Time optimal control of a second order nonlinear plant

Krishnan Balachandran; D. Somasundaram

Kybernetika (1984)

  • Volume: 20, Issue: 3, page 244-249
  • ISSN: 0023-5954

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Balachandran, Krishnan, and Somasundaram, D.. "Time optimal control of a second order nonlinear plant." Kybernetika 20.3 (1984): 244-249. <http://eudml.org/doc/28731>.

@article{Balachandran1984,
author = {Balachandran, Krishnan, Somasundaram, D.},
journal = {Kybernetika},
keywords = {time-optimal control; second-order; nonlinear systems},
language = {eng},
number = {3},
pages = {244-249},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Time optimal control of a second order nonlinear plant},
url = {http://eudml.org/doc/28731},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Balachandran, Krishnan
AU - Somasundaram, D.
TI - Time optimal control of a second order nonlinear plant
JO - Kybernetika
PY - 1984
PB - Institute of Information Theory and Automation AS CR
VL - 20
IS - 3
SP - 244
EP - 249
LA - eng
KW - time-optimal control; second-order; nonlinear systems
UR - http://eudml.org/doc/28731
ER -

References

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  1. M. Athans, P. L. Falb, Optimal Control, McGraw Hill, New York 1966. (1966) Zbl0196.46303MR0204181
  2. E. B. Lee, L. Markus, Foundations of Optimal Control Theory, John Wiley, New York 1967. (1967) Zbl0159.13201MR0220537
  3. J. L. G. Almuzara, I. Flugge-Lotz, Minimum time control of a nonlinear system, J. Differential Equations 4 (1968), 1, 12-39. (1968) MR0218710
  4. A. Boettiger, V. B. Haas, Synthesis of time-optimal control of a second order nonlinear process, J. Optim. Theory Appl. 4 (1969), 1, 22-39. (1969) Zbl0167.09102MR0249775
  5. E. M. James, Time optimal control and the Van der Pol oscillator, J. Inst. Math. Appl. 13 (1974), 1, 67-81. (1974) Zbl0275.49039MR0346633
  6. I. Vakilzadeh, Bang-bang control of a plant with one positive and one negative real pole, J. Optim. Theory Appl. 24 (1978), 2, 315- 324. (1978) MR0528777
  7. I. Vakilzadeh, A. A. Keshavarz, Bang-bang control of a second order nonlinear stable plant with second order nonlinearity, Kybernetika 18 (1982), 1, 66-71. (1982) 
  8. I. Vakilzadeh, A. A. Keshavarz, Bang-bang control of a second order nonlinear unstable plant with third order nonlinearity, Internat. J. Control 34 (1981), 3, 457-463. (1981) MR0631291
  9. V. G. Boltyanskii, An example of nonlinear synthesis, (in Russian). Differencial'nye Uravneniya 6 (1970), 4, 644-649; (in English) Differential Equations 6 (1970), 4, 495-498. (1970) MR0305203

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