Research Papers

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

[+] Author and Article Information
Ali Khudhair Al-Jiboory, Andrew White, Shupeng Zhang

Department of Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824

Guoming Zhu, Jongeun Choi

Department of Mechanical Engineering,
Department of Electrical
and Computer Engineering,
Michigan State University,
East Lansing, MI 48824

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 17, 2014; final manuscript received March 24, 2015; published online June 24, 2015. Assoc. Editor: Ryozo Nagamune.

J. Dyn. Sys., Meas., Control 137(9), 091010 (Sep 01, 2015) (9 pages) Paper No: DS-14-1421; doi: 10.1115/1.4030525 History: Received October 17, 2014; Revised March 24, 2015; Online June 24, 2015

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.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

An electronic throttle system

Grahic Jump Location
Fig. 5

Experiment and simulation tracking (raising edge)

Grahic Jump Location
Fig. 6

Experiment and simulation tracking (falling edge)

Grahic Jump Location
Fig. 2

Experiment test bench setup and block diagram

Grahic Jump Location
Fig. 3

Experimental tracking and signals of throttle the ICC control

Grahic Jump Location
Fig. 4

Tracking experiment for different throttle angles

Grahic Jump Location
Fig. 7

Performance comparison between ICC and PID controllers

Grahic Jump Location
Fig. 8

Performance versus control energy




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In