Finite-time Stabilization with Output-constraints of A Class of Highorder Nonlinear Systems

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Abstract

In this paper, the finite-time stabilization with output-constraint is investigated for a class of high-order nonlinear systems with the powers of positive odd rational numbers by constructing a Barrier Lyapunov function. First, sufficient conditions on characterizing the nonlinear functions of the considered systems are derived. Then, based on the technique of adding one power integrator, the global finite-time stabilizers of individual subsystems are systematically constructed to guarantee global finite-time stability with output constraints of the closed-loop nonlinear system. Finally, an example is provided to demonstrate the effectiveness of the proposed result.

Keywords

Adding one power integrator barrier Lyapunov function finite-time stabilization high-order nonlinear systems output constraint 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of MathematicsLiaoning UniversityShenyangChina
  2. 2.College of Information Science & EngineeringNortheastern UniversityShenyang, LiaoningChina

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