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Computational schemes for exact linearization of discrete-time systems using a geometric approach

Jayaraman, Gangadhar
http://rave.ohiolink.edu/etdc/view?acc_num=case1058542922

Abstract Details

1995, Doctor of Philosophy, Case Western Reserve University, Systems and Control Engineering.
In this work we present a theory for exact linearization of discrete-time systems. Using this theory, a nonlinear system can be transformed to a linear, reachable system through a state coordinate change and a nonlinear state feedback law. This permits the controller design to be carried out in the new coordinates using linear system theory. We assume that the system map f possesses an equilibrium point, and that its Jacobian is full rank around this point. We develop a mathematical framework for the following problems: (i) Exact linearization using state coordinate change, and (ii) Exact linearization using state coordinate change and feedback, also called feedback linearization. Vector fields and one-forms are defined using the tangent map and the co-tangent map induced by the system map. The necessary and sufficient conditions for the first problem are geometric conditions on f related vector fields. The second problem is solved using two different methods. In one method, we define a nested sequence of involutive and constant dimensional distributions using the f-related vector fields.
Howard Chizeck (Advisor)
126 p.
Linearization; Discrete-time systems

Recommended Citations

Citations

  • Jayaraman, G. (1995). Computational schemes for exact linearization of discrete-time systems using a geometric approach [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1058542922

    APA Style (7th edition)

  • Jayaraman, Gangadhar. Computational schemes for exact linearization of discrete-time systems using a geometric approach. 1995. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1058542922.

    MLA Style (8th edition)

  • Jayaraman, Gangadhar. "Computational schemes for exact linearization of discrete-time systems using a geometric approach." Doctoral dissertation, Case Western Reserve University, 1995. http://rave.ohiolink.edu/etdc/view?acc_num=case1058542922

    Chicago Manual of Style (17th edition)

case1058542922
605
© 1995, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.