A hybrid model predictive control strategy for nonlinear plant-wide control

A plant-wide control strategy based on integrating linear model predictive control (LMPC) and nonlinear model predictive control (NMPC) is proposed. The hybrid method is applicable to plants that can be decomposed into approximately linear subsystems and highly nonlinear subsystems that interact via mass and energy flows. LMPC is applied to the linear subsystems and NMPC is applied to the nonlinear subsystems. A simple controller coordination strategy that counteracts interaction effects is proposed for the case of one linear subsystem and one nonlinear subsystem. A reactor/separator process with recycle is used to compare the hybrid method to conventional LMPC and NMPC techniques.     

互联非线性系统反馈主导控制设计方法及汽门开度控制应用

分析了电力系统非线性的数学性质,指出电力系统非线性是一种有界非线性.在此基础上,将反馈主导方法(feedback domination method,FDM)引入多机电力系统非线性控制.该方法与反馈线性化方法不同;反馈线性化方法是通过反馈将原非线性系统转化为线性系统,反馈主导方法则是通过反馈将原非线性系统转换为特定形式的非线性系统,该特定形式的非线性系统的动态由反馈引入的非线性部分主导.以多机系统非线性汽门控制问题为例,设计了反馈主导非线性汽门控制器,该控制器仅包含本地量测量,易于实现.数值仿真表明,多机系统反馈主导非线性汽门控制器可显著提高电力系统暂态稳定性.     

非线性系统的自组织模糊解耦控制

该文介绍自组织模糊控制理论在非线性多变量系统解耦控制中的应用。对某机动飞机采用自组织模糊控制理论进行了解耦控制律设计，并与一般非线性系统的解耦控制方法进行比较。仿真结果表明自组织模糊控制对解决强耦合非线性系统具有较好的控制作用，且不受系统模型、解耦阵是否可逆等数学理论条件的限制，具有较好的工程应用意义。     

Nonlinear system identification and control of chemical processes using fast orthogonal search

The use of the fast orthogonal search (FOS) method is presented for model estimation and control of nonlinear chemical processes. FOS provides a nonlinear approximation used in an inner-loop that allows for simpler linear control methods to be used as an outer-loop controller. It is a straightforward, simple-to-use method for linearization of systems based on orthogonal system identification. The control concept is derived from the method of inverse dynamic control (IDC). The novel combination of this with the FOS method of system identification results in a very efficient and effective method of control. The method is demonstrated and tested on two nonlinear chemical process control simulations and the results are shown to compare very favourably to published results on the same problems.     

基于支持向量机的非线性预测控制技术

探讨了利用支持向量机进行非线性系统辨识的方法,并将支持向量机模型应用到非线性预测控制,提出了基于支持向量机模型的非线性预测控制算法.对一个CSTR反应器的仿真表明,支持向量机在小样本情况下具有良好的非线性建模能力和泛化能力.基于支持向量机的预测控制具有很好的控制性能,为通用非线性控制提供了一种新的控制思路.􀁽     

基于非线性干扰观测器的不确定非线性系统鲁棒轨迹线性化控制

针对一类不确定非线性系统，基于轨迹线性化控制方法(TLC)及非线性干扰观测器技术(NDO)研究了一种新的非线性鲁棒控制策略．TLC是一种有效的非线性跟踪和解耦控制方法，但当系统中存在内部未建模动态和外界干扰时，当前TLC控制器性能将显著下降．本文利用NDO对系统中的不确定项进行估计，其输出与TLC控制律结合来对消不确定性的影响．最后通过一个数值仿真实例验证了本文提出的方法的有效性,仿真结果表明该鲁棒轨迹线性化控制方法具有很好的干扰衰减能力和鲁棒性能．     

An all-coefficient adaptive control method for a class of nonlinear time-varying systems

In this paper, the extension of the all-coefficient adaptive control method to nonlinear time-varying systems is studied. A novel discretizing method is first proposed to derive the discrete-time model for a class of nonlinear time-varying systems. The characteristics of the coefficients of the discrete-time model are derived by this method, based on which the all-coefficient adaptive control method is given for the class of nonlinear time-varying systems. Sufficient conditions on the closed-loop stability ...     

