The proportional-integral controller design based on a Smith-like predictor for a class of high order systems

Abstract

Heat transfer and fluid flow play important roles in industrial processes, especially in chemical and thermal processes. Their dynamics are often modelled as high order systems with the type of [Formula: see text], which have slow responses to the set point and the input disturbance. To enhance the tracking and disturbance rejection performance of these systems, a control structure combining the proportional-integral (PI) controller and Smith-like predictor is proposed in this paper. The tracking and disturbance rejection performance of the proposed control structure with the order mismatch are analyzed. In addition, the precondition where the proposed control structure can obtain satisfactory disturbance rejection performance is deduced. By analyzing the influence of PI parameters on control performance, an empirical tuning rule, which can balance the control performance and robustness constraint well, is summarized and the corresponding tuning toolbox is developed. Finally, the superiority of the proposed control structure is verified by simulations and comparative experiments based on Peltier temperature control platform.

Robust integral controller design based on composite nonlinear feedback in uncertain systems with constrained inputs and external disturbances

“…Regarding u min ≤ u iL ≤ u max , i = 1, 2, … , m and 𝜔 = sat(u L + u N ) − u L , the term 2𝜉 T PB C (𝜃)𝜔 is always negative. 47 Consequently, Ψ < 0 would be a sufficient condition to verify (28). Now pre-and post-multiplies Ψ by 𝛾…”

“…27 The PI controller coupled with Smith predictor is investigated for high-order systems. 28 A robust CNF control based on integral sliding-mode is designed for uncertain delayed systems under input saturation. 29 Lately, employing the CNF idea, an output-feedback integral controller is developed for linear systems with saturation.…”

Observer‐based control for high order delayed systems with an unstable pole and a pole at the origin

“…Another traditional control strategy for linear systems with delay is the Smith Predictor [13]. The objective of this strategy is to obtain an estimate of one or more signals of interest before they are delayed, and these signals of interest are subsequently used to carry out a delay‐free system control strategy; some recent works have been published using these ideas [14]. The main disadvantage of the Smith Predictor is that it only works for stable systems.…”

Desired dynamic equational proportional‐integral‐derivative controller design based on probabilistic robustness

“…The proportional-integral-derivative (PID) controller is of dominance in modern control systems and widely applied to industrial processes such as thermal engineering, chemical engineering, and mechanics. 13 Because of its simple structure and reliable control performance, it is regarded as the first choice for engineers although advanced control strategies such as model predictive control, 14 active disturbance rejection control (ADRC), [15][16][17] and slide model control 18 have been developed rapidly in recent years. The PID controller originates from Minorsky's research on ship steering servomechanism in 1922.…”