具有扰动的多时滞线性系统的鲁棒控制器

本文讨论了多时滞多扰动线性系统的鲁棒控制器设计问题，证明了在一定条件下时滞扰动系统能稳的充分条件为其标称系统二次型能稳，给出了按标称系统的给定稳定裕度设计系统鲁棒控制器的方法。     

多时滞奇异系统鲁棒稳定性分析

讨论了多时滞奇异系统的鲁棒稳定性问题．通过构造一种新的Lyapunov—Krasovskii泛函（LKF）,结合离散化LKF理论,给出了多时滞奇异系统正则、脉冲自由和渐近稳定的充分条件,并将该结论推广到含有范数有界不确定性的多时滞奇异系统．数值算例验证了该方法的有效性和可行性．     

不确定多时滞系统的鲁棒H∞控制

研究了一类不确定离散多时滞系统的鲁棒H∞控制问题。针对具有多状态时滞和不确定参数的离散系统,利用Lyapunov稳定性理论和线性矩阵不等式方法,设计无记忆鲁棒H∞状态反馈控制器,给出了状态反馈控制器的设计方法和闭环时滞系统渐近稳定且满足给定H∞性能指标的充分条件。最后,通过MATLAB仿真算例结果验证了该方法的有效性和可行性。     

T-S模糊离散多时滞系统的H∞控制

提出了一种新型非二次型Lyapunov函数, 在非并行分布补偿控制策略框架下, 研究了一类基于T-S模糊模型的离散多时滞系统的H∞控制. 通过引入一个矩阵变换, 所得控制律均以线性矩阵不等式的形式给出. 现有的并行分布补偿控制律可视作该新方法在某些条件下的特例. 仿真算例显示, 该函数方法保守性较低, 系统控制性能良好.     

一类单容纯时滞系统二次优化控制

本文研究受控对象为Ｇａ（ｐ）＝Ｋ／１＋Ｔｐｅ＾－ＬＰ和Ｇｂ（ｐ）＝Ｋ／ｐｅ＾－ＬＰ二次优化控制，给出一个经验公式。用以确定二次优化控制器的优化参数，可以节省了大量仿真寻优机量，结果表明，二次优化控制兼有Ｓｍｉｔｈ预估器全补偿纯时滞和状态反馈两类控制器的优点，性能指标好，鲁棒性强，尽管Ｇａ（ｐ）和Ｇｂ（Ｐ）两者结构不同，但它们二次优化系统性能指标相近，一阶模型无超调，二阶模型σ２％≤２％，三阶模型，     

具有非线性扰动多时滞系统的鲁棒故障检测

基于状态观测器的方法研究了一类具有非线性扰动的多重状态时滞系统的鲁棒故障检测问题，应用RBF神经网络逼近系统的非线性扰动，采用线性矩阵不等式(LMI)给出了与时滞上界相关的增益阵设计方法，并利用Lyapunov函数和一致有界引理证明了故障检测残差信号的一致有界稳定条件和对非线性扰动的鲁棒性，仿真示例说明了该方法的有效性。     

基于控制参数化的注塑工业过程最优反馈控制方法

本文针对一类典型的注塑工业过程系统, 研究了注塑填充过程中产生的熔体流动速度最优跟踪控制问题, 提出了一种基于控制参数化的计算最优反馈控制器设计方法以实现注塑过程中熔融聚合物流动前沿位移的最优跟 踪控制, 进而达到改善注塑零件性能的高效生产目标. 首先, 面向注塑工艺复杂生产过程建立了动态过程系统数学 模型, 提出了注塑机内部熔融聚合物流动前沿位置的动态最优跟踪控制问题; 其次, 设计了一种多级反馈控制律, 通 过控制参数化方法将控制反馈核进行了参数化表示, 将控制器设计问题转化为一序列最优参数决策问题; 然后, 通 过状态灵敏度方程分析方法, 求解出了目标函数及约束条件关于决策变量参数梯度信息的显式表达式, 并基于所提 供的梯度信息结合序列二次规划算法进行了高效优化迭代求解; 最后, 通过实验仿真验证了本文所提出的最优反 馈控制器设计方法的可行性和有效性.     

不确定多时滞系统的自适应控制

研究一类不满足匹配条件的不确定多时滞系统的自适应控制．基于时滞系统的一个新的稳定性定理,得到了时滞依赖充分性条件,并设计了自适应控制律,使得闭环系统以指定衰减度指数稳定．仿真算例验证了所提出控制策略的有效性．     

非相称多时滞奇异系统的有记忆状态反馈控制

针对一类非相称多时滞奇异系统, 研究其时滞相关稳定性问题. 给出了易于数值检验的时滞无关正则条件. 基于Lyapunov-Krasovskii泛函方法和广义积分引理给出了系统时滞相关稳定的充分条件. 本文的主要思想是利用矩阵不等式方法, 设计有记忆状态反馈控制器, 使相应的闭环系统时滞无关正则、无脉冲、渐进稳定, 并直接给出了有记忆状态反馈控制器参数化的表达形式. 最后通过数值仿真验证了所提方法的有效性.     

