Recursive Deadbeat Controller Design

This paper presents a recursive algorithm for the deadbeat predictive control that brings the output response to rest after a few time steps. The main idea is to put together the system identification process and the deadbeat control design into a unified step. It starts with reformulating the conventional multi-step output-prediction equation to explicitly include the coefficient matrices to weight past input and output time histories for computation of feedback control force. The formulation thus derived satisfies simultaneously the system identification and the deadbeat control requirements. As soon as the coefficient matrices are identified satisfying the output prediction equation, no further work is required to design a deadbeat controller. The method can be implemented recursively just as any typical recursive system identification techniques. ∗Principal Scientist, Structural Dynamics Branch. Fellow AIAA †Assistant Professor, Department of Aerospace and Mechanical Engineering.