非线性MIMO系统线性化解耦的一种新方法：连续时间系统

给出用神经网络（ＮＮ）α阶积分逆系统实现连续非线性ＭＩＭＯ系统线性化解耦的方法。ＮＮα阶积分逆系统由一个静态神经网络加若干积分器构成,将其串联在原系统之前,原系统则解耦成若干个相互无关的ＳＩＳＯ伪线性积分系统。理论分析与仿真结果表明,对于精确模型未知的较一般的非线性ＭＩＭＯ系统,所给出的方法均能实现有效的线性化解耦,且结构简单,易于工程实现。     

非线性MIMO系统线性化解耦的一种新方法(Ⅰ)——连续时间系统

给出用神经网络（ Ｎ Ｎ）α阶积分逆系统实现连续非线性 Ｍ Ｉ Ｍ Ｏ 系统线性化解耦的方法。 Ｎ Ｎα阶积分逆系统由一个静态神经网络加若干积分器构成,将其串联在原系统之前,原系统则解耦成若干个相互无关的 Ｓ Ｉ Ｓ Ｏ 伪线性积分系统。理论分析与仿真结果表明,对于精确模型未知的较一般的非线性 Ｍ Ｉ Ｍ Ｏ 系统,所给出的方法均能实现有效的线性化解耦,且结构简单,易于工程实现。     

非线性MIMO系统线性化解耦的一种新方法（Ⅱ）——离散时间系统

研究如何构造神经网络（ＮＮ）α阶时延逆系统,并将其用于ＭＩＭＯ强耦合非线性离散时间系统的线性化解耦、ＮＮα阶时延逆系统由单个静态神经网络和若干时延因子组成,将其与原系统复合可形成具有最小阶时延的伪线性解耦系统。该方法对被控系统数学模型的先验知识要求很少,不但能有效地实现对原系统的线性化解耦,且结构简单,易于工程实现。     

神经网络广义逆系统控制

提出适合于高阶非线性系统线性化解耦的广义逆系统.它与被控系统复合后,不但能实现原系统的线性化和解耦,而且通过合理地设计逆系统,可使伪线性复合系统的极点在复平面上任意配置.进一步提出由静态神经网络和若干积分惯性等线性环节组成的神经网络广义逆系统,为模型未知且内部状态不易测量的高阶非线性系统的线性化解耦控制提供一条有效途径,进一步拓展了神经网络逆系统控制方法的适用范围.     

基于逆系统方法的非线性内模控制

针对一类非线性连续系统,利用小波网络逼近原系统的α阶积分逆系统,针对复合后 的伪线性系统提出了基于逆系统方法的内模控制,证明了闭环系统的鲁棒稳定性,分析了系统 性能.仿真结果表明所提的方法控制性能好,精度高,且控制器设计简单.     

基于神经网络逆系统的无轴承异步电机非线性内模控制

针对无轴承异步电机非线性、多变量、强耦合的特点,提出一种基于神经网络 α阶逆系统方法的非线性内模控制策略.将用动态神经网络逼近的无轴承异步电机 α阶逆模型与原系统复合,将非线性的无轴承异步电机原系统解耦成转子径向位移、转 速和转子磁链四个独立的伪线性子系统.为了保证 系统的鲁棒性,对伪线性系统引入内模控制,仿真和实验研究验证了所提控制方法的有效性.     

神经网络广义逆系统控制

提出适合于高阶非线性系统线性化解耦的广义逆系统，它与被控系统复合后，不但能实现原系统的线性化和解耦，而且通过合理地设计逆系统，可使伪线性复合系统的极点在复平面上任意配置，进一步提出由静态神经网络和若干积分惯性等线性环节组成的神经网络广义逆系统，为模型未知且内部状态不易测量的高阶非线性系统的线性化解耦控制提供一条有效途径，进一步拓展了神经网络逆系统控制方法的适用范围。     

基于小波神经网络的板形板厚系统解耦预测控制

带材轧制是一个复杂的非线性过程, 板形控制和板厚控制又是强耦合、非线性、含时延环节的复杂系统. 提出了一种基于小波神经网络的解耦预测控制方案; 利用小波神经网络来辨识原系统的α阶时延逆系统, 将该逆系统与原系统串联后形成一个伪线性复合系统, 从而把多变量系统控制转化为多个单变量系统的控制实现了系统解耦, 并对解耦后的系统采用闭环预测控制. 仿真表明该控制方法具有结构简单、易于实现, 且有较强的抗扰性和鲁棒性.     

