Discrete-Time Tip Position Control of a Flexible One Arm Robot

Abstract

A predictive adaptive control algorithm is developed for tip position control based on the zero-order-hold equivalence of the nondimensionalized dynamic model of a flexible robot arm. A lattice filter is utilized for the purpose of parameter identification. The proposed control scheme provides an optimal output feedback control and, together with the lattice filter parameter identifier, it forms a special self-tuning regulator. It is then compared with other methods, such as linear quadratic Gaussian and stable factorization. A stability criterion for this control algorithm is also presented. The effects of the actuator dynamics on the overall system response and stability are investigated. Actuator dynamics model parameters are chosen from the actual specifications provided by manufacturers.