一种新型神经网络广义逆系统

提出一种新型带有反馈环节的广义逆系统方法,并给出了其存在性的证明．该方法首先利用神经网络构造被控对象的α 阶逆系统,通过改变反馈环节参数可随时任意配置复合系统极点,无需重新构造广义逆系统．分别对ＳＩＳＯ 和ＭＩＭＯ 非线性系统进行仿真研究．仿真结果表明,在配置极点变换时,利用该方法构造的广义逆系统仍可对原系统实现有效的线性化和解耦．

     

广义系统极点配置的一种代数几何方法

利用代数几何方法给出了可任意配置极点的条件，并证明了实数域上广义系统若存在复反馈配置极点，则一定存在实反馈配置极点．     

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。     

一类不确定仿射非线性系统的动态输出反馈全局镇定

本文研究了有非匹配不确定性的ＳＩＳＯ及ＭＩＭＯ仿射非线性系统的动态输出反馈镇定问题，在要求标准系统为双曲极小相位及系统不确定部分满足一定条件下，构造出了输出反馈形式的动态补偿器，该动态补偿器使相应闭环系统在Ｌｙａｐｕｎｏｖ意义下全局这稳定、数值仿真结果令人满意。     

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。     

多输入的二阶广义分布参数系统的控制综合问题

广义分布参数系统具有广泛的实际背景.如复合材料中的温度分布,电缆中的信号传播,电磁耦合超导线路中的电压分布,飞行器姿态控制等问题研究中都会出现这样的系统.极点配置与反馈稳定性是这类系统研究的重要方面.本文应用泛函分析及算子理论讨论了Hilbert空间中多输入的二阶广义分布参数系统的极点配置与反馈稳定性问题,获得了这类系统极点可配置与可镇定的一些充分条件,并利用复分析、复级数、有界线性算子的广义逆等方法建立了反馈控制律的构造性表达式.本文结论不仅具有重要的实际意义,而且对广义分布参数系统的控制综合问题研究具有重要的理论价值.     

广义系统极点配置的一种代数几何方法

利用代数几何方法给出了可任意配置极点的条件,并证明了实数域上广义系统若存在复 反馈配置极点,则一定存在实反馈配置极点.     

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.     

多变量连续预测控制的动态补偿*

本文利用多变量系统的频域设计方法－特征结构分解，将多变量系统分解为一组独立的ＳＩＳＯ特征子系统，对各特征子系统，通过加权补偿，由极点配置保证闭环特征子系统稳定，进而保证原闭环系统渐近稳定。     

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.     

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。     

一种感应电机多模型解耦控制方法研究

提出一种基于新型广义逆系统的感应电机多模型解耦控制方法.通过对电机输入空间进行划分,利用神经网络辨识得到其广义逆系统模型,并针对每个子逆模型设计相应的控制器,使得闭环控制系统的传递函数实现任意的零极点配置.通过对电机输入空间的训练数据进行聚类,计算参考信号对每个类的相异度以实现模型之间的切换.仿真实验表明,该方法可对电机的转速和磁链实现有效的解耦控制,整个控制系统具有良好的鲁棒性.     

Iterative least-squares parameter estimation for ARMA pulse response and output disturbance

The parameters of an ARMA system and of additive ARMA output disturbance with mutually different poles were estimated from a record of the disturbed output on a single pulse input. Alternating the steps of iterative inverse filtering with iterations according to generalized least squares appeared very economical for this system. This procedure converged for second-order simulations. Statistics of the estimates were evaluated from these simulation results for two signal-to-noise ratios.     

An improved algorithm for optimal state regulation of generalized systems

The system considered is a generalized system E = Ax + Bu, Y = Cx with matrix E singular. When the impulsive modes of the system are both controllable and observable, it is shown in this paper that these modes can be eliminated by almost any constant output feedback. For a strongly controllable and observable generalized system, after its impulsive modes are eliminated, the poles of the system can be assigned arbitrarily by state feedback. Even if the states are not available, the paper adopts an efficient method to design a compensator for the system.     

Structural properties and poles assignability of LTI singular systems under output feedback

This paper studies the structural properties of both finite poles and the infinite pole of linear time-invariant singular systems under output feedback. Three main problems are studied, namely, (1) the algebraic structures of both finite poles and the infinite pole; (2) the assignability of finite poles and the elimination of the infinite pole by output feedback; and (3) the controllability and observability of the system with minimal number of inputs and outputs. New generic solutions to these problems are presented in terms of some new concepts defined in this paper including the geometric multiplicity of the infinite pole, the finite and impulsive output feedback cycle indices of the system. Determination of these multiplicities and indices are discussed. An assignability equivalence is established between the variable finite poles and the poles of a controllable and observable non-singular system. The number of the independent infinite poles that can be reduced is given in terms of the system matrices. The minimal number of inputs and outputs that guarantee controllability and observability are shown to be the output feedback cycle indices.     

Stabilization of linear systems with time‐varying input delay by event‐triggered delay independent truncated predictor feedback

This article deals with the problem of stabilization of linear systems with time‐varying input delay by an event‐triggered delay independent truncated predictor feedback law, either of the state feedback type or the output feedback type. Only the information of a delay bound rather than the delay itself is required in the design of both control laws and event‐triggering strategies. For both the state feedback case and the output feedback case, an admissible delay bound that guarantees the stabilizability of a general linear system is established, and the Zeno behavior is shown to be excluded. For linear systems with all open‐loop poles at the origin or in the open left‐half plane, stabilization can be achieved for a delay under an arbitrarily large bound.     

Output‐feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states

In this paper, the problems of stochastic disturbance attenuation and asymptotic stabilization via output feedback are investigated for a class of stochastic nonlinear systems with linearly bounded unmeasurable states. For the first problem, under the condition that the stochastic inverse dynamics are generalized stochastic input‐to‐state stable, a linear output‐feedback controller is explicitly constructed to make the closed‐loop system noise‐to‐state stable. For the second problem, under the conditions that the stochastic inverse dynamics are stochastic input‐to‐state stable and the intensity of noise is known to be a unit matrix, a linear output‐feedback controller is explicitly constructed to make the closed‐loop system globally asymptotically stable in probability. Using a feedback domination design method, we construct these two controllers in a unified way. Copyright © 2007 John Wiley & Sons, Ltd.     

线性系统的干扰解耦与抑制——基于特征结构配置的设计

本文利用线性系统的输出反馈特征结构配置结果,给出了利用输出反馈实现线性系统的干扰——输出解耦问题的充要条件和求解线性系统干扰抑制问题的一个有效算法,进一步推广了文中的结果。本文给出的方法即可把握闭环系统的特征结构,又可使闭环极点在一定的希望区域内参于优化,从而既较大程度地抑制了干扰的影响,又顾及了系统性能,且还适用于单输入或单输出系统。仿真算例证明了本文方法的有效性。     

Pole assignment for multi-input multi-output systems using output feedback

In this paper the problem of pole assignment using constant gain output feedback is studied for MIMO system with system order n > m + l − 1, where m and l are the number of inputs and outputs, respectively. A new procedure is presented to design a constant gain output feedback matrix which assigns (m + l − 2) poles exactly to the desired locations and shifts all the unassigned poles to suitable locations using root locus techniques.