Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


ASThesis (2).pdf (2.59 MB)

ETD Abstract Container

Abstract Header

Stability of a Fuzzy Logic Based Piecewise Linear Hybrid System

Seyfried, Aaron W
http://rave.ohiolink.edu/etdc/view?acc_num=wright1370017300

Abstract Details

2013, Master of Science in Engineering (MSEgr), Wright State University, Electrical Engineering.
Complex cyber-physical systems are difficult to model and control. However, humans are capable of accomplishing these tasks by constantly adapting and redefining the rules to control these complex systems. Fuzzy logic provides a means of encoding human inference into a control methodology. However, the fuzzy logic controllers are nonlinear and their stability is difficult to verify. Therefore, the widespread usefulness of fuzzy logic controllers is limited. It has been proven that fuzzy logic controllers can be implemented as piecewise linear switched controllers. It has also been shown that the piecewise linear system can be implemented as a hybrid system. Piecewise linear hybrid system stability can be verified by extending the Lyapunov proof for one linear system to multiple decreasing Lyapunov functions. The objective of this thesis is to implement fuzzy logic control systems as a piecewise linear hybrid system and examine their stability. A proportional fuzzy logic controller with constant derivative gain is implemented as a piecewise linear hybrid system using Matlab Simulink Stateflow. Stability of the system is examined by obtaining the Lyapunov function of each subsystem and stitching them according to the fuzzy rules. It is shown that the stitching of Lyapunov functions must successively decrease for the system to be stable. Further implications of robustness are examined by varying the fuzzy logic rules and observing the effect on the corresponding stitched Lyapunov functions.
Matthew Clark, M.S.Egr. (Committee Co-Chair)
Kuldip Rattan, Ph.D. (Committee Co-Chair)
Zhang Xiadong, Ph.D. (Committee Member)
94 p.
Electrical Engineering
Hybrid Systems; fuzzy logic; Lyapunov functions; stability; Lyapunov stability; Simulink Stateflow; Piecewise Linear Stability

Recommended Citations

Citations

  • Seyfried, A. W. (2013). Stability of a Fuzzy Logic Based Piecewise Linear Hybrid System [Master's thesis, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1370017300

    APA Style (7th edition)

  • Seyfried, Aaron. Stability of a Fuzzy Logic Based Piecewise Linear Hybrid System. 2013. Wright State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=wright1370017300.

    MLA Style (8th edition)

  • Seyfried, Aaron. "Stability of a Fuzzy Logic Based Piecewise Linear Hybrid System." Master's thesis, Wright State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=wright1370017300

    Chicago Manual of Style (17th edition)

wright1370017300
1,135
© 2013, all rights reserved.
This open access ETD is published by Wright State University and OhioLINK.