Nonlinear Optimal Generalized Predictive Functional Control of Piecewise Affine Systems

Abstract

An algorithm for nonlinear optimal generalized predictive functional control is defined for controlling discretetime piecewise affine systems. The main piecewise affine form is transferred into a corresponding state-dependent system form. The principal piecewise affine system's hybrid properties are retained, and both the continuous and switching dynamics are combined in the same system description. This method enables the use of nonlinear generalized predictive functional control for this hybrid system class. In the generalized predictive functional control method, different classical controller structures can be employed in the feedback loop, such as PI, PID or other classical transfer-function structures. The loop controller is defined here to have a PI structure, and its selected linear transfer-functions set is multiplied by gains that are found to minimize a GPC type of cost-index. The simulation results are shown using a model of a continuous stirred tank reactor.

Generalized fuzzy cascade predictive functional control design for different types of challenging dynamics systems

“…One of the main drawbacks of the traditional PFC technique is that it cannot cope well with challenging dynamic systems and may fail when dealing with unstable systems (Rossiter, 2017; Rossiter and Aftab, 2021). In addition, in many studies such as Alotaibi et al (2021), it is considered that the reference and disturbance states can be estimated. However, in practice, only the output trajectory of reference and disturbances may be available (Karimi-Ghartemani et al, 2011).…”

“…In many studies, a reference signal is exactly achieved in the steady state by the output (not the states) and robust properties including disturbance rejection are obtained optimally. Moreover in these methods, using reference and disturbance trajectories in the solution results in additional computational cost due to utilizing an estimator (Alotaibi et al, 2021). In some studies, tracking a reference in a finite time is addressed via a fuzzy backstepping control technique (Chen et al, 2021).…”