Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems

Authors:
Haibo Du;Chunjiang Qian;Shizhong Yang;Shihua Li
Affiliations:
School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, PR China and School of Automation, Southeast University, Nanjing 210096, PR China and Department of E ...;Department of Electrical and Computer Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, USA;Department of Electrical and Computer Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, USA;School of Automation, Southeast University, Nanjing 210096, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2013

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Abstract

This paper considers the problem of designing globally finite-time convergent observers for a class of nonlinear systems with time-varying and output-dependent coefficients, which make the existing design approaches inapplicable. To solve this problem, a bottom-up design approach is first employed to recursively construct a finite-time convergent observer with time-varying coefficients for the nominal system. Then, using the homogeneous domination approach, we scale the finite-time convergent observer with an appropriate choice of gain for the original nonlinear system satisfying a Holder condition. In addition, we show that the Holder condition imposed on the nonlinearities can be removed for nonlinear systems with bounded trajectories.