Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


case1143611470.pdf (518.46 KB)

ETD Abstract Container

Abstract Header

Observation and Estimation of Nonlinear Systems

Wei, Jianfeng
http://rave.ohiolink.edu/etdc/view?acc_num=case1143611470

Abstract Details

2006, Doctor of Philosophy, Case Western Reserve University, Systems and Control Engineering.
This dissertation addresses observer design issues both for continuous nonlinear systems and discrete nonlinear systems. In practice, not all the state variables are available for direct measurement. However, there are needs for a reliable estimation of the unmeasurable state variables, especially when they are used in the model-based output feedback controllers. To meet these needs, a state observer or estimation is usually employed in order to accurately reconstruct the unmeasurable state variables. In the case of linear systems, both Kalman filter and Luenberger observe theory offer a comprehensive satisfactory answer to the problem. In the field of nonlinear systems, the nonlinear observer design problem is much more complicated. The first part of the dissertation is to develop an observer design scheme for multioutput nonlinear systems. Under bounded trajectory condition, inspired by observer design method for the single-output nonlinear systems, an observer design method with adaptive feature is derived for multi-output nonlinear systems. The systems under consideration cover the block-triangular observer forms studied previously in the literature. Extensions to detectable systems and controlled systems are also considered. Transforming a general nonlinear system into a system with certain property and certain form has been proved an effective and efficient way to tackle the complex nonlinearities. Searching for conditions to transform general nonlinear system into certain canonical form has been a constant strive in nonlinear control research in the past two decades. In the observer design field, discrete time nonlinear systems are less studied, while there have been fruitful results on searching for various observer canonical forms for continuous nonlinear systems. To design observer for nonlinear discrete systems, one approach is to find a suitable change of coordinates, transform the nonlinear system into a linear one, then for which observer is designed. The second part of this dissertation is devoted to finding a set of necessary and sufficient conditions under which nonlinear discrete-time systems are equivalent to the so-called output-scaled linear observable forms (with output injection). Both single output and multi-output cases are considered.
Wei Lin (Advisor)
Engineering, System Science
Design of Observer; ki; Observer; NONLINEAR SYSTEMS

Recommended Citations

Citations

  • Wei, J. (2006). Observation and Estimation of Nonlinear Systems [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1143611470

    APA Style (7th edition)

  • Wei, Jianfeng. Observation and Estimation of Nonlinear Systems. 2006. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1143611470.

    MLA Style (8th edition)

  • Wei, Jianfeng. "Observation and Estimation of Nonlinear Systems." Doctoral dissertation, Case Western Reserve University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=case1143611470

    Chicago Manual of Style (17th edition)

case1143611470
1,732
© 2006, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.