Optimal Control of Gas Turbine Engines Using Mathematical Programming

  • Gennady G. Kulikov
  • Haydn A. Thompson
Part of the Advances in Industrial Control book series (AIC)


In previous chapters, different types of mathematical models of aero engines were described along with methods for their creation and estimation. Also, some application areas were considered, which included conventional engine control, controller testing and engine condition monitoring. In this chapter, mathematical models of aero engines are applied to design of optimal control. Within this approach two main issues are considered: optimal control laws based on static engine modelling and optimal control algorithms making the engine follow program trajectories with maximum accuracy. The last is based upon engine dynamic modelling. Optimal control is presented as a mathematical programming problem, which consists of an objective function, equality constraints, and inequality constraints [1]. Examples illustrate implementation of the proposed approach to solving various optimization problems in aero engine control.


Specific Fuel Consumption Shaft Speed Engine Parameter Aero Engine Minimum Fuel Consumption 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Greensite AL. Control Theory: Elements of Modern Control theory. New York: Spartan, 1970.Google Scholar
  2. 2.
    Shevyakov AA, editor. Integrated Control of Aero Power Plants. (In Russian). Moscow: Mashinostroenie, 1983.Google Scholar
  3. 3.
    Singh MG, Titli A, editors. Systems: Decomposition, Optimisation and Control. New York: Pergamon, 1987.Google Scholar
  4. 4.
    Dutton K, Thompson S, Barraclough B. The Art of Control Engineering. New York: Addison-Wesley, 1997.Google Scholar
  5. 5.
    Kuo BC. Automatic Control Systems. Englewood Cliffs, NJ: Prentice-Hall, 1995.Google Scholar
  6. 6.
    Canon MD, Cullum CD, Polak E. Theory of Optimal Control and Mathematical Programming. New York: McGraw-Hill, 1970.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag London 2004

Authors and Affiliations

  • Gennady G. Kulikov
    • 1
  • Haydn A. Thompson
    • 2
  1. 1.Department of Automated Control SystemsUfa State Aviation Technical UniversityRussia
  2. 2.Department of Automatic Control and Systems EngineeringThe University of SheffieldSheffieldUK

Personalised recommendations