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.     

基于支持向量机α阶逆系统方法的非线性内模控制

为了提高传统逆系统方法的鲁棒性和抗干扰能力, 提出了基于支持向量机α阶逆系统方法的非线性内模控制新方法. 该方法利用支持向量机辨识非线性系统的α阶逆模型, 并将其串连在原系统之前得到复合的伪线性系统. 对求得的伪线性系统采用内模控制方法进行控制. 仿真结果证明了该方法的有效性. 理论分析和仿真结果均表明, 该方法不依赖于系统的模型, 且较一般的逆系统方法鲁棒稳定性好, 设计简单, 跟踪精度高, 是解决非线性系统控制的一种可行的理论方法.     

基于α阶逆的大时滞非线性动态矩阵控制

针对一类大时滞非线性系统,提出了基于α阶逆的动态矩阵控制新方法.该方法采用BP神经网络辨识逼近原非线性系统的α阶逆系统,并与原系统串联复合组成伪线性系统;采用基于线性系统的动态矩阵预测控制方法设计系统附加控制器.在系统存在建模误差、存在扰动和模型参数发生较大变化等情况下,采用该控制方法依然具有很好的动、静态性能和很强的鲁棒性.给出了详细的设计原理和步骤,并通过大量的仿真分析与已有的大时滞非线性系统内模控制研究结果进行了比较:内模控制依赖于系统模型,当模型出现严重失配的情况下,系统性能变坏,而采用提出的方法则不依赖系统精确的数学模型,计算量小,简化了非线性系统的设计;研究与仿真结果证明了所提控制方法的有效性.     

基于神经网络模型的最小预测误差非线性自适应控制器

主要研究基于神经网络模型的最小预测误差非线性自适应控制算法.利用神经网 络激励函数的分段局部线性近似,将基于神经网络的非线性系统一步前向预测控制转化为一 系列局部的线性预测控制问题.利用线性系统参数估计方法获得神经网络预测模型的参数估 计.在此基础上利用并联线性系统的预测控制方法设计全局收敛的非线性系统预测控制器.     

并联混合有源滤波器逆系统解耦控制

针对并联混合有源滤波器(SHAPF)这一强耦合非线性系统的控制问题,提出了一种基于逆系统方法的SHAPF反馈线性化解耦控制策略.首先根据SHAPF非线性数学模型,采用逆系统方法生成其α阶积分逆系统,进而构造出解耦的伪线性系统,然后利用极点配置方法对伪线性系统进行综合,设计了系统的闭环控制器,并给出了系统零动态的镇定条件,保证了闭环控制系统的稳定性.最后仿真实验表明该控制策略能够有效消除电网中的谐波电流,并且与传统线性反馈-前馈控制策略相比,该控制策略具有更好的动静态性能.     

基于控制系统直接方法的非线性系统预见控制器设计

针对一类非线性离散时间系统给出最优预见控制器设计方法. 首先运用非线性控制系统直接控制方法的思想, 将非线性反馈部分作为形式输入, 使得系统成为“形式上”的线性系统; 然后, 针对该线性系统, 利用最优预见控制的基本方法设计最优预见控制器; 最后, 利用形式输入与实际输入的关系得到非线性离散时间系统的最优预见控制器. 证明了如果形式线性系统满足一定的可镇定和可检测条件, 则闭环系统是渐近稳定的. 数值仿真结果表明了控制器的有效性.

     

基于RBF模糊神经网络模型的广义预测控制

广义预测控制对线性系统具有较好的控制效果，为将它应用到非线性系统，本文提出一种将RBF模糊神经网络与广义预测控制相结合的方法，仿真证明控制有效。     

基于SVM逆系统的非线性系统广义预测控制

针对工业过程中普遍存在的非线性被控对象,提出了一种基于支持向量机（SVM）逆系统的广义预测控制算法。该方法根据广义预测控制基于预测模型的特点,将基于支持向量机系统辨识的方法应用于逆系统构建和广义预测控制。该方法利用SVM强大的非线性映射能力离线辨识被控非线性系统的α阶逆模型,并将辨识出的逆模型连接在原被控统之前形成一个α阶纯延时伪线性系统。然后采用广义预测控制（GPC）算法实现对构造出的伪线性系统的预测控制。仿真实验表明了该算法的有效性和优越性。     

