Title
From Parametric Model-based Optimization to robust PID Gain Scheduling
Abstract
In chemical process applications, model predictive control effectively deals with input and state constraints during transient operations. However, industrial PID controllers directly manipulates the actuators, so they play the key role in small perturbation robustness. This paper considers the problem of augmenting the commonplace PID with the constraint handling and optimization functionalities of MPC. First, we review the MPC framework, which employs a linear feedback gain in its unconstrained region. This linear gain can be any preexisting multiloop PID design, or based on the two stabilizing PI or PID designs for multivariable systems proposed in the paper. The resulting controller is a feedforward PID mapping, a straightforward form without the need of tuning PID to fit an optimal input. The parametrized solution of MPC under constraints further leverages a familiar PID gain scheduling structure. Steady state robustness is achieved along with the PID design so that additional robustness analysis is avoided.
Year
Venue
Field
2013
CoRR
Control theory,Parametric model,Multivariable calculus,PID controller,Control theory,Gain scheduling,Model predictive control,Robustness (computer science),Control engineering,Mathematics,Feed forward
DocType
Volume
Citations 
Journal
abs/1305.6402
0
PageRank 
References 
Authors
0.34
11
2
Name
Order
Citations
PageRank
Minh Hoang-Tuan Nguyen100.68
Kok Kiong Tan292399.57