Set point weighted modified Smith predictor with PID filter controllers for non-minimum-phase (NMP) integrating processes

A simple modified Smith predictor design for the control of non-minimum-phase integrating processes with/without a zero is proposed. The method consists of two controllers, one for set point tracking and the other for disturbance rejection. The controllers are designed based on direct synthesis approach. The set point tracking controller is designed as a proportional-integral-derivative (PID) with lag filter and the disturbance rejection controller is designed as a proportional-derivative (PD) with lead lag structure. Typical types of integrating processes with/without zero are considered and the controllers are designed in a unified approach for all the types of integrating processes. Extensive simulation studies have been carried out on various integrating processes with/without zero. The present method gives good disturbance rejection response and significant improvement when compared to the recently reported methods in the literature.     

积分和不稳定时滞对象的改进内模控制

针对化工过程中一阶积分和不稳定时滞对象,基于内模控制提出了两自由度控制方案。首先根据鲁棒控制理论H2最优性能指标设计设定值跟踪控制器,然后采用期望闭环补灵敏度函数确定扰动抑制控制器。设定值跟踪控制器和扰动抑制控制器可通过性能参数独立调节而无需再取折衷,同时保证系统具有较好的鲁棒稳定性。最后通过仿真实例验证了该控制方案的有效性。     

一种改进的Smith预估控制系统

提出一种改进的Smith预估器 ,在常规Smith预估器的基础上增加了两个控制器 ,内环控制器用来稳定积分和不稳定过程 ,反馈控制器对干扰进行抑制 ,并把主控制器设为设定值加权PI控制器。仿真结果表明 ,该方案不仅可行 ,而且在模型失配的条件下 ,控制品质比常规的Smith预估控制有很大的改善。     

Performance assessment of cascade controllers for nitrate control in a wastewater treatment process

A cascade control strategy is proposed to the benchmark simulation model 1 (BSM1) to enhance the treatment performance of nitrogen removal in a biological wastewater treatment plant. The proposed control approach consists of two control loops, a primary outer loop and a secondary inner loop. The method has two controllers of which the primary loop has a model predictive control (MPC) controller and the secondary loop has a proportional-integralderivative (PID) controller, which is a cascade MPC-PID controller. The primary MPC controller is to control the nitrate concentration in the effluent, and the secondary PID controller is to control the nitrate concentration in the final anoxic compartment. The proposed method controls the nitrate concentrations in the effluent as well as in the final anoxic reactor simultaneously to strictly satisfy the quality of the effluent as well as to remove the effects of disturbances more quickly by manipulating the external carbon dosage rate. Because the control performance assessment (CPA) technique has the features of determining the capability of the current controller and locating the best achievable performance, the other novelty of this paper is to suggest a relative closed-loop potential index (RCPI) which updates the CPA technology into a closed-loop cascade controller. The proposed method is compared with a cascade PID-PID control strategy and the original PID controller in BSM1 and an improved performance of the suggested cascade MPC-PID controller is obtained by using the CPA approach.     

改进Smith预估控制器的解析设计

针对化工过程常见的积分和不稳定时滞对象,基于改进的史密斯预测控制提出了两自由度控制方案。首先根据鲁棒控制理论H2最优性能指标设计设定值跟踪控制器,然后在分析稳定性和抗扰性的基础上设计了扰动抑制控制器,设定值跟踪控制器和扰动抑制控制器可通过性能参数独立调节和优化。同时针对存在的乘性不确定性过程分析了系统的鲁棒稳定性。最后通过仿真实例验证了该控制方案的有效性。     

The 2-port control system

The 2-port control structure is introduced to develop a complete framework for the analysis and design of robust predictive controllers. It is particularly suited for the optimum resolution of controller design trade-offs, such as performance to set-point tracking vs. disturbance rejection, and performance at various frequencies. Furthermore, the 2-port control structure allows the transparent design of effective controllers for processes with non-minimum phase characteristics, or inherently unstable open-loop dynamics. Finally, it offers, the necessary and sufficient conditions for the design of effective adaptive control strategies. Various illustrations are also provided to demonstrate the relationship of the 2-port control structure to other design frameworks, such as internal model control (IMC), and conventional feedback with analytic predictors.     

Pattern-based closed-loop quality control for the injection molding process

The basis for a novel pattern-based closed-loop control strategy for the injection molding process is presented. The strategy uses artificial neural networks (ANNs) embedded within a cascade design to analyze sensor patterns, identify process character and control part quality. The platform for this work, the injection molding process, is an industrially significant, cyclic manufacturing operation. Final part quality of this process is a nonlinear function of many machine and polymer variables. Part quality control of this process is currently attained via single input–single output machine controls supervised by human operators. Presented here is a method that employs ANN technology to improve upon this approach and provide the basis for closed-loop part quality control. In the cascade design, machine controller set-points of an inner loop are updated based on ANN analysis of mold cavity pressure patterns. The controller action maintains the desired pressure pattern set-point of the outer loop associated with desired part quality. Control strategy details are provided along with set-point tracking demonstrations that support feasibility of this pattern-based approach.     

