Adaptive Predictive Functional Control with Similar PI Structure using Unstructured System Identification Based on Laguerre Functions

Abstract

In this paper, unstructured system identification algorithm based on orthonormal Laguerre functions is combined with predictive functional control such that similar classical PI controller is constructed. Lack of mathematical model and initial information about process is not a restriction for mentioned algorithm and unstructured system identification based on Laguerre functions can overcome these restrictions. Augmenting new state variables to system state space, a new algorithm is constructed. This algorithm has similar structure with classical PI controller and in predictive control's cost function, in addition to tracking error, system states is utilized, that leads to improve controller dynamical performance. This new algorithm is simulated on the superheated steam temperature system in thermal power plant. Simulation results show capabilities of this algorithm.

Adaptive Predictive Functional Control of X-Y Pedestal for LEO Satellite Tracking Using Laguerre Functions

“…Laguerre functions are a complete orthonormal set in L 2 (0, ∞) space, and they are particularly popular due to their simple realization. These functions are defined as a functional series [27,28,30,31]:…”

“…where p is a constant called time scaling factor, and t ∈ [0, ∞) is a time variable. The Z-transform of the Laguerre functions is [27,28,30,31]:…”

“…Hence, the system outputs could be derived in the time domain directly. Using Laguerre functions, the system can be expressed in the discrete form as [27,28,30]:…”

“…In this paper, unstructured system identification based on Laguerre functions [24][25][26][27][28][29][30][31] is combined by predictive functional control to achieve an adaptive predictive functional control algorithm. In this line, PFC is the control law, while the Laguerre functions are utilized for system modeling.…”