H∞ Filter Design for Classes of Nonlinear Systems

• Author / Creator

  Movahhedi, Omid

• Estimation of internal states of nonlinear systems has been a wide area of interest in recent years for control design and online processing. According to the difficulty of setting up sensors and also the cost they impose for implementation, estimation of these states would decrease the operation cost of the
  industrial systems. Nonlinear filter design for two classes of systems known as Lipschitz and one-sided Lipschitz is presented in this thesis. Filter design for Lipschitz nonlinear systems is investigated in discrete-time and one-sided Lipschitz nonlinear systems in continuous-time. One-sided Lipschitz systems represent an extension of the well known class of Lipschitz systems that has been used in the control literature for the past four decades. We present a complete solution of the filtering problem when the noise sources have bounded energy, i.e., we solve the synthesis of the so-called H∞ filter that minimize the effect of disturbances over the estimates. Our solution will be shown to be robust with respect to parametric and unstructured nonlinear uncertainties. In the case of Lipschitz nonlinear systems, missing information and delayed measurement is modelled and the sufficient condition under which the filter design is asymptotically stable is presented. The problem is then formulated in terms of Linear Matrix Inequalities (LMIs) which can be easily solved using commercial software packages.

• Subjects / Keywords

  • Linear Matrix Inequality
  • Lipschitz Nonlinear Systems
  • Filter Design
  • One-sided Lipschitz Nonlinear Systems
  • Lipschitz Nonlinear Systems
  • Linear Matrix Inequality
  • Filter Design
  • One-sided Lipschitz Nonlinear Systems

• Graduation date

  Fall 2012

• Type of Item

  Thesis

• Degree

  Master of Science

• DOI

  https://doi.org/10.7939/R3C13R

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.