Linear Matrix Inequalities Approach to Input Covariance Constraint Control With Application to Electronic Throttle

Ali Khudhair Al-Jiboory, Andrew White, Shupeng Zhang, Guoming Zhu, Jongeun Choi

Research output: Contribution to journalArticle

10 Citations (Scopus)


In this paper, the input covariance constraint (ICC) control problem is solved by convex optimization subject to linear matrix inequalities (LMIs) constraints. The ICC control problem is an optimal control problem that is concerned to obtain the best output performance subject to multiple constraints on the input covariance matrices. The contribution of this paper is the characterization of the control synthesis LMIs used to solve the ICC control problem. Both continuous- and discrete-time problems are considered. To validate our scheme in real-world systems, ICC control based on convex optimization approach was used to control the position of an electronic throttle plate. The controller performance compared experimentally with a well-tuned base-line proportional-integral-derivative (PID) controller. Comparison results showed that not only better performance has been achieved but also the required control energy for the ICC controller is lower than that of the base-line controller.

Original languageEnglish
Article number091010
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number9
Publication statusPublished - 2015 Sep 1


All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications

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