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“Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems”

Authors: David Di Ruscio,
Affiliation: Telemark University College
Reference: 2012, Vol 33, No 2, pp. 35-44.

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Keywords: Control Theory, Closed loop, Linear Systems, Modeling

Abstract: A simple Linear Quadratic (LQ) optimal controller of velocity (incremental) form with approximately the same properties as a conventional PID controller of velocity form is presented, i.e. integral action. The proposed optimal controller is insensitive to slowly varying system and measurement trends and has the ability of stabilizing any linear dynamic system under weak assumptions such as the stabilizability of the system and the detectability of the system seen from the performance index.

PDF PDF (656 Kb)        DOI: 10.4173/mic.2012.2.1

DOI forward links to this article:
  [1] David Di Ruscio (2013), doi:10.4173/mic.2013.3.2
  [2] Christer Dalen, David Di Ruscio and Roar Nilsen (2015), doi:10.4173/mic.2015.3.5
  [3] J.K. Woodacre, R.J. Bauer and Rishad Irani (2018), doi:10.1016/j.oceaneng.2018.01.030
  [4] Vinayambika S Bhat, I. Thirunavukkarasu, S. Shanmuga Priya, C Shreesha, P. Tandon, W. Wisnoe and M.Z. bin Abdullah (2018), doi:10.1051/matecconf/201815306010
  [5] Nicolás Cervantes-Escorcia, Omar-Jacobo Santos-Sánchez, Liliam Rodríguez-Guerrero, Hugo Romero-Trejo and Alberto González-Facundo (2018), doi:10.1007/s13369-018-3199-x

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  title={{Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems}},
  author={Di Ruscio, David},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}


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