静止无功发生器的微分几何变结构控制方法

根据静止无功发生器(SVG)数学模型的非线性特性,提出了微分几何变结构控制方法,运用微分几何精确线性化理论,把非线性系统转化成了一个线性系统,在此基础上应用非线性变结构控制理论进行设计控制器。结果表明,微分几何变结构控制方法对补偿SVG的无功电流具有有效性和可行性。     

一类饱和非线性系统抗饱和控制器设计

针对一类饱和非线性系统研究抗饱和控制器综合问题. 基于线性分式表示技术(LFR), 该类非线性系统可转化为带有满足扇形区间不等式条件的非线性函数及额外线性分式约束的饱和线性系统. 基于二次Lyapunov 方程并利用广义扇形区间不等式条件处理饱和非线性项, 提出了基于LMI 条件的非线性抗饱和控制器综合方法. 数值仿真验证了所提出方法的有效性.

     

一类仿射非线性网络控制系统的稳定性分析

利用采样数字控制系统的方法分析了一类混杂动态系统模型描述的仿射非线性网络控制系统的稳定性问题.针对一类仿射非线性对象和线性数字控制器组成的网络控制系统，考虑了网络诱导延时对系统稳定性的影响，得到了仿射非线性网络控制系统一致渐近稳定的条件．仿真实例验证了理论分析的正确性．     

Fast approximate identification of nonlinear systems

In this paper, a method is presented to extend the classical identification methods for linear systems towards nonlinear modelling of linear systems that suffer from nonlinear distortions. A well chosen, general nonlinear model structure is proposed that is identified in a two-step procedure. First, a best linear approximation is identified using the classical linear identification methods. In the second step, the nonlinear extensions are identified with a linear least-squares method. The proposed model not only includes Wiener and Hammerstein systems, it is also suitable to model nonlinear feedback systems. The stability of the nonlinear model can be easily verified. The method is illustrated on experimental data.     

An integrated state space partition and optimal control method of multi-model for nonlinear systems based on hybrid systems

Multilinear model approach turns out to be an ideal candidate for dealing with nonlinear systems control problem. However, how to identify the optimal active state subspace of each linear subsystem is an open problem due to that the closed-loop performance of nonlinear systems interacts with these subspaces ranges. In this paper, a new systematic method of integrated state space partition and optimal control of multi-model for nonlinear systems based on hybrid systems is initially proposed, which can deal with the state space partition and associated optimal control simultaneously and guarantee an overall performance of nonlinear systems consequently. The proposed method is based on the framework of hybrid systems which synthesizes the multilinear model, produced by nonlinear systems, in a unified criterion and poses a two-level structure. At the upper level, the active state subspace of each linear subsystem is determined under the optimal control index of a hybrid system over infinite horizon, which is executed off-line. At the low level, the optimal control is implemented online via solving the optimal control of hybrid system over finite horizon. The finite horizon optimal control problem is numerically computed by simultaneous method for speeding up computation. Meanwhile, the model mismatch produced by simultaneous method is avoided by using the strategy of receding-horizon. Simulations on CSTR (Continuous Stirred Tank Reactor) confirm that a superior performance can be obtained by using the presented method.     

Control of frictional dynamics of a one-dimensional particle array

Control of frictional forces is required in many applications of tribology. While the problem is approached by chemical means traditionally, a recent approach was proposed to control the system mechanically to tune frictional responses. We design feedback control laws for a one-dimensional particle array sliding on a surface subject to friction. The Frenkel-Kontorova model describing the dynamics is a nonlinear interconnected system and the accessible control elements are average quantities only. We prove local stability of equilibrium points of the un-controlled system in the presence of linear and nonlinear particle interactions, respectively. We then formulate a tracking control problem, whose control objective is for the average system to reach a designated targeted velocity using accessible elements. Sufficient stabilization conditions are explicitly derived for the closed-loop error systems using the Lyapunov theory based methods. Simulation results show satisfactory performances. The results can be applied to other physical systems whose dynamics is described by the Frenkel-Kontorova model.     

基于多信号源的神经模糊Hammerstein-Wiener模型研究

面对复杂工业过程控制的需求, 设计一种结合数据信息的特殊模型结构, 在保证控制系统有效性的前提下通过模型的结构来简化控制器的求解是亟待解决的问题. 为此, 本文提出一种基于多信号源的神经模糊Hammerstein-Wiener模型, 突破传统的迭代分离方法, 通过组合式多信号实现Hammerstein-Wiener模型中神经模糊非线性环节和线性环节的分离, 同时设计了神经模糊模型参数的非迭代优化算法, 将研究结果拓广到分段非线性系统,改善了模型的适用范围. 该算法保证了模型的预测精度,具有逼近较强非线性过程的能力. 在此基础上设计了基于神经模糊Hammerstein-Wiener模型的控制系统, 利用模型的特殊结构将非线性系统的控制问题简化为线性系统的控制问题, 采用简单的PID控制器便能达到较好的控制效果.仿真结果验证了上述方法的有效性.     

