Practical stability with respect to model mismatch of approximate discrete-time output feedback control

This paper establishes asymptotic stability results for stochastic discrete-time output feedback control problems involving mismatch between the exact system to be stabilised and the approximating system used to design the controller. The stability results established are in the sense of an asymptotic bound on the expected error bias induced by the model approximation. Importantly, the stability results established here do not require the approximating system to be of the same model type as the exact system. An example is presented to illustrate the nature of the presented results.