一种新型非线性Hammerstein系统动态矩阵控制算法

将动态矩阵控制策略(DMC)推广到由一个非线性静态多项式函数和一个线性动态阶跃响应环节组成的非线性Ham-merstein系统,详细地给出了该新型非线性Hammerstein系统动态矩阵控制算法(NLH-DMC).把NLH-DMC应用于一套强非线性pH中和过程,给定值跟踪和抗干扰仿真结果表明,NLH-DMC比线性DMC(LDMC)和过程控制领域常用的非线性PID(NL-PID)具有更好的控制性能.进一步的仿真实验证实,NLH-DMC不仅具有良好的控制响应,而且在存在较大模型误差时仍具有很好的稳定性及鲁棒性.  

基于多面体描述系统的鲁棒非线性预测控制

针对一类具有持续有界扰动的离散时间非线性系统, 提出一种基于多面体描述系统的鲁棒非线性模型预测控制策略. 首先利用泰勒级数构造多面体描述系统包裹原系统. 其次, 对该多面体描述系统构造鲁棒终端不变集和仿射输入型预测控制律. 进一步, 利用离散系统的输入状态实际稳定性(Input-to-state practical stability, ISpS)概念证明了闭环系统的鲁棒稳定性. 最后, 通过仿真验证了本结果的有效性.  

基于改进DE-NMPC的酸碱中和反应pH值控制

将一种改进的基于差分进化算法的非线性预测控制应用到酸碱中和反应pH值控制系统. 算法充分利用滴定曲线模型, 指导优化过程搜索的初始化空间. 同时, 在变异和选择等操作中改进了差分进化算法, 解决了一类有边界约束的非线性优化问题. 在发酵罐实验装置中进行了测试实验, 取得了较好的效果.  

Robust stability of nonlinear model predictive control based on extended Kalman filter

This work deals with state estimation and process control for nonlinear systems, especially when nonlinear model predictive control (NMPC) is integrated with extended Kalman filter (EKF) as the state estimator. In particular, we focus on the robust stability of NMPC and EKF in the presence of plant-model mismatch. The convergence property of the estimation error from the EKF in the presence of non-vanishing perturbations is established based on our previous work [1]. In addition, a so-called one way interaction is shown that the EKF error is not influenced by control action from the NMPC. Hence, the EKF analysis is still valid in the output-feedback NMPC framework, even though there is no separation principle for general nonlinear systems. With this result, we study the robust stability of the output-feedback NMPC under the impact of the estimation error. It turns out the output-feedback NMPC with EKF is Input-to-State practical Stable (ISpS). Finally, two offset-free strategies of output-feedback NMPC are presented and illustrated through a simulation example.  

A Wavelet Neural Network Based Non-linear Model Predictive Controller for a Multi-variable Coupled Tank System

In this paper, a novel real time non-linear model predictive controller(NMPC) for a multi-variable coupled tank system(CTS) is designed. CTSs are highly non-linear and can be found in many industrial process applications. The involvement of multi-input multi-output(MIMO) system makes the design of an effective controller a challenging task. MIMO systems have inherent couplings,interactions in-between the process input-output variables and generally have an complex internal structure. The aim of this paper is to design, simulate, and implement a novel real time constrained NMPC for a multi-variable CTS with the aid of intelligent system techniques. There are two major formidable challenges hindering the success of the implementation of a NMPC strategy in the MIMO case. The first is the difficulty of obtaining a good non-linear model by training a non-convex complex network to avoid being trapped in a local minimum solution. The second is the online real time optimisation(RTO) of the manipulated variable at every sampling time.A novel wavelet neural network(WNN) with high predicting precision and time-frequency localisation characteristic was selected for an MIMO model and a fast stochastic wavelet gradient algorithm was used for initial training of the network. Furthermore, a genetic algorithm was used to obtain the optimised parameters of the WNN as well as the RTO during the NMPC strategy. The proposed strategy performed well in both simulation and real time on an MIMO CTS. The results indicated that WNN provided better trajectory regulation with less mean-squared-error and average control energy compared to an artificial neural network. It is also shown that the WNN is more robust during abnormal operating conditions.  

Swing-up and stabilization of a Twin-Pendulum under state and control constraints by a fast NMPC scheme

In this paper, a real-time implementable Nonlinear Model Predictive Control scheme is proposed for the swing-up and the stabilization of a Twin-Pendulum system under control and state constraints. The basic feature lies in a particular parametrization of the set of candidate control profiles leading to a decision variable that may take only 3 admissible values. Simulations are proposed to assess the efficiency of the proposed feedback.  

Design of observer based nonlinear model predictive controller for a continuous stirred tank reactor

Model predictive control (MPC) schemes are now widely used in process industries for the control of key unit operations. Linear model predictive control (LMPC) schemes which make use of linear dynamic model for prediction, limit their applicability to a narrow range of operation (or) to systems which exhibit mildly nonlinear dynamics.

In this paper, a nonlinear observer based model predictive controller (NMPC) for nonlinear system has been proposed. An approach to design NMPC based on fuzzy Kalman filter (FKF) and augmented state fuzzy Kalman filter (ASFKF) has been presented. The efficacy of the proposed NMPC schemes have been demonstrated by conducting simulation studies on the continuous stirred tank reactor (CSTR). The analysis of the extensive dynamic simulation studies revealed that, the NMPC schemes formulated produces satisfactory performance for both servo and regulatory problems. Simulation results also include an inferential control case, where the reactor concentration is not measured but estimated from temperature measurement and used in the NMPC based on FKF and ASFKF formulations.  

一种双足机器人实时步态规划方法及相关数值算法

针对步行双足机器人实时步态规划问题，提出了一种改进的非线性模型预测控制（NMPC）方法．采用扩展的关节坐标，将单腿支撑相（SSP）和双腿支撑相（DSP）统一表示为一个非线性动力学模型．通过对SSP和DSP的3个阶段设定运动学和动力学虚拟约束，将复杂实时步态规划问题转化为4个以预测时域内控制量二次型为代价函数的NMPC问题．采用直接法将连续优化问题参数化为有限维优化问题，并采用惩罚函数法将状态变量约束转化为代价函数中的惩罚项，从而得到能够用渐进二次规划（SQP）求解的有限维静态优化问题．仿真结果表明，应用该方法对BIP机器人模型进行实时步态规划，实现了包含足部转动的动态步行，且机器人满足稳定性条件，不发生侧滑，从而证明了该方法的有效性和可实现性．  

一类非线性系统非切换解析模型预测控制方法研究

针对关系度不确定非线性系统, 基于模型预测控制理论和切换解析非线性模型预测控制(Nonlinear model predictive control, NMPC) 提出了一种非切换的解析NMPC新方法. 论证了在非切换解析NMPC控制律下, 通过坐标变换可以将闭环系统分别在关系度确定和不确定的两个子空间近似为线性系统, 得出非切换解析NMPC使闭环系统稳定的必要条件. 通过仿真实验验证了非切换解析NMPC可以达到很好的响应特性, 无需切换的特征也扩大了其应用范围.