 June 2005 through 26 June 2005 ; Volume 6 , 2005 , Pages 88-91 ; 9759845857 (ISBN); 9789759845858 (ISBN)
  8. URL: https://citeseerx.ist.psu.edu/viewdoc/download?doi=