Robust control for a class of nonlinear systems with unknown measurement drifts

• Wenting Zha ^[1] ; Chunjiang Qian ^[2] ; Junyong Zhai ^[1] ; Shumin Fei ^[1]
  1. [1] Southeast University

     Southeast University

     China

     
  2. [2] Harbin Institute of Technology;China
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 71, 2016, págs. 33-37
• Idioma: inglés
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• Resumen

  • This paper addresses the problem of designing a robust controller for a class of nonlinear systems whose states cannot be precisely measured caused by the unknown drifts in the powers of the measurement functions. By adopting the concept of homogeneity with monotone degrees and revamping the technique of adding a power integrator, a new design procedure is introduced to recursively construct a generalized homogeneous controller with monotone degrees as well as a Lyapunov function with unknown parameters. The proposed controller is able to globally stabilize a family of nonlinear systems with different measurement drifts whose bounds can be determined by solving an optimization problem.