Predictive functional control based on fuzzy model: magnetic suspension system case study

Fuzzy model based predictive functional controller (FPFC) is applied to the magnetic suspension system—a pilot plant for magnetic bearing. High quality control requirements are short settle time with a-periodical step response and zero steady-state error. Open loop unstable process was stabilised with linear lead compensator. The FPFC was used as a cascade controller. Due to some model uncertainties, the Takagi–Sugeno fuzzy model of stabilised system was obtained using fuzzy identification. Comparing to PID, it improved quality and robustness performance. With its computational efficiency, it proved to be ideal solution for high sampling frequency systems.     

Predictive functional control based on an adaptive fuzzy model of a hybrid semi-batch reactor

In this paper a new approach to the control of a nonlinear, time-varying process is proposed. It is based on a recursive version of the fuzzy identification method and predictive functional control. First, the recursive fuzzy identification method is derived, after which it is used in connection with fuzzy predictive functional control to construct an adaptive fuzzy predictive functional controller. The adaptive FPFC is then tested on a nonlinear, time-varying, semi-batch reactor process and compared with the standard FPFC, which uses non-adaptive fuzzy model. The simulation results are promising; they indicate that the control of time-varying, nonlinear processes with the FPFC can be improved with the use of an adaptive fuzzy model. An improvement in reference tracking and disturbance rejection can be observed, but the main advantage is the reduced number of switchings between hot and cold water. This is an important improvement in the case of real applications.     

电加热炉系统预测函数PID控制算法的研究

由于电加热炉系统具有大时滞、时变性、非线性等特点,提出了一种新型预测函数PID控制算法.该算法将PID控制算法和预测函数控制算法结合起来,通过预测被控对象的未来输出值,得到一个新的优化目标函数,实时优化控制参数,得到控制量的解析解.仿真结果表明,与常规PID控制和预测函数PID串级控制相比,所设计的控制器满足系统对快速性和稳态精度的要求,系统具有较强的抗干扰性和鲁棒性,能够实现对电加热炉系统的有效控制.     

Predictive Functional Control Based on Fuzzy Model: Design and Stability Study

In the paper the design methodology and stability analysis of parallel distributed fuzzy model based predictive control is presented. The idea is to design a control law for each rule of the fuzzy model and blend them together. The proposed control algorithm is developed in state space domain and is given in analytical form. The analytical form brings advantages in comparison with optimization based control schemes especially in the sence of realization in real-time. The stability analysis and design problems can be viewed as a linear matrix inequalities problem. This problem is solved by convex programming involving LMIs. In the paper a sufficient stability condition for parallel distributed fuzzy model-based predictive control is given. The problem is illustrated by an example on magnetic suspension system.     

预测函数控制的内模控制理论

内模控制是一种基于过程数学模型进行控制器设计的新型控制策略,是研究预测控制重要的理论基础。预测函数控制是一种控制量计算方程简单,实时控制效果好的新型预测控制算法。本文用内模控制理论研究预测函数控制,分析了系统的鲁棒性和稳定性,最后进行了参数设计和仿真研究。     

一种基于T-S模糊模型的自适应预测函数控制

针对离散时间非线性系统,提出了一种基于T-S模糊模型的自适应预测函数控制算法。该算法利用加权递推最小二乘法在线辨识T-S模糊模型后件参数,以克服模型失配对系统性能的影响。根据辨识得到的模型参数直接递推计算模型的预测输出,而不需要求解Diophantine方程,进而直接递推求解预测控制律,而不需要求解矩阵逆。仿真结果表明,该算法具有良好的跟踪性能和较强的鲁棒性。     

基于阶跃响应的模糊预测函数控制

针对开环稳定的非最小相位系统,在基于阶跃响应模型的预测函数控制算法的基础上,提出了通过使用模糊推理的方法对控制量进行补偿的解决方案,从而达到在减小系统反调的同时加快系统响应速度的目的.最后将该策略应用于两个较典型的非最小相位系统,通过使用S函数编写程序在计算机中进行仿真实验研究.仿真实验结果表明,该方法不仅进一步的抑制了系统的反调,同时也缩短了过渡时间,并且具有良好的动态性能和较强的鲁棒性.     

