Observer Design for Nonlinear Singular Systems

  • Chunyu Yang
  • Qingling Zhang
  • Linna Zhou
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 435)


Observer design for singular systems has been an active field of research in the past several decades. In this chapter, observer design for a class of nonlinear singular systems is studied. The involved nonlinear term satisfies a given quadratic inequality. Under this condition, the error system is expressed by a Lur’e singular system. As a result, the convergency of the estimate error is reduced to the stability of the Lur’e singular system. By virtue of the basic idea of absolute stability, a unified design method for full-order and reduced-order observer is derived. A class of nonlinear singular systems with disturbances is considered. Both of the state equation and the output equation of the systems contain slope-restricted nonlinear terms. An H  ∞  observer is designed such that the error system is exponentially stable and the decay rate is bigger than or equal to a given constant and the H  ∞  performance of the error system is less than or equal to a prescribed level. Furthermore, two convex optimization algorithms are given to optimize the decay rate and the H  ∞  performance, respectively.


Singular System Observer Design Quadratic Inequality Linear Singular System Nonlinear Singular System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Information and Electrical EngineeringChina University of Mining and TechnologyXuzhouP.R. China
  2. 2.College of SciencesNortheastern UniversityShenyangChina, People’s Republic

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