Arman Tavakoli, Applied Math, University of Waterloo
H2-Optimal Sensor Location
The problem is examined for the Euler-Bernoulli equation on a one-dimensional beam and the heat equation in a two-dimensional room. Optimal sensor location is calculated numerically for both models, and multiple scenarios are considered where the location of the disturbance and the actuator are varied. The effects of different model parameters such as the weight of the state and the disturbance are investigated.
For a system that is heavily weighted by the disturbance, it is found that the optimal sensor location tends to collocate with the disturbance. A larger weight for the state variable tends to move the optimal sensor location towards the actuator.