This paper presents a new multimodel controller design approach incorporating stability and performance criteria. The gap metric is employed to measure the distance between local models. An efficient method based on state feedback strategy is introduced to improve the maximum stability margin of the local models. The proposed method avoids local model redundancy, simplifies the multimodel controller structure, and supports employing of many linear control techniques, while does not rely on a priori experience to choose the gridding threshold value. To evaluate the proposed method, three benchmark nonlinear systems are studied. Simulation results demonstrate that the method provides the closed-loop stability and performance via a simple multimodel structure in comparison with the opponents.
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August 2018
Research-Article
Multimodel Control of Nonlinear Systems: An Improved Gap Metric and Stability Margin-Based Method
Mahdi Ahmadi,
Mahdi Ahmadi
Advanced Control Systems Lab,
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
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Mohammad Haeri
Mohammad Haeri
Advanced Control Systems Lab,
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
e-mail: haeri@sina.sharif.edu
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
e-mail: haeri@sina.sharif.edu
Search for other works by this author on:
Mahdi Ahmadi
Advanced Control Systems Lab,
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
Mohammad Haeri
Advanced Control Systems Lab,
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
e-mail: haeri@sina.sharif.edu
Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
e-mail: haeri@sina.sharif.edu
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received June 10, 2017; final manuscript received December 13, 2017; published online March 13, 2018. Assoc. Editor: Davide Spinello.
J. Dyn. Sys., Meas., Control. Aug 2018, 140(8): 081013 (12 pages)
Published Online: March 13, 2018
Article history
Received:
June 10, 2017
Revised:
December 13, 2017
Citation
Ahmadi, M., and Haeri, M. (March 13, 2018). "Multimodel Control of Nonlinear Systems: An Improved Gap Metric and Stability Margin-Based Method." ASME. J. Dyn. Sys., Meas., Control. August 2018; 140(8): 081013. https://doi.org/10.1115/1.4039086
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