含有非线性不确定参数的电液系统滑模自适应控制

针对含有非线性不确定参数的电液控制系统, 提出了一种滑模自适应控制方法. 该控制方法主要是为了解决由于初始控制容积的不确定性而引起的, 非线性不确定参数自适应律设计的难题. 其主要特点为, 通过定义一个新型的特Lyapunov 函数, 进而构建系统的自适应控制器及参数自适应律, 并结合滑模控制方法及一种简单的鲁棒设计方法, 给出整个电液系统的滑模自适应控制器, 及所有不确定参数的自适应律. 试验结果表明, 采用该控制方法能够取得良好的性能, 尤其可以补偿非线性不确定参数对系统的影响.     

Coordination of Networked Nonlinear Multi-Agents Using a High-Order Fully Actuated Predictive Control Strategy

This paper is concerned with the coordinative control problem of networked nonlinear multi-agents (NNM) with communication delays. A high-order fully actuated (HOFA) model is introduced to describe the nonlinear multi-agents. Based on this model, a HOFA predictive coordination method is proposed to compensate for the communication delays actively and achieve simultaneous stability and consensus. This method largely simplifies the design of networked nonlinear multi-agents and makes the control performance be same for networked nonlinear multi-agents with and without communication delays. The analysis on the closed-loop systems derives the simultaneous stability and consensus criteria of networked nonlinear multi-agents using the HOFA predictive coordination method. With the presented way of designing HOFA predictive coordination controllers, a simulated example demonstrates the advantages of the proposed method.      

基于模糊模型的非线性通用模型控制

通用模型控制是一种有效的非线性控制方法,但该方法的应用条件是过程一阶微分模型必须要有显式解.为了克服这一局限性,提出一种基于模糊模型的通用模型控制策略,将非线性过程模型应用逆系统的方法在控制算法中直接嵌入过程模型,从而保证了通用模型控制策略的可实现性.该控制器参数物理意义明显,整定方便,仿真结果表明了该控制策略的有效性和鲁棒性.     

基于反步法的高超音速飞机纵向逆飞行控制

针对高超音速飞机纵向运动的数学模型具有严重非线性、不稳定、多变量耦合以及不确定的气动参数等特点，采用非线性动态逆控制与反步法相结合的方法为其设计飞行控制系统．该系统以非线性动态逆控制作为控制内环，通过将非线性的多输入多输出系统进行精确线性化，解除了多变量之间的强耦合关系；并以反步法作为控制外环．保证系统的全局稳定以及抑制不确定参数的扰动．仿真研究表明．所提出的控制方法可以确保高超音速飞机的纵向稳定性．改善其飞行品质．     

一种基于最速控制的二次积分系统的非线性控制方法

考虑到系统的鲁棒性和动态抗干扰能力,在二次积分系统最速控制的基础上,提出了一种二次积分系统的非线性控制分析、设计方法。理论分析和仿真表明,这种非线性控制具有很好的控制效果和鲁棒性;同时,通过对控制器形式的修正,对其他一些线性或非线性二阶系统也有比较广泛的适用性。     

电液伺服系统多项式非线性建模与控制一体化设计

常规电液伺服系统PID控制无法克服非线性因素影响,存在跟踪准确性和鲁棒性问题.因此,本文提出电液伺服系统多项式非线性H_∞控制律设计方法,改进电液伺服系统的控制性能与鲁棒性.首先利用多项式非线性模型对电液伺服系统进行系统辨识,得到以误差作为状态变量的多项式非线性模型;然后设计多项式非线性控制律,证明所提出控制律可以保证系统从干扰至控制输出L₂增益小于等于设定值,并且在系统干扰为零时保证误差全局渐进收敛,同时给出了控制律的求解方法.最后对提出的控制律进行实验验证.实验结果表明:相较于常规PID控制,多项式非线性控制律能够改善实验台伺服缸控制过程的瞬态响应,具有更好的抗干扰能力.本文提出的设计方法为非线性H_∞控制在电液伺服系统控制领域的实际应用提供了可行方案.     

