Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Reduced Order Observer Design for One-Sided Lipschitz Nonlinear Systems

단측 Lipschitz 비선형시스템의 축차 관측기 설계

  • 이성렬 (군산대학교 제어로봇공학과)
  • Received : 2013.01.23
  • Accepted : 2013.03.21
  • Published : 2013.04.01
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Abstract

This paper describes a reduced observer design problem for one-sided Lipschitz nonlinear systems which are considered as a generalization of Lipschitz systems. The sufficient conditions to ensure the existence of reduced order observer are provided by using linear matrix inequalities. Moreover, it is shown that existence conditions of reduced order observer can be obtained from sufficient conditions on the existence of full order observer. As a result, this fact implies that the existence of full order observer for one-sided Lipschitz systems guarantees that of reduced order observer. Finally, a simulation example is given to verify the validness of the proposed design.

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References

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