A unified approach to the design of advanced proportional-integral-derivative controllers for time-delay processes

A unified approach for the design of proportional-integral-derivative (PID) controllers cascaded with first-order lead-lag filters is proposed for various time-delay processes. The proposed controller’s tuning rules are directly derived using the Padé approximation on the basis of internal model control (IMC) for enhanced stability against disturbances. A two-degrees-of-freedom (2DOF) control scheme is employed to cope with both regulatory and servo problems. Simulation is conducted for a broad range of stable, integrating, and unstable processes with time delays. Each simulated controller is tuned to have the same degree of robustness in terms of maximum sensitivity (Ms). The results demonstrate that the proposed controller provides superior disturbance rejection and set-point tracking when compared with recently published PID-type controllers. Controllers’ robustness is investigated through the simultaneous introduction of perturbation uncertainties to all process parameters to obtain worst-case process-model mismatch. The process-model mismatch simulation results demonstrate that the proposed method consistently affords superior robustness.     

A new direct-synthesis tuning method for pi-controllers

A new efficient tuning method for proportional-integral (PI) controllers is proposed using overdamped closed-loop dynamics of the system. In line with other direct-synthesis and IMC methods, this new approach uses the desired closed-loop response to satisfy usual control and tuning objectives, but unlike the most other tuning methods hitherto-reported for PID controllers, it does not require that a process model be identified. Yet this new direct-synthesis (NDS) method is capable of making the controller perform the dual control functions of both good set-point tracking and disturbance rejection. Furthermore, it turns out that the new tuning method works equally well for difficult cases like large time delay and nonminimum phase processes. Finally, it can be said that this NDS method can be easily implemented and understood by the plant operating personnel because it has been developed emphasizing its on-site utility.     

Robust controller synthesis for multivariable nonlinear systems with unmeasured disturbances

This work concerns robust controller synthesis using the differential geometric concepts for minimum phase nonlinear systems with unmeasurable disturbances. A pseudo-linearization of the disturbance model at the input-output linearization stage is applied to yield a linear subsystem for controller design. Based on this linear model, a multi-loop controller framework is implemented, whereby μ-synthesis is used to design off-line robust controller in the outer loop while state feedback is implemented in the inner loop. Through proper selection of weights, the outer robust controller is explicitly designed to address both uncertainty and disturbance rejection whereas the inner controller is used for on-line static state feedback. Numerical simulations are used to illustrate robustness of the controller for multi-input multi-output temperature control in two non-isothermal continuous stirred tank reactors in series.     

Disturbance rejection of dead-time processes using disturbance observer and model predictive control

This article mainly focuses on disturbance rejection of dead-time processes by integrating a modified disturbance observer (MDOB) with a model predictive controller (MPC). The effect caused by model mismatches is regarded as a part of the lumped disturbances. This means that the disturbances considered here include not only external disturbances, but also internal disturbances caused by model mismatches. Control structure of the proposed method includes two parts which can be designed separately. The MPC which acts as a prefilter, is employed to generate appropriate control actions such that a desired setpoint tracking response is achieved. The MDOB is employed to estimate the disturbances of the closed-loop system, and the estimation is used for feedforward compensation design to reject disturbances. Rigorous analysis of setpoint tracking and disturbance rejection properties of the closed-loop system are given in the presence of both model mismatches and external disturbances. The proposed scheme is applied to control the temperature of a simplified jacketed stirred tank heater (JSTH). Simulation results demonstrate that the proposed method possesses a better disturbance rejection performance than those of the MDOB-PI, MPC and PI methods in controlling such dead-time processes.     

A Critical Study of Decentralized Controllers for a Multivariable System

Industrial processes are naturally multivariable in nature. A comparison of multivariable decentralized controllers has been performed and a multivariable four interconnected water tank system, which exhibits a RHP (Right Half Plane) zero is considered for decentralized control. The characteristics of a four‐tank system are discussed and a decentralized PI (Proportional‐Integral) controller is designed for the system based on various control algorithms. The algorithms are simulated using MATLAB and the performances are compared for reference tracking, disturbance rejection and model uncertainty cases. The comparison of the results show that the controllers based on Gershgorin band and Ideal relay method are suitable for the control of a four‐tank system.     

A model predictive functional control based on proportional-integral-derivative (PID) and proportional-integral-proportional-derivative (PIPD) using extended non-minimal state space: Application to a molten carbonate fuel cell process

The performance of most controllers, including proportional-integral-derivative (PID) and proportional-integral-proportional-derivative (PIPD) controllers, depends upon tuning of control parameters. In this study, we propose a novel tuning strategy for PID and PIPD controllers whose control parameters are tuned using the extended non-minimal state space model predictive functional control (ENMSSPFC) scheme based on the auto-regressive moving average (ARMA) model. The proposed control method is applied numerically in the operation of the MCFC process with the parameters of PID and PIPD controllers being optimized by ENMSSPFC based on the ARMA model for the MCFC process. Numerical simulations were carried out to assess the set-point tracking performance and disturbance rejection performance both for the perfect plant model, which represents the ideal case, and for the imperfect plant model, which is usual in practical applications. When there exists uncertainty in the plant model, the PIPD controller exhibits better overall control performance compared to the PID controller.     