神经网络α阶逆系统在离散非线性系统控制中的应用

给出一般离散非线性系统的神经网络α阶逆系统(将α阶逆系统与原系统直接串联起来,构成一伪线性系统,具有α阶时延性质)的结构与辨识,并研究其在非线性系统控制中的直接应用。仿真结果表明该方法具有较普遍意义,且结构简单,易于实现。     

动物细胞悬浮培养过程神经网络逆解耦控制

动物细胞的悬浮培养以细胞增殖快、生产效率高等优势,成为动物细胞大规模培养的首选方式。而动物细胞悬浮培养过程是一个非线性、强耦合的多输入多输出系统,对一些生物参数(如细胞密度、基质浓度和产物浓度)的控制是提高整个生产水平的关键,应用神经网络逆系统方法对动物细胞悬浮培养过程进行线性化解耦控制,根据培养过程的特点,给出了相应的数学模型,并证明了系统的可逆性,利用神经网络的非线性逼近能力辨识出原系统的逆系统,然后串接在原系统前面构成伪线性复合系统,使动物细胞悬浮培养过程线性化解耦成三个子系统：一阶线性细胞密度子系统、一阶线性基质浓度子系统和一阶线性产物浓度子系统,最后设计模糊PID控制器对各解耦后的线性子系统进行控制,避免了传统PID控制器最优参数选取困难的问题。仿真结果表明,神经网络逆系统方法实现了对动物细胞悬浮培养过程的线性化解耦,系统对给定输入实现了高性能跟踪控制。     

基于多模型和SVM逆系统单元机组解耦控制

火力单元机组协调控制系统是一个多变量、强耦合的控制系统,具有非线性、耦合和延迟等特性,其性能直接影响单元机组运行的安全性和经济性.为了有效解决火力单元机组协调控制系统的耦合特性和动态非线性,设计了基于多模型和支持向量机(SVM)逆系统的解耦控制方法,并进行了相应实验研究.针对一个300 MW单元机组的试验仿真模型,得到单元机组在5个典型工作点的线性化模型,然后对每个线性化模型分别设计SVM逆模型及其动态PID控制器,进而用模型线性组合成多模型全局控制系统.通过加权多项式选取合成的多模型控制方法,可以解决负荷大范围变化引起的非线性问题;支持向量机与逆系统的结合能很好地解决非线性系统的强耦合问题.仿真研究证明了这种控制算法设计的有效性和优越性.     

Neural networks stabilization and disturbance attenuation for nonlinear switched impulsive systems

In this paper, we address the problem of neural networks (NNs) stabilization and disturbance rejection for a class of nonlinear switched impulsive systems. An adaptive NN feedback control scheme and an impulsive controller for output tracking error disturbance attenuation of nonlinear switched impulsive systems are given under all admissible switched strategy based on NN. The NN is used to compensate for the nonlinear uncertainties of switched impulsive systems, and the approximation error of NN is introduced to the adaptive law in order to improve the tracking attenuation quality of the switched impulsive systems. Impulsive controller is designed to attenuate effect of switching impulse. Under all admissible switching law, impulsive controller and adaptive NN feedback controller can guarantee asymptotic stability of tracking error and improve disturbance attenuation level of tracking error for the overall nonlinear switched impulsive system. Finally, a numerical example is given to demonstrate the effectiveness of the proposed control and stabilization methods.     

Online Adaptive Approximate Optimal Tracking Control with Simplified Dual Approximation Structure for Continuous-time Unknown Nonlinear Systems

This paper proposes an online adaptive approximate solution for the infinite-horizon optimal tracking control problem of continuous-time nonlinear systems with unknown dynamics. The requirement of the complete knowledge of system dynamics is avoided by employing an adaptive identifier in conjunction with a novel adaptive law, such that the estimated identifier weights converge to a small neighborhood of their ideal values. An adaptive steady-state controller is developed to maintain the desired tracking performance at the steady-state, and an adaptive optimal controller is designed to stabilize the tracking error dynamics in an optimal manner. For this purpose, a critic neural network (NN) is utilized to approximate the optimal value function of the Hamilton-Jacobi-Bellman (HJB) equation, which is used in the construction of the optimal controller. The learning of two NNs, i.e., the identifier NN and the critic NN, is continuous and simultaneous by means of a novel adaptive law design methodology based on the parameter estimation error. Stability of the whole system consisting of the identifier NN, the critic NN and the optimal tracking control is guaranteed using Lyapunov theory; convergence to a near-optimal control law is proved. Simulation results exemplify the effectiveness of the proposed method.      

