一类基于反馈控制的不确定时滞系统的鲁棒稳定性

该文研究了一类带有不确定参数的线性时滞系统的鲁棒稳定性问题.利用Krasovskii定理,构造了lyapunov函数,获得了该系统渐近稳定的若干充分条件,最后给出了实例及其仿真,说明了该文结果的有效性.     

一类时滞递归神经网络的鲁棒稳定性

运用M-矩阵的性质、拓扑度理论、Liapunov泛函方法与不等式技巧,研究了一类时滞神经网络的全局鲁棒稳定性,给出了全局鲁棒稳定性的新的代数判据.     

一类具有时滞的不确定系统的鲁棒稳定性

本文利用Alekseev公式和Bellman－Gronuwall不等式,讨论了一类具有时滞的不确定中立型微分系统的鲁棒稳定性问题,给出了不确定系统在具有时滞的反馈控制下是渐近稳定的充分条件。     

具有多时滞的不确定系统的鲁棒稳定性

研究了一类具有状态时滞和输入时滞的不确定系统的鲁棒稳定问题,应用Krasovskii定理,得到了不确定时滞闭环系统的几个稳定性的充分条件,并且给出了实例及其仿真,经仿真研究表明,所得的结论是有效的.     

不确定时滞奇异系统的鲁棒稳定性条件

讨论不确定时滞奇异系统的鲁棒稳定性条件,通过选择适当Lyapunov泛函,得出不确定时滞奇异系统的鲁棒稳定性条件,降低了现有一些文献中鲁棒稳定性条件的保守性,最后用数值算例验证了结论的可行性和有效性。     

含时滞不确定线性系统的输出鲁棒镇定

研究了含时滞的不确定系统的输出反馈鲁棒镇定问题，该系统同时含有时变状态时滞和时变控制时滞，所构造的控制器增益矩阵包含在两个Hamiltonina矩阵中。所给镇定的充分条件易于检测，控制器有易于设计的特点。     

研析带有非线性时滞系统的鲁棒稳定性

文中针对一类同时具有非线性摄动和强结构不确定参数的时滞系统,利用线性矩阵不等式方法,研究其鲁棒稳定性问题．给出了有记忆状态反馈鲁棒稳定控制律存在的充分条件和具体设计方法,最后用Matalb软件进行实例仿真演示了该方法的有效性．     

一类时滞神经网络的鲁棒稳定性分析

针对一类含有时变时滞和参数不确定性的神经网络,研究了它的鲁棒稳定性．利用线性矩阵不等式（LMI）方法,得到一个新的时滞依赖的结论,结论以线性矩阵不等式的形式给出,便于直接应用．最后的数值例子说明了所得结论的有效性和优越性．     

一类非线性扰动不确定时滞系统的鲁棒镇定

主要讨论了一类非线性扰动不确定时滞系统的鲁棒镇定问题。先讨论无扰动的自由系统和有扰动的系统的稳定性问题,接着通过构造无记忆状态反馈控制器,给出了使闭环系统具有一定的鲁棒性的充分条件.     

一类时滞神经网络的全局鲁棒稳定性分析

利用矩阵Schur补的有关知识,通过构建李雅普诺夫函数,研究了一类时滞神经网络的平衡点的全局稳定性,得到了该类神经网络在平衡点全局鲁棒稳定的充分判据.     

Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay

For linear switched system with both parameter uncertainties and time delay,a delay-dependent sufficient condition for the existence of a new robust H∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm.Compared with the conventional state-feedback controller,the proposed controller can achieve better robust control performance since the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed synchronously with the dynamical characteristic of the system.This design method was also extended to the case where only delayed state is available for the controller.The example of balancing an inverted pendulum on a cart demonstrates the effectiveness and applicability of the proposed design methods.     

Delay-dependent robust control for uncertain discrete singular systems with time-varying delay

The design problem of delay-dependent robust control For uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent robust stability condition is derived and expressed in terms of linear matrix inequalities （LMIs）. A suitable robust state feedback control law is presented, which guarantees that the resultant closed-loop system is regular, causal and stable for all admissible uncertainties. Numerical examples are given to demonstrate the applicability of the proposed method.     

