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Sliding Mode based Extremum Seeking Control for Multivariable and Distributed Optimization

Bin Salamah, Yasser
http://orcid.org/0000-0001-5767-4741
http://rave.ohiolink.edu/etdc/view?acc_num=osu15550794810081

Abstract Details

2019, Doctor of Philosophy, Ohio State University, Electrical and Computer Engineering.
As control techniques and optimization algorithms evolve, the spectrum of potential applications also broadens. Problems that previously were deemed intractable, now become amenable to practical control and optimization methods. Today, stand-alone wind turbines have been grouped with each other to form a wind farm. Characterizing and optimizing the overall performance of a wind farm requires a new generation of control and optimization techniques. This example and other newly emerged applications reveal the necessity to extend the classical control and optimization results to address the problems that arise in complex systems. Here, we are pursuing a new theoretical advancement in the field of sliding mode control. Having its basis on previous research on the use of sliding mode control in optimization. This dissertation proposes several sliding mode based extremum seeking control schemes for multivariable and distributed optimization problems. In the first scheme, a multivariable extremum seeking via sequential search is proposed. This approach recasts the problem of multivariable extremum seeking control into a sequence of single variable problems. The approach is suitable for non-separable problems, differentiating itself from existing work in this area. We determine stability and convergence conditions from the unidimensional case and derive a sufficient condition for the multivariable scheme to converge to the vicinity of the optimal points. Practical issues in implementation are discussed and several illustrative examples are presented to show the effectiveness of the scheme and highlight its potential use. Next, a simultaneous multivariable extremum seeking control scheme is proposed. Different from the first scheme, the presented approach addresses the problem in a concurrent manner using a single sliding surface. We determine a set of sufficient conditions under which the sliding mode will take place. Then, we demonstrate the convergence of the decision variables towards the optimal points. Unlike classical sliding mode, series of sliding modes will occur until the vicinity of the maximum is attained. We investigate the applicability of the proposed scheme to the source seeking problem using a differential-drive mobile robot. A set of simulation experiments is conducted to illustrate the theoretical results, evaluate the proposed scheme and demonstrate its applicability to real-world application. Although centralized control architectures have proven to be effective for some applications in the first two chapters, decentralized control and distributed process improves the scalability of systems. For this reason, a distributed extremum seeking control is proposed. The proposed scheme finds the solution cooperatively. The main concept of this approach is to introduce a consensus algorithm to communicate the value of the cost function between the controllers. And then we interface this algorithm suitably with sliding mode extremum seeking to find the optimal solution. After analyzing the proposed scheme, the applicability of the scheme to optimize energy production in wind farms is investigated. Performance verification is conducted through a series of experiments and is compared versus several control architectures including centralized as well as non-cooperative schemes under a variety of wind conditions.
Umit Ozguner (Advisor)
Vadim Utkin (Committee Member)
Lisa Fiorentini (Committee Member)
110 p.
Electrical Engineering
Extremum Seeking Control, Sliding Mode Control, Optimization

Recommended Citations

Citations

  • Bin Salamah, Y. (2019). Sliding Mode based Extremum Seeking Control for Multivariable and Distributed Optimization [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu15550794810081

    APA Style (7th edition)

  • Bin Salamah, Yasser. Sliding Mode based Extremum Seeking Control for Multivariable and Distributed Optimization. 2019. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu15550794810081.

    MLA Style (8th edition)

  • Bin Salamah, Yasser. "Sliding Mode based Extremum Seeking Control for Multivariable and Distributed Optimization." Doctoral dissertation, Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu15550794810081

    Chicago Manual of Style (17th edition)

osu15550794810081
262
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This open access ETD is published by The Ohio State University and OhioLINK.