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Incomplete Feedback Design in Model-Following Systems

  • Khanh D. Pham
Chapter
  • 920 Downloads
Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Abstract

The chapter extends the theory of risk-averse control of a linear-quadratic class of model-following control systems with incomplete state feedback. It is shown that performance information can improve control decisions with only available output measurements for system performance reliability. Many of the results entail measures of the amount, value, and cost of performance information, and the design of model-following control strategy with risk aversion. This thematic view of correct-by-designs of high performance and reliable systems is a double-edged sword. By using all the mathematical statistics associated with performance appraisal to treat performance reliability it provides a unique and unifying perspective of decision making with risk consequences. On the other hand, it complicates information structures of the resulting control solutions.

Keywords

Feedback Gain Performance Information Admissible Feedback Maclaurin Series Expansion Feedforward Gain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Davison, E.J.: The feedforward control of linear multivariable time-invariant systems. Automatica 9, 561–573 (1973)MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    Davison, E.J.: The steady-state invertibility and feedforward control of linear time-invariant systems. IEEE Trans. Automat. Contr. 21, 529–534 (1976)MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Fleming, W.H., Rishel, R.W.: Deterministic and Stochastic Optimal Control. Springer, New York (1975)zbMATHCrossRefGoogle Scholar
  4. 4.
    Pham, K.D.: Statistical control paradigms for structural vibration suppression. Ph.D. Dissertation. Department of Electrical Engineering. University of Notre Dame, Indiana, U.S.A. Available via http://etd.nd.edu/ETD-db/theses/available/etd-04152004-121926/unrestricted/PhamKD052004.pdf. Cited 15 March 2012 (2004)
  5. 5.
    Pham, K.D.: On statistical control of stochastic servo-systems: performance-measure statistics and state-feedback paradigm. In: Proceedings of the 17th International Federation of Automatic Control World Congress, pp. 7994–8000 (2008)Google Scholar
  6. 6.
    Tse, E.: On the optimal control of stochastic linear systems. IEEE Trans. Automat. Contr. 16(6), 776–785 (1971)CrossRefGoogle Scholar
  7. 7.
    Yuksel, S., Hindi, H., Crawford, L.: Optimal tracking with feedback-feedforward control separation over a network. In: Proceedings of the American Control Conference, pp. 3500–3506 (2006)Google Scholar

Copyright information

© Khanh D. Pham 2013

Authors and Affiliations

  • Khanh D. Pham
    • 1
  1. 1.The Air Force Research LaboratorySpace Vehicles DirectorateKirtland Air Force BaseUSA

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