Abstract
In this paper, a new type of modified Smith predictor based on the H 2 and predictive PI control strategy is proposed. The modified Smith predictor not only has H 2 robust performance but also has a similar predictive PI control structure. By introducing a time delay term, the modified Smith predictor controller overcomes the shortcoming that the conventional control algorithm can only use the low-order approximation of time delay term to design the control algorithm. The modified Smith predictor controller’s output is related to the current system error and related to the output in a period before the controller. Simultaneously, the modified Smith predictor controller is applied to conventional process systems based on dynamic optimization estimation in the case study to show absolute superiority over the nonpredictive control method (such as the classical PID control method).
Highlights
Research ArticleReceived 19 May 2021; Revised 21 June 2021; Accepted 1 August 2021; Published 10 August 2021
In this paper, a new type of modified Smith predictor based on the H2 and predictive PI control strategy is proposed. e modified Smith predictor has H2 robust performance and has a similar predictive PI control structure
Zhang et al [20, 21] designed a new PID controller based on H2/H∞ method and Smith control strategy. e controller can be applied to large time delay process, but the high-order approximation method is adopted for the time delay term of process
Summary
Received 19 May 2021; Revised 21 June 2021; Accepted 1 August 2021; Published 10 August 2021. It is only applicable to stable time delay plants To overcome these shortcomings, some scholars have proposed various improved methods based on the conventional Smith predictive control strategy [15, 20, 21]. H2 optimal control theory and n/n, (n ⟶ ∞) give a better method to deal with time delay term as shown in the following equation: e− θs Qnn(− θs), Qnn(θs). Comparison of Various Modified Smith Predictors e control performance of H2 Smith predictor proposed in this paper is compared with other modified Smith predictor control algorithms (ITAE-PI/PID and Zhang [20, 21]) These modified Smith predictor methods can provide better system performance and robustness than conventional Smith estimation methods, they are challenging to apply to high-order time delay processes. (1) Static gain of the model: K ∈ [Kmin, Kmax] (2) Time constant of the model: τ ∈ [τmin, τmax] (3) e pure time delay of the model: θ ∈ [θmin, θmax] (4) Random interference of the model: d ∈ [dmin, dmax]
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