Modeling and vibration control for a flexible pendulum inverted system based on a PDE observer

This study addresses the problem of trajectory control of a flexible pendulum inverted system on the basis of the partial differential equation (PDE) and ordinary differential equation (ODE) dynamic model. One of the key contributions of this study is that a new model is proposed to simplify the complex system. In addition, this study proposed a nonlinear PDE observer to estimate distributed positions and velocities along flexible pendulum. Singular perturbation method is proposed to solve the coupling system of nonlinear PDE observer. The nonlinear PDE observer is divided into a fast subsystem and a slow subsystem by the use of the singular perturbation method. To stabilise this fast subsystem, a boundary controller is proposed at the free end of the beam. The sliding-mode control method is proposed to design controller for slow subsystems. The asymptotic stability of both the proposed nonlinear PDE observer and controller is validated by theoretical analysis. The results are illustrated by simulation.     

基于神经网络的迭代优化预测控制

针对时变的非线性系统，提出一种基于神经网络的迭代优化预测控制。它将传统的预测控制策略与神经网络逼近任息非线性函数的能力结合，预测系统未来输出，然后用迭代学习方法优化预测控制器，即通过一阶泰勒展开的方法，把非线性优化问题转化为线性优化问题。不仅简化计算，同时避免用神经网络优化控制器时，由于调节参数过多、涮前速度慢而导致系统闭环稳定性和鲁棒性差的问题。仿真结果表明，该控制方案具有良好的控制品质，并适应对象参数的变化，具有较强的鲁棒性和自适应性。     

Receding horizon control via Bolza-type optimization

This paper deals with the stabilization problem of nonlinear control systems. A variant of the receding horizon control method is proposed which is based on the solution of a certain Bolza problem. The stabilizing property of the method is proved in the case of Lipschitz continuous value function. This version of receding horizon scheme can be considered as a straightforward generalization of the so-called Fake Riccati Equation Technique for nonlinear constrained systems.     

多输入非线性系统控制的分步变换与设计

研究多输入非线性系统基于分步变换及设计思想的非线性控制器设计问题。针对一般多输入非线性系统，首先利用非线性状态变换的方法进行非线性变换，得到一中间非线性系统模型，然后引入状态反馈，使得闭环系统为线性能控标准模型；从而利用分步设计的思想，实现非线性系统的最优控制。最后以－液位－温度控制系统为例，通过仿真说明该方法的有效性和可行性。     

Receding horizon control via Bolza-type optimization

This paper deals with the stabilization problem of nonlinear control systems. A variant of the receding horizon control method is proposed which is based on the solution of a certain Bolza problem. The stabilizing property of the method is proved in the case of Lipschitz continuous value function. This version of receding horizon scheme can be considered as a straightforward generalization of the so-called Fake Riccati Equation Technique for nonlinear constrained systems.     

基于神经网络的多变量非线性自适应解耦控制研究

提出神经网络前馈自适应解耦控制算法．该算法将多变量非线性系统在平衡点处利用Taylor公式展开．分为线性部分和高阶非线性部分。这样．将高阶非线性部分的影响视为可测干扰，采用前馈补偿的方法加以消除．就可以借助多变量线性系统的自适应解耦控制算法．实现多变量非线性系统的自适应解耦控制．这种方法可以取消被解耦系统为最小相位的限制。     

关于自动增益控制系统静态特性计算的一个注记

决定自动增益控制系统静态特性的是一组非线性方程.本文用切伯雪夫多项式对它进行 线性化,得以的静态特性更加准确.