Fuzzy Predictive Functional Control in the State Space Domain

In the paper, a well-known predictive functional control strategy is extended to nonlinear processes. In our approach the predictive functional control is combined with a fuzzy model of the process and formulated in the state space domain. The prediction is based on a global linear model in the state space domain. The global linear model is obtained by the fuzzy model in Takagi–Sugeno form and actually represents a model with changeable parameters. A simulation of the system, which exhibits a strong nonlinear behaviour together with underdamped dynamics, has evaluated the proposed fuzzy predictive control. In the case of underdamped dynamics, the classical formulation of predictive functional control is no longer possible. That was the main reason to extend the algorithm into the state space domain. It has been shown that, in the case of nonlinear processes, the approach using the fuzzy predictive control gives very promising results.     

基于权重因子自校正的主蒸汽温度外挂广义预测串级控制

针对电厂目前普遍采用PI-PI串级控制器调节锅炉主蒸汽温度系统, 不能有效克服惯性、时滞和参数时变等问题的影响, 本文提出了一种理想GPC (Generalized predictive control)-PI串级控制器. 首先, 该理想串级控制器不仅能抑制一次和二次扰动, 而且外环GPC通过对主蒸汽温度的多步预测, 并结合滚动优化技术能有效克服主蒸汽温度系统的惯性和时滞问题. 另外, 针对主蒸汽温度系统参数时变的特性, 该理想控制器采用了T-S (Takagi-Sugeno)型模糊神经网络(Fuzzy neural network, FNN)作为主蒸汽温度模型, 该模型能够通过反馈校正技术实时更新模型参数. 同时, 为了改善主蒸汽温度系统动态响应品质和稳定性, 对外环GPC中的权重因子进行了模糊自校正设计, 通过理论分析和对比仿真验证了该理想GPC-PI串级控制器优于权重因子固定的GPC-PI和PI-PI串级控制器. 最后, 考虑到直接将电厂集散控制系统(Distributed control system, DCS)中的PI-PI串级控制器升级为理想GPC-PI串级控制器存在安全以及风险责任等问题, 故将电厂的传统PI-PI串级控制器升级成外挂的GPC-PI-PI串级控制器, 既改善了锅炉主蒸汽温度的控制效果又规避了风险责任, 实际应用验证了该方法的有效性.     

基于跟踪误差调节的非线性自适应模糊预测控制

将模糊逻辑系统引入预测控制,对一类非线性离散系统提出了直接自适应模糊预测控制的方法,此方法首先建立被控对象的预测模型;然后基于此模型直接利用模糊逻辑系统设计预测控制器,并基于跟踪误差对控制器参数中的未知向量进行自适应调整;最后证明了此方法可使跟踪误差收敛到原点的一个小邻域内。     

基于最优保留遗传算法的非线性模糊预测控制

针对传统的模型预测控制不能很好解决具有严重非线性、不确定性的对象或过程的控制问题，提出将模糊模型用于描述对象的非线性动态特性，通过将模糊模型的输出反馈作为模型输入，从而构成了模糊多步预测器。采用一种收敛精度高、速度快的具有最优保留特性遗传算法(EGA)，依据模型预测输出在线滚动求解控制律的非线性预测控制算法。仿真结果表明该算法对一类非线性系统具有较快的响应速度和较强的抗干扰能力。     

基于最优保留遗传算法的非线性模糊预测控制

针对传统的模型预测控制不能很好解决具有严重非线性、不确定性的对象或过程的控制问题。提出将模糊模型用于描述对象的非线性动态特性。通过将模糊模型的输出反馈回来作为模型输入，从而构成了模糊多步预测器，采用一种收敛精度高、速度快的具有最优保留特性遗传算法(EGA)依据模型预测输出在线滚动求解控制律的非线性预测控制算法。仿真结果表明该算法对一类非线性系统具有较快的响应速度和较强的抗干扰能力。     

卫星姿态直接自适应模糊预测控制

对具有模型不确定性和未知外干扰的卫星姿态系统提出了多输入多输出直接自适应模糊预测跟踪控制设计方法. 此方法先基于卫星姿态动力学模型设计出非线性广义预测控制律, 再构造直接自适应模糊控制器逼近预测控制律中因模型不确定性引起的未知项. 文中证明了所设计的控制律能使卫星跟踪给定的期望姿态轨迹, 跟踪误差收敛到原点的小邻域内. 仿真结果验证了此方法的有效性.     