Discrete-time neural network output feedback control of nonlinear discrete-time systems in non-strict form

An adaptive neural network (NN)-based output feedback controller is proposed to deliver a desired tracking performance for a class of discrete-time nonlinear systems, which are represented in non-strict feedback form. The NN backstepping approach is utilized to design the adaptive output feedback controller consisting of: (1) an NN observer to estimate the system states and (2) two NNs to generate the virtual and actual control inputs, respectively. The non-causal problem encountered during the control design is overcome by using a dynamic NN which is constructed through a feedforward NN with a novel weight tuning law. The separation principle is relaxed, persistency of excitation condition (PE) is not needed and certainty equivalence principle is not used. The uniformly ultimate boundedness (UUB) of the closed-loop tracking error, the state estimation errors and the NN weight estimates is demonstrated. Though the proposed work is applicable for second order nonlinear discrete-time systems expressed in non-strict feedback form, the proposed controller design can be easily extendable to an nth order nonlinear discrete-time system.     

Adaptive neural control and learning of affine nonlinear systems

This paper presents deterministic learning from adaptive neural network control of affine nonlinear systems with completely unknown system dynamics. Thanks to the learning capability of radial basis function, neural network (NN), stable adaptive NN controller is designed for the unknown affine nonlinear systems. The designed adaptive NN controller is rigorously shown that learning of the unknown closed-loop system dynamics can be achieved during the stable control process because partial persistent excitation condition of some internal signals in the closed-loop system is satisfied. Subsequently, neural learning controller using the knowledge obtained from deterministic learning is constructed to achieve closed-loop stability and improve control performance. Numerical simulation is provided to show the effectiveness of the proposed control scheme.     

基于多模型切换的智能主动容错控制方法研究

针对某些具有可能故障先验知识的非线性系统,采用主动容错控制方法,基于神经网络对系统正常及各种先验故障情形建模,并采用基于神经网络的PID控制方法离线整定出各种故障模式下的控制律,由此建立模型库;在系统实时运行时,依据系统性能容忍度指标和模型失配度指标的计算分析,判断系统所处运行模式,切换与该模式匹配的控制律,从而达到系统主动容错控制的目的.最后将所提出的主动容错控制方法应用于某一非线性系统和线性系统,仿真结果表明了方法的有效性.     

A decentralized control of interconnected systems using neural networks.

We develop a decentralized neural-network (NN) controller for a class of large-scale nonlinear systems with the high-order interconnections. The controller is a mixed NN comprised of a conventional NN and a special NN. The conventional NN is used to approximate the unknown nonlinearities in the subsystem, while a special NN is used to counter the high-order interconnections. We prove that this NN structure can achieve a stable controller for the large-scale systems.     

统一潮流控制器逆系统方法控制策略

统一潮流控制器在同步旋转dq坐标系下的数学模型, 反映出统一潮流控制器是一个强耦合的、非线性的系统. 为解决对这个强耦合、非线性系统直接设计控制器的困难, 采用逆系统方法, 将原系统线性化且解耦, 构造出一个伪线性系统. 然后, 运用变结构控制, 针对构造出的这个伪线性系统, 设计该系统的控制策略以实现对统一潮流控制器综合控制. 最后, 通过建立仿真试验模型进行仿真, 仿真的结果验证了文中提出的这种控制策略的可行性和有效性.     

输出多采样反馈控制器及系统稳定性

针对由连续被控对象和数字控制器构成的数字控制系统，将现有的线性系统输出多采样线性反馈数字控制器设计方法推广到非线性系统．并相应地研究了非线性输出多采样反馈控制器及摄动非线性系统．给出了这类非线性输出多采样数字控制系统及其摄动系统的稳定性和鲁棒性条件．