Article,

Design and Implementation of Proportional Integral Observer based Linear Model Predictive Controller

(Eds.)
ACEEE Int. J. on Control System and Instrumentation, (February 2013)

Abstract

This paper presents an interior-point method (IPM) based quadratic programming (QP) solver for the solution of optimal control problem in linear model predictive control (MPC). LU factorization is used to solve the system of linear equations efficiently at each iteration of IPM, which renders faster execution of QP solver. The controller requires internal states of the system. To address this issue, a Proportional Integral Observer (PIO) is designed, which estimates the state vector, as well as the uncertainties in an integrated manner. MPC uses the states estimated by PIO, and the effect of uncertainty is compensated by augmenting MPC with PIO- estimated uncertainties and external disturbances. The approach is demonstrated practically by applying MPC to QET DC servomotor for position control application. The proposed method is compared with classical control strategy-PID control.

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