Emulator-based DGPC with state feedback

For sampled dynamic systems, the delta operator is an attractive alternative to the shift operator. Knowing that at rapid sampling rates, system using the delta operator shows better numerical properties and a closer rapprochement to the continuous-time description. In the paper, emulator-based DGPC (delta-operator generalized predictive control) with state feedback is proposed. The state space form of emulator based DGPC is discussed and the state feedback one step ahead predictive control are adopted, the paper presents the controller with output prediction feedback and state feedback for fast sampled adaptive control systems. The structure of state feedback generalized predictive control in delta domain is a dynamic state variable feedback control using the estimated state variable feedback control. Due to the established state dynamic feedback, the ability of rejection undetectable disturbance is increased. The numerical example shows the effectiveness of the proposed algorithm.