Sampled-data nonlinear control of a Lotka-Volterra system with inputs

Sampled-data control is attempted to a Lotka-Volterra type system with inputs, using a recently proposed, accurate discretization method which yields the discrete-time model in an affine-in-input form. While known exact discrete-time models are non-affine in general even for affine continuous-time nonlinear systems, the proposed discrete-time model retains the affine nature and is accurate, making the subsequent controller design simple and effective. The resulting closed-loop system under proposed sample-data control law is shown to preserve the original equilibrium states and the dynamics of the desired system. Simulations demonstrate that the proposed method has better performances, especially for large sampling periods, than the best conventional method known to the authors.