Predictive functional control based on fuzzy T-S model for HVAC systems temperature control

In heating, ventilating and air-conditioning (HVAC) systems, there exist severe nonlinearity, time-varying nature, disturbances and uncertainties. A new predictive functional control based on Takagi-Sugeno (T-S) fuzzy model was proposed to control HVAC systems. The T-S fuzzy model of stabilized controlled process was obtained using the least squares method, then on the basis of global linear predictive model from T-S fuzzy model, the process was controlled by the predictive functional controller. Especially the feedback regulation part was developed to compensate uncertainties of fuzzy predictive model. Finally simulation test results in HVAC systems control applications showed that the proposed fuzzy model predictive functional control improves tracking effect and robustness. Compared with the conventional PID controller, this control strategy has the advantages of less overshoot and shorter setting time, etc.     

Predictive functional control based on fuzzy T-S model for HVAC systems temperature control

In heating, ventilating and air-conditioning （HVAC） systems, there exist severe nonlinearity, time-varying nature, disturbances and uncertainties. A new predictive functional control based on Takagi-Sugeno （T-S） fuzzy model was proposed to control HVAC systems. The T-S fuzzy model of stabilized controlled process was obtained using the least squares method, then on the basis of global linear predictive model from T-S fuzzy model, the process was controlled by the predictive functional controller. Especially the feedback regulation part was developed to compensate uncertainties of fuzzy predictive model. Finally simulation test results in HVAC systems control applications showed that the proposed fuzzy model predictive functional control improves tracking effect and robustness. Compared with the conventional PID controller, this control strategy has the advantages of less overshoot and shorter setting time, etc.     

一类未知非线性离散系统的直接自适应模糊预测控制

将自适应模糊逻辑系统引入预测控制,对一类未知非线性离散系统提出了直接自适应 模糊预测控制方法.首先对被控对象提出了线性时变子模型加非线性子模型的预测模型,然后直 接利用模糊逻辑系统设计预测控制器,并基于广义误差估计值对控制器参数和广义误差估计值中 的未知向量进行自适应调整.文中证明了此方法可使广义误差估计值收敛到原点的小邻域内.     

基于有序神经网络的神经模糊预测控制

本文使用有序神经网络和改进的模糊控制器构成了一种新型的神经模糊预测控制方法，有序网络学习速度快，所需神经数目少，用事先训练好的有序网络代替传统的预测模型，以期增强输出预测的准确性；同时，用一种改进的模糊控制器原有的PID控制器，增强系统的鲁棒性。仿真结果表明，所提出的神经模糊预测控制方法可以获得理想的控制效果。     

一种新的预测控制算法：模糊预测控制算法*

将模糊控制与预测控制相结合，提出了一种基于被控对象一般形式的时间离散模型的模糊预测控制算法，并对控制算法的有效性进行了分析，仿真研究结果表明，该模糊预测控制算法既适用于线性对象，也可用于非线性对象的控制。     

基于T-S模型的自适应模糊广义预测控制

对一类非线性系统,利用一种基于模糊规则的快速模糊辨识方法建立起系统的T—S模型,并基于该模型应用局部递推最小二乘方法根据采样值对模型参数进行在线修正,根据系统动态线性化模型采取广义预测控制策略,从而实现了基于T—S模糊模型的非线性系统自适应模糊预潮控制。与以往的模糊广义预测控制算法相比,此方法简单,而且较大地减少计算量,适合于在线控制。通过仿真研究验证所提方法的有效性。     

热轧带钢卷取温度的模糊神经网络预测函数控制

本文采用T S模糊神经网络建立了热连轧带钢卷取温度控制模型，并在该模型的基础上提出了一种在线计算量较小、计算速度较快的预测函数控制算法．应用该算法对热连轧带钢卷取温度的精冷区控制进行了仿真研究；结果表明，该控制器能够把带钢卷取温度控制在预定的范围内，控制精度能够满足生产要求．