State space modeling and robust reduced-order control of combustion instabilities

Thermoacoustic instabilities in combustion processes can have adverse effec ts on system performance. In this paper we formulate the problem of active control of combustion instabilities in a form that lends itself to the appl ication of robust feedback control design. Using an uncertain state-space c ombustion system model, the parameter-dependent Lyapunov function framework for robust fixed-order controller design developed by Haddah and Bernstein is used to design high-performance reduced-order robust controllers for su ppressing thermoacoustic oscillations in combustion chambers. (C) 2000 The Franklin Institute. Published by Elsevier Science Ltd, All rights reserved.