Design and assessment of variable-structure LQG PID multivariable controllers

Mousavi, H ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1002/oca.2276
  3. Publisher: John Wiley and Sons Ltd , 2017
  4. Abstract:
  5. Control Performance Assessment (CPA) and tuning of PID controllers are studied in this paper. We propose a framework for systematic analysis of the tradeoff between the structural complexity of the controller and its performance. As the measure of the controller performance, an LQG based index is used. The problem is augmented with an additional term which forces sparsity on the complexity of a decentralized PID controller. The desired complexity is controlled via a weighting parameter which determines the cost of each additional element (i.e., P, I, and D terms). The result is a decentralized multivariable PID controller in which the complexity of each loop controller is optimized such that the desired LQG Performance Index is achieved with the lowest controller complexity. For larger multivariable systems, this will translate into a substantially reduced set of controller parameters. Copyright © 2016 John Wiley & Sons, Ltd. Copyright © 2016 John Wiley & Sons, Ltd
  6. Keywords:
  7. LQG optimal control ; PID control ; restricted structure control ; Decentralized control ; Electric control equipment ; Multivariable systems ; Proportional control systems ; Three term control systems ; Basis pursuit regularization ; Control performance assessment ; LQG index ; LQG optimal controls ; Structure control ; Controllers
  8. Source: Optimal Control Applications and Methods ; Volume 38, Issue 4 , 2017 , Pages 634-652 ; 01432087 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/oca.2276