Analytical design of a generalised predictor‐based control scheme for low‐order integrating and unstable systems with long time delay

Abstract

Institution of Engineering and Technology (IET)Chen, Y.; Liu, T.; García Gil, PJ.; Albertos Pérez, P. (2016). Analytical design of a generalised predictor-based control scheme for low-order integrating and unstable systems with long time delay. IET Control Theory and Applications. 10 (8)

New Predictor and 2DOF Control Scheme for Industrial Processes With Long Time Delay

“…Note that a stable pole of ( ) G z close to the unity circle or larger than the closed-loop transfer function pole will result in a slow behavior of the controlled plant. Thus, inspired by the optimal closed-loop transfer function for disturbance rejection developed in the recent work [22], but also considering the slow stable pole p z if it exists, the desired d T is proposed to satisfy the following asymptotic constraints in order to cancel the influence from undesired plant poles that are close to, on or outside the unit circle in the z-plane, d lim( 1) 0…”

“…The 2DOF controllers are configured by using the formulae in (26), ( 28), ( 29) and (37) with d 3 n = and f 2 n = , obtaining It is again seen that evidently improved control performance is obtained by the proposed method. Then a perturbation test assumed in [22] is performed, i.e., the process time delay and proportional gain are actually 5% larger while the stable pole is 5% smaller than the model. The corresponding IAE and TV indices are listed in Table I, once again demonstrating good robust stability by the proposed method.…”

“…[15][16][17][18][19][20][21][22]), based on the use of practical loworder process models with time delay. Among these references, the IMC theory for optimizing the set-point tracking was adopted in [15,17,22,23], and in contrast, a few set-point filtering strategies were developed in [16,18,19,21]. For optimizing the disturbance rejection, a few desired transfer functions of disturbance response were proposed in [15,18,19,22], taking into account some practical types of disturbances.…”

Predictor-based fractional disturbance rejection control for LTI fractional-order systems with input delay

“…The control design for processes with long time delay, particularly systems with input delay, is very demanding because of the extra phase lag introduced by the time delay, which may lead to performance decline of the control system or even its instability (Normey-Rico, 2007). Hence, the control of time-delay processes, especially processes with input delay, has caught remarkable attentions in the recent past (Albertos and García, 2009; García and Albertos, 2013; Léchappé et al, 2015; Normey-Rico and Camacho, 2009; Normey-Rico et al, 2014; Chen and Liu, 2016). It has been well known that processes with significant time delay are not effectively controlled using classical PID controller.…”

Predictor-Based Disturbance Rejection Control for Sampled Systems With Input Delay

“…[1,2], which may provoke performance deterioration even instability of the control system, in particular for the presence of input delay, or equivalently, delayed output response [3]. Hence, control of industrial systems with time delay, especially for input delay, has attracted considerable attentions in the recent years [4][5][6][7][8][9]. It has been well known that the conventional PID controller could This work is supported in part by the NSF China Grants 61633006 and 61473054, and the National Thousand Talents Program of China.…”