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Suboptimal Control

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Encyclopedia of Optimization
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Article Outline

Keywords

Time Suboptimal Control

Use of Suboptimal Control in Complex Systems

Suboptimal Control in Other Situations

See also

References

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References

  1. Bashein G (1971) A simplex algorithm for on-line computation of time optimal controls. IEEE Trans Autom Control AC-16:479–482

    Article  MathSciNet  Google Scholar 

  2. Bennett HW, Luus R (1971) Application of numerical hill-climbing in control of systems via Liapunov's direct method. Canad J Chem Eng 49:685–690

    Article  Google Scholar 

  3. Bojkov B, Luus R (1994) Time-optimal control by iterative dynamic programming. Industr Eng Chem Res 33:1486–1492

    Article  Google Scholar 

  4. Bojkov B, Luus R (1995) Time-optimal control of high dimensional systems by iterative dynamic programming. Canad J Chem Eng 72:380–390

    Article  Google Scholar 

  5. Chant VG, Luus R (1968) Time suboptimal control of the gas absorber. Canad J Chem Eng 46:376–381

    Article  Google Scholar 

  6. Cormack DE, Luus R (1972) Suboptimal control of chemical engineering systems. Canad J Chem Eng 50:390–398

    Article  Google Scholar 

  7. Koepcke R, Lapidus L (1961) Dynamic control of chemical engineering processes using a method of Lyapunov. Chem Eng Sci 16:252–258

    Article  Google Scholar 

  8. Lapidus L, Luus R (1967) Optimal control of engineering processes. Blaisdell, Waltham, pp 354–369

    Google Scholar 

  9. Lesser HA, Lapidus L (1966) The time-optimal control of discrete-time linear systems with bounded controls. AIChE J 12:143–152

    Article  Google Scholar 

  10. Luus R (1974) Optimal control by direct search on feedback gain matrix. Chem Eng Sci 29:1013–1017

    Article  Google Scholar 

  11. Luus R (1974) A practical approach to time-optimal control of nonlinear systems. Industr Eng Chem Process Des Developm 13:405–408

    Article  Google Scholar 

  12. Luus R (1974) Time-optimal control of linear systems. Canad J Chem Eng 52:98–102

    Article  Google Scholar 

  13. Luus R (1980) Optimization in model reduction. Internat J Control 32:741–747

    Article  MATH  Google Scholar 

  14. Luus R (1991) Effect of the choice of final time in optimal control of nonlinear systems. Canad J Chem Eng 69:144–151

    Article  Google Scholar 

  15. Luus R (2000) Iterative dynamic programming. Chapman and Hall/CRC, London, pp 143–148

    MATH  Google Scholar 

  16. Luus R, Jaakola THI (1973) Optimization by direct search and systematic reduction in the size of search region. AIChE J 19:760–766

    Article  Google Scholar 

  17. Luus R, Lapidus L (1966) Use of averaging technique for stability analysis. Chem Eng Sci 21:159–181

    Article  Google Scholar 

  18. Luus R, Mutharasan R (1974) Stabilization of linear system behaviour by pole shifting. Internat J Control 20:395–405

    Article  Google Scholar 

  19. Luus R, Zhang X, Hartig F, Keil FJ (1995) Use of piecewise linear continuous control for time–delay systems. Industr Eng Chem Res 34:4136–4139

    Article  Google Scholar 

  20. Oh SH, Luus R (1975) Two-step procedure for time-suboptimal control. Internat J Control 22:749–762

    Article  MATH  Google Scholar 

  21. Oh SH, Luus R (1976) Optiml feedback control of time-delay systems. AIChE J 22:140–147

    Article  MathSciNet  Google Scholar 

  22. Oh SH, Luus R (1977) Use of orthogonal collocation method in optimal control problems. Internat J Control 26:657–673

    Article  MathSciNet  MATH  Google Scholar 

  23. Rosen O, Imanudin, Luus R (1987) Sensitivity of the final state specification for time-optimal control problems. Internat J Control 45:1371–1381

    Article  MATH  Google Scholar 

  24. Rosenbrock HH (1960) An automatic way of finding the greatest or least value of a function. Comput J 3:175–184

    Article  MathSciNet  Google Scholar 

  25. Schlossmacher EJ, Lapidus L (1971) The suboptimal control of nonlinear systems using Liapunov-like functions. AIChE J 17:1330–1341

    Article  Google Scholar 

  26. Therapos CP (1982) Suboptimal control with incomplete state feedback. Electronics Lett 18:996–997

    Article  MathSciNet  Google Scholar 

  27. Tsang ACC, Luus R (1973) Approximation in control of nonlinear dynamic systems. AIChE J 19:327–334

    Article  Google Scholar 

  28. Wong KT, Luus R (1980) Model reduction of high-order multistage systems by the method of orthogonal collocation. Canad J Chem Eng 58:382–388

    Article  Google Scholar 

  29. Wong KT, Luus R (1982) Time suboptimal feedback control of systems described by linear parabolic partial differential equations. Optimal Control Appl Meth 3:177–185

    MathSciNet  MATH  Google Scholar 

  30. Wong KT, Luus R (1983) Time suboptimal feedback control design through coordinate transformation. Internat J Control 37:723–729

    Article  MATH  Google Scholar 

  31. Wong KT, Luus R (1983) Time suboptimal feedback control of high order linear systems. Internat J Control 37:89–109

    Article  MATH  Google Scholar 

  32. Yang SM, Luus R (1983) A note on model reduction of digital control systems. Internat J Control 37:437–439

    Article  Google Scholar 

  33. Yang SM, Luus R (1983) Optimization in linear system reduction. Electronics Lett 19:635–637

    Article  Google Scholar 

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© 2008 Springer-Verlag

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Luus, R. (2008). Suboptimal Control . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_670

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