Optimal nonlinear distributed control of spatially-invariant systems

Abstract

We consider optimal distributed control for linear distributed systems with non-quadratic performance criteria expressed as a power series. Using power series methods, we derive a recursive procedure to obtain the successive power series terms of the optimal value function and state feedback. In the case of spatially invariant systems we show how the state feedback power series terms represented as tensors can be easily constructed using multi-dimensional Fourier transforms.