Nonlinear robust state feedback control system design for nonlinear uncertain systems

This paper presents a systematic approach to the design of a nonlinear robust dynamic state feedback controller for nonlinear uncertain systems using copies of the plant nonlinearities. The technique is based on the use of integral quadratic constraints and minimax linear quadratic regulator control, and uses a structured uncertainty representation. The approach combines a linear state feedback guaranteed cost controller and copies of the plant nonlinearities to form a robust nonlinear controller with a novel control architecture. A nonlinear state feedback controller is designed for a synchronous machine using the proposed method. The design provides improved stability and transient response in the presence of uncertainty and nonlinearity in the system and also provides a guaranteed bound on the cost function. An automatic voltage regulator to track reference terminal voltage is also provided by a state feedback equivalent robust nonlinear proportional integral controller. Copyright © 2016 John Wiley & Sons, Ltd.     

Nonlinear multivariable control of nuclear power plants based onthe unknown-but-bounded disturbance model

A nonlinear control system that is based entirely on the time-domain representation of dynamic systems is proposed for the control of a simplified pressurized-water-reactor (PWR) nuclear power plant model. The initial stage consists of designing several linear control systems using plant models linearized at preselected operating points. A set-theoretic algorithm is used that explicitly treats the control, control rate, and state constraints. The control objective is to design a system that uses only the available control, at the available rate, in the presence of an input disturbance, without violating the prespecified state constraints. The final stage of the design process uses the gain-scheduling technique to implement the linear control systems a global nonlinear control system. The final design is evaluated through transient response simulations using a simplified nonlinear model of a PWR-type nuclear power plant, with encouraging results     

Improved data-driven optimal TILC using time-varying input signals

A new improved data-driven optimal TILC (DDOTILC) is proposed for a class of nonlinear discrete-time systems by using time-varying control input signals to enhance control performance. An equivalent dynamical linear presentation is developed in the iteration domain for the repeatable nonlinear system, where the time-varying partial derivatives of the system with respect to the time-varying control inputs reflect the dynamical characters of the plant. Both the time-varying input signals and time-varying partial derivatives over the entire finite time interval are updated in batches, respectively. The proposed approach is a data-driven control scheme and only the boundedness of the partial derivatives is needed for control system design and analysis. Both rigorous mathematical analysis and the simulation results are provide to verify the applicability and effectiveness of the proposed approach further.     

Reliable nonlinear control system design using duplicated control elements

Reliable L₂ gain bounding (i.e., H_∞) controllers for nonlinear systems are designed by using redundant control elements. One sensor and one actuator are duplicated, and the resulting closed-loop system is reliable with respect to both the single contingency case and the primary contingency case. The design procedures for reliable controllers are developed by using the Hamilton–Jacobi inequalities from nonlinear H_∞ control theory. Linear reliable controller design methods are also obtained by restricting the proposed nonlinear methods to the linear case, and the linear methods are found to be less conservative than existing methods for linear reliable controller design. Examples are given to illustrate the design procedures for both linear and nonlinear reliable controllers and the advantages of the proposed linear method over existing ones. © 1997 by John Wiley & Sons, Ltd.     

Improved control using PFC and modified linear quadratic regulator for a kind of nonlinear systems

This paper describes the combination design of predictive functional control (PFC) and optimal linear quadratic (LQ) method for a kind of nonlinear process with output feedback coupling. In many existing control methods for this kind of nonlinear systems, the nonlinear part is either ignored or represented as a rough linear one when corresponding predictive control methods are designed. However, by assuming that the nonlinearity can be ignored or simplified to a linear time-varying part may not lead to the good control performance of subsequent linear control designs. The paper is a further investigation on this kind of systems, in which a procedure of PFC plus a modified optimal LQ control is developed. With respect to the proposed control strategy and the corresponding processes, the closed-loop performance is improved concerning tracking ability and disturbance rejection compared with previous predictive control methods. In addition, the proposed control is easy to implement as it selects a simple structure and a modification of the classical control scheme.