In this paper, a dual-mode model predictive/linear control method is presented, which extends the concept of dual-mode model predictive control (MPC) to trajectory tracking control of nonlinear dynamic systems described by discrete-time state-space models. The dual-mode controller comprises of a time-varying linear control law, implemented when the states lie within a sufficiently small neighborhood of the reference trajectory, and a model predictive control strategy driving the system toward that neighborhood. The boundary of this neighborhood is characterized so as to ensure stability of the closed-loop system and terminate the optimization procedure in a finite number of iterations, without jeopardizing the stability of the closed-loop system. The developed controller is applied to the central air handling unit (AHU) of a two-zone variable air volume (VAV) heating, ventilation, and air conditioning (HVAC) system.
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April 2017
Technical Briefs
A Dual-Mode Model Predictive Control Algorithm Trajectory Tracking in Discrete-Time Nonlinear Dynamic Systems
Asad A. Ul Haq,
Asad A. Ul Haq
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78705
e-mail: asadulhaq@utexas.edu
The University of Texas at Austin,
Austin, TX 78705
e-mail: asadulhaq@utexas.edu
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Michael E. Cholette,
Michael E. Cholette
Science and Engineering Faculty,
Queensland University of Technology,
Brisbane, QLD 4001, Australia
e-mail: michael.cholette@qut.edu.au
Queensland University of Technology,
Brisbane, QLD 4001, Australia
e-mail: michael.cholette@qut.edu.au
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Dragan Djurdjanovic
Dragan Djurdjanovic
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78705
e-mail: dragand@me.utexas.edu
The University of Texas at Austin,
Austin, TX 78705
e-mail: dragand@me.utexas.edu
Search for other works by this author on:
Asad A. Ul Haq
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78705
e-mail: asadulhaq@utexas.edu
The University of Texas at Austin,
Austin, TX 78705
e-mail: asadulhaq@utexas.edu
Michael E. Cholette
Science and Engineering Faculty,
Queensland University of Technology,
Brisbane, QLD 4001, Australia
e-mail: michael.cholette@qut.edu.au
Queensland University of Technology,
Brisbane, QLD 4001, Australia
e-mail: michael.cholette@qut.edu.au
Dragan Djurdjanovic
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78705
e-mail: dragand@me.utexas.edu
The University of Texas at Austin,
Austin, TX 78705
e-mail: dragand@me.utexas.edu
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 31, 2016; final manuscript received October 21, 2016; published online February 9, 2017. Assoc. Editor: Zongxuan Sun.
J. Dyn. Sys., Meas., Control. Apr 2017, 139(4): 044501 (8 pages)
Published Online: February 9, 2017
Article history
Received:
March 31, 2016
Revised:
October 21, 2016
Citation
Ul Haq, A. A., Cholette, M. E., and Djurdjanovic, D. (February 9, 2017). "A Dual-Mode Model Predictive Control Algorithm Trajectory Tracking in Discrete-Time Nonlinear Dynamic Systems." ASME. J. Dyn. Sys., Meas., Control. April 2017; 139(4): 044501. https://doi.org/10.1115/1.4035096
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