Bending behavior of double-row stabilizing piles with constructional time delay

The bending behavior of double-row stabilizing plies is associated with the constructional time delay (CTD), which can be defined as the time interval between the installations of the front stabilizing pile and the rear stabilizing pile. This paper investigates the effect of CTD on the bending moments of double-row stabilizing piles and a method for determining the optimal CTD is proposed. The stabilizing pile is modeled as a cantilever pile embedded in the Winkler elastic foundation. A triangular distributed earth pressure is assumed on the pile segment in the sliding layer. The front stabilizing pile and the rear stabilizing pile are connected by a beam with pinned joints. The analytical solutions of bending moments on the front and the rear stabilizing piles are derived and the accuracy of bending moment solutions is validated by comparing the tensile strain measured from the Hongyan landslide project, Taizhou, Zhejiang, China. It is concluded that CTD has a significant influence on the bending moments of double-row stabilizing piles. An optimal CTD can be obtained when the maximum tensile stress in the front stabilizing pile is equal to that in the rear stabilizing pile, which is 1.4 months for the Hongyan landslide project.     

一类不确定离散时滞系统的指数稳定

针对一类不确定离散时滞系统的指数稳定问题,利用改进的李亚普诺夫函数,以线性矩阵不等式形式给出了一个鲁棒指数稳定的充分条件．     

Sliding mode identifier for parameter uncertain nonlinear dynamic systems with nonlinear input

This paper presents a sliding mode (SM) based identifier to deal with the parameter identification problem for a class of parameter uncertain nonlinear dynamic systems with input nonlinearity. A sliding mode controller (SMC) is used to ensure the global reaching condition of the sliding mode for the nonlinear system; an identifier is designed to identify the uncertain parameter of the nonlinear system. A numerical example is studied to show the feasibility of the SM controller and the asymptotical convergence of the identifier. Project supported by the National Natural Science Foundation of China(No. 69974035) and Zhejiang Provincial Natural Science Key Foundation of China (ZD9905)     

Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain

Multi-objective robust state-feedback controller synthesis problems for linear discrete-time uncertain systems are addressed. Based on parameter-dependent Lyapunov functions, the Gl2 and GH2 norm expressed in terms of LMI （Linear Matrix Inequality） characterizations are further generalized to cope with the robust analysis for convex polytopic uncertain system. Robust state-feedback controller synthesis conditions are also derived for this class of uncertain systems. Using the above results, multi-objective state-feedback controller synthesis procedures which involve the LMI optimization technique are developed and less conservative than the existing one. An illustrative example verified the validity of the approach.     

时变不确定时滞系统的最优保成本控制

针对一类同时具有状态时滞和输入时滞的时变不确定连续时滞系统,研究了保成本状态反馈控制器的设计,假定其中的时变不确定性项是范数有界的,但不需要满足匹配条件,通过构造改造的Lyapunov函数和线性矩阵不等式(LMI)方法.给出了系统满足保性能指标的一个充分条件,仅通过求解一个相应的线性矩阵不等式,就可得到保性能控制器使得闭环系统的一个保成本函数对所有允许的不确定参数有上界.通过求解凸优化问题得到最优保性能控制器,最后用示例说明了该方法的有效性.     

Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain

Multi-objective robust state-feedback controller synthesis problems for linear discrete-time uncertain systems are addressed. Based on parameter-dependent Lyapunov functions, the Gl2 and GH2 norm expressed in terms of LMI (Linear Matrix Inequality) characterizations are further generalized to cope with the robust analysis for convex polytopic uncertain system.Robust state-feedback controller synthesis conditions are also derived for this class of uncertain systems. Using the above results,multi-objective state-feedback controller synthesis procedures which involve the LMI optimization technique are developed and less conservative than the existing one. An illustrative example verified the validity of the approach.     

Robust predictive control of uncertain intergrating linear systems with input constraints

This paper presents a two-stage robust model predictive control (RMPC) algorithm named as IRMPC for uncertain linear integrating plants described by a state-space model with input constraints. The global convergence of the resulted closed loop system is guaranteed under mild assumption. The simulation example shows its validity and better performance than conventional Min-Max RMPC strategies. Project supported by Education Bureau of Zhejiang Province (No. 20010539), China