An Integrated Lattice Filter Adaptive Control System for Time-Varying CMM Structural Vibration Control, Part 1: Theory and Simulation

Abstract

An integrated lattice filter adaptive control system is developed for the control of time-varying CMM structural vibrations. An efficient algorithm is developed to provide a link between the adaptive lattice filter and the minimum variance control by directly utilizing the lattice filter parameters at time t − 1 for control. The approach avoids the conversion to system parameters and is therefore computationally efficient for applications of real time control. To fully utilize the benefit of the lattice filter, a heuristic criterion for on-line order determination is developed using the lattice filter parameters. With a linear computational cost, the developed algorithm will perform on-line system order determination, parameter tracking, and control calculation at each sampling instance. The simulation result shows that the approximation of output prediction is reasonable and the integrated lattice filter adaptive control can reduce the system settling time by 82 percent as compared with no control.