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Stabilizability and Disturbance Rejection with State-Derivative Feedback

Author

Listed:
  • Manoel R. Moreira
  • Edson I. Mainardi Júnior
  • Talita T. Esteves
  • Marcelo C. M. Teixeira
  • Rodrigo Cardim
  • Edvaldo Assunção
  • Flávio A. Faria

Abstract

In some practical problems, for instance in the control of mechanical systems using accelerometers as sensors, it is easier to obtain the state-derivative signals than the state signals. This paper shows that (i) linear time-invariant plants given by the state-space model matrices with output equal to the state-derivative vector are not observable and can not be stabilizable by using an output feedback if and (ii) the rejection of a constant disturbance added to the input of the aforementioned plants, considering , and a static output feedback controller is not possible. The proposed results can be useful in the analysis and design of control systems with state-derivative feedback.

Suggested Citation

  • Manoel R. Moreira & Edson I. Mainardi Júnior & Talita T. Esteves & Marcelo C. M. Teixeira & Rodrigo Cardim & Edvaldo Assunção & Flávio A. Faria, 2010. "Stabilizability and Disturbance Rejection with State-Derivative Feedback," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-12, December.
    • Handle: RePEc:hin:jnlmpe:123751
    DOI: 10.1155/2010/123751
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