Optimal actuator/sensor placement for control of combustion instabilities

In this paper, a methodology is proposed for determination of optimal actuator and sensor locations for the control of combustion instabilities. The proposed approach relies on certain quantitative measures of degree of controllability and observability based on the controllability and observability grammians. These criteria are arrived at by considering the energies of system's inputs and outputs. The optimality criteria for sensor and actuator locations provide a balance between the importance of the lower order and the higher order modes. It is assumed that the control input is provided by a finite number of point actuators, and the instantaneous conditions in the chamber are monitored, in general, by multiple sensors.