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This paper presents a robust and adaptive nonlinear controller to asymptotically regulate thermoacoustic oscillations in a Rijke-type system in the presence of dynamic model uncertainty and unknown disturbances. A mathematical model that includes unmodelled nonlinearities and parametric uncertainty is first introduced. A robust and adaptive non-linear control law is then developed to compensate for...
Nonlinear control of self-excited oscillations in a Rijke-type thermoacoustic system is considered. A commonly used thermoacoustic model with a number of monopole-like actuators is first introduced. The model is expressed in a nonlinear control-oriented form, which includes unmodeled nonlinearities and parametric uncertainty in both the thermoacoustic dynamics and in the actuator dynamics. A robust...
Flow disturbances could undergo transient growth to trigger thermoacoustic instability in a combustion system with non-orthogonal eigenmodes. In this work, nonlinear feedback control of thermoacoustic oscillations in a Rijke-type combustion system is considered. A generalized thermoacoustic model with distributed monopole-like actuators is proposed. To stabilize the thermoacoustic system, a Lyapunov-based...
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