基于二自由度PI控制器的吹塑机张力控制系统

吹塑机的张力控制系统是一个大时滞线性系统,实现其控制难度较大。针对张力控制系统的一阶积分时滞模型,提出一种改进的基于多主导极点配置方法的二自由度PI控制算法,假设存在正的、稳定的多主导极点,过程控制系统无振荡,并且非主导的极点和零点对控制过程无影响,为了提高伺服性能和降低超调量,在结构中设计了设定点滤波器。仿真案例实验结果表明,该方法在吹塑机张力控制中具有良好的追踪性能和扰动抑制性能。     

基于期望闭环系统响应的网络化串级控制系统PID整定

研究有常数网络诱导时延的一类典型网络化串级控制系统的PID控制器参数整定问题。系统中的网络诱导时延为常数,主对象和副对象均为一阶惯性加纯迟延环节(FOPDT)。主控制器是有超前滞后校正环节的PID,副控制器是带有滤波环节的PID。基于过程模型和期望闭环系统响应整定PID参数,采用一阶P偄de近似纯迟延环节,以解析的形式推导出了主控制器和副控制器整定参数的表达式,并采用双线性变换法得到离散时间PID控制器。提出了网络化串级控制系统的控制性能综合指标,并基于TrueTime工具箱在不同网络诱导时延时对网络化串级控制系统进行了仿真研究。仿真结果和性能指标计算结果均验证了所提算法的可行性和有效性。     

Development of gain scheduling for trajectory tracking problems in input-output linearizable batch processes

In this paper, a design methodology has been developed for the control of non-autonomous batch processes which typically require good tracking performance. The design, based on the framework of differential geometric methods and linear gain scheduling theory, involves a multi-loop structure. The inner loop is an input-output linearizing state feedback law based on a nominal, time-invariant plant model. The outer loop includes a gain scheduling controller which provides the desired stability and tracking performance in the face of time varying parameters. The procedure is applied to a semi-batch polymethylmethacrylate synthesis problem. The results show excellent tracking performance of the gain scheduling controller.     

Multi‐controller scheme for load rejection and set‐point tracking

To acheive complete compensation for loads, a novel multi‐controller scheme with feedforward control is proposed. This scheme has four controllers, a set‐point controller, two load controllers, and a feedforward controller. This results in the separation of the load response from the set‐point response in a closed‐loop system. These four controllers can then be designed independently to achieve good system performance for both set‐point tracking and load rejection. One of the load controllers can be chosen as a proportional controller; this guarantees physical realizability and provides excellent compensation. The results of simulation and real time control show that the proposed multi‐controller scheme is superior to a double‐controller system and a Smith predictor in the presence of large uncertainty in process dynamics especially for load disturbances.     

基于改进的PID算法控制的注塑机注射速度系统

注塑机的注射速度是影响塑料成品品质的一个重要因素,实现良好的注射速度控制难度较大。在现有文献研究的基础上,提出了一种改进的PID控制器。该控制器由常规PID控制器加一个设定点滤波器构成。利用注塑机注射速度系统的一阶积分时滞模型,进行了仿真实验,结果表明,改进的PID控制器具有良好的追踪性能和调节性能,并且鲁棒性较好,能够满足注塑机注射速度控制的需求。     

强制循环蒸发系统线性自抗扰解耦控制的鲁棒设计

针对强制循环蒸发系统液位与出料密度两个回路的非线性耦合问题,提出了一种基于粒子群算法的线性定常自抗扰解耦控制设计。首先通过引入虚拟控制量,将对象解耦配置为两个单输入单输出子系统,并对每个回路设计降维线性扩张状态观测器。随后,对观测器动态线性化得到的近似积分器环节进行比例控制。最后,在可能的大工况内通过粒子群算法优化控制增益耦合矩阵和比例增益。该算法使用观测器估计并补偿动态耦合部分,降低了控制器对数学模型的依赖程度;使用粒子群算法优化定常控制增益矩阵,避免了实时测量出料温度,降低了对传感测量的要求,提高了可靠性并降低了实施难度。数学仿真结果表明该算法能有效地消除液位回路和出料密度回路的耦合作用,在大工况内具有很强的鲁棒性。     

ROBUST ANALYSIS AND PID TUNING OF CASCADE CONTROL SYSTEMS

The robustness and performance of the cascade control system are analyzed in this article. A robustness measure is defined, and it is shown that it can reflect the interaction between the inner loop and the outer loop and has a clear indication of the robustness of each loop. The measure can serve as a graphic aid for tuning the cascade controller. Moreover, it is observed that the cascade controller can be tuned individually for each loop instead of sequentially.