Optimal Generalized Predictive Functional Control with Applications to Extended PID Control for Quadruple Tank

Abstract

Algorithm of optimal Generalized Predictive Functional Control is presented towards the control problem of linear discrete-time state-space multivariable systems. A quadruple tank system is simulated to demonstrate typical results. The proposed controller has been structured in a reduced order arrangement including a set of specified linear transfer-functions along with gains that are found to minimize a GPC cost-index. This approach enables a range of classical controller structures to be used in the feedback loop such as extended PI, PID or Lead-lag or a more general transfer function form. A MATLAB simulation was used to test the performance of the restricted structure controller for regulation and tracking problems and was compared against a classical PI Controller.

Nonlinear Optimal Generalized Predictive Functional Control of Piecewise Affine Systems

“…The merit of using the Sd model of PWA systems is because Sd systems are much simpler to construct since all state, input constraints and logic state can be incorporated in the Sd system model. This work is the Nonlinear Generalized Predictive Functional Control (NGPFC) [12], [13] extension for PWA systems. PWA is a main class of HS and a proper structure to describe or approximate various physical processes as approximating NL systems using multiple linearizations over different operating points.…”