具有多时变时滞的单一和复合线性系统的时滞无关稳定性判据

针对单一和复合多时变时滞系统分别建立了稳定性的充分条件,结果的推导采用了拉什密辛（Ｒａｚｕ－ｍｉｋｈｉｎ）定理结合代数不等式的方法,同时,本文提出了一些优化稳定性判据中参数的方法,所建判据既不依赖于时滞的大小也不依赖时滞的导数,故既适用于时变时滞系统也适用于常时滞系统或无无时滞系统,最后,给出了一些例子所提方法的应用,并比较文献中存在的结果。     

含两类时滞的线性系统的故障诊断及故障可诊断性*

研究同时含有状态时滞和测量时滞的时滞系统的故障诊断方法及故障的可诊断性问题,提出一种同时对状态时滞和测量时滞进行变换的无时滞变换方法,并提出一种新的故障诊断器的构造方法,同时给出时滞系统的故障可诊断性的判据。首先通过提出一种同时对状态时滞和测量时滞进行转换的无时滞转换方法,将时滞系统转换成无时滞的系统;然后将故障诊断问题转换为状态观测问题,给出并证明了故障可诊断性的判据;最后通过构造一种不利用残差体现故障的新的故障诊断器,实现了故障的实时诊断并解决了故障诊断器的物理不可实现问题。仿真实例验证了该方法的可行     

Exponential stability of linear systems with commensurate time-delays

In this paper we consider a family of linear systems with commensurate time-delays. Each coefficient of the characteristic quasipolynomial and the delay is allowed to vary in prespecified intervals. The main result of the paper is a necessary and sufficient condition for stability of the family of quasipolynomials. This yields a computationally tractable numerical procedure which determines whether or not the family is exponentially stable.A. Leizarowitz was supported by the Technion V.P.R. Fund-Promotion of sponsored research-PBC.     

Discrete-time optimal control of systems with unilateral time-delays

Industrial plants which contain unilateral flow of material are considered. First, it is shown that such plants can be represented by finite-dimensional difference equations after sampling. Then, the design of discrete-time optimal control systems is studied based on the difference equations. The main difficulty in this design problem is the high dimensionality resulting from the discretization of long delays. In this paper, a new algorithm to solve the discrete Riccati equation for this class of systems is proposed. An example is given to illustrate how the computational difficulties are effectively reduced.     

Robust controllability of linear interval systems with multiple control delays

The robust controllability problem for linear interval systems with multiple control delays is studied in this article. The rank preservation problem is converted to the nonsingularity analysis problem of the minors of the matrix in discussion. Based on some essential properties of matrix measures, a new sufficient algebraically elegant criterion for the robust controllability of linear interval systems with multiple control delays is established. A numerical example is given to illustrate the application of the proposed sufficient algebraic criterion.     

Analysis of robust stability for switched systems with multiple time-delays

The sufficient conditions of delay-dependent exponential stability for switched systems and robust exponential stability for uncertain switched systems with two time-delays are presented by using average dwell time method and free-weighting matrix method.The interaction between different time-delays is considered.The sufficient conditions do not need that every subsystem is stable.The designed methods of the switching law are also given.The sufficient conditions are given in the form of linear matrix inequalities that can be solved easily.The result is proven to be valid by the simulation at last.     

Linear optimal control of systems with state and control variable delays

In this paper we announce a new rigorous ‘state space’ formulation for systems with delays in state and control variables. This is used to solve the linear-quadratic optimal control problem over both finite and infinite time horizons. In each case abstract operational Riccati equations are derived to characterize the feedback gains. This paper extends recent results of Vinter and Kwong.     

Robust approximation‐based adaptive control of multiple state delayed nonlinear systems with unmodeled dynamics

This paper addresses the problem of tracking control for a class of uncertain nonstrict‐feedback nonlinear systems subject to multiple state time‐varying delays and unmodeled dynamics. To overcome the design difficulty in system dynamical uncertainties, radial basis function neural networks are employed to approximate the black‐box functions. Novel continuous functions that deal with whole states uncertainties are introduced in each step of the adaptive backstepping to make the controller design feasible. The robust problem caused by unmodeled dynamics when constructing a stable controller is solved by employing an auxiliary signal to regulate its boundedness. A novel Lyapunov‐Krasovskii functional is developed to compensate for the delayed nonlinearity without requiring the priori knowledge of its upper bound functions. On the basis of the proposed robust adaptive neural controller, all the closed‐loop signals are semiglobal uniformly ultimately bounded with good tracking performance.     

A hybrid parameterization of linear single input single output systems

We obtain a parameterization of the set of finite dimensional linear dynamical systems of unbounded McMillan degree. In this parameterization a given system is represented in a nonunique way. However, a certain notion of order is available, thereby providing a graded parameterization. An important feature is that each graded space is diffeomorphic to a Euclidean space. In view of this fact we hope that many of the local results in identification (valid only if the parameter space is Euclidean) an actually be generalized globally. Moreover we show that the topology induced on the space of all plants by this space is finer than the graph topology.