参数不确定时滞奇异系统的鲁棒H∞控制

研究一类不确定时滞奇异系统鲁棒H∞控制器的设计问题.首先,利用Lyapunov函数理论,给出系统渐近稳定及满足H∞性能指标γ的充分条件;其次,给出系统满足H∞性能指标γ的鲁棒控制器的设计方法.最后,通过数值算例验证该方法的可行性及有效性.     

时滞关联系统的鲁棒稳定性分析

本文考虑常时滞与变时滞的不确定关联大系统,针对具有矩阵多胞型结构不确定性情形,利用Lyapunov函数和LMI,得出了系统鲁棒稳定的时滞无关的判别条件。     

不确定时滞关联系统的鲁棒稳定性分析

针对具有强结构不确定性的时滞关联大系统,通过构造适当的Lyapunov函数,并利用M矩阵的性质,给出了系统时滞无关的鲁棒稳定充分条件。并通过一个算验证例了所得结果。     

不确定时滞系统的可靠跟踪控制

针对一类不确定时滞系统,基于Lyapunov函数的方法,研究了考虑执行器故障的可靠跟踪控制器的设计问题。状态反馈可靠跟踪控制器设计方法可以归结为求解一族线性矩阵不等式问题,从而得到了可靠跟踪控制器存在的充分条件。最后通过数值算例验证了文中所提设计方法的可行性。     

一类非线性切换系统的稳定性

本文研究一类子系统为非下三角结构的且有两个输入的非线性系统的切换系统控制器设计问题。基于多Lyapunov函数和Backstepping方法,提出一种状态反馈控制律及切换规则设计方法。     

具有时变不确定参数的线性时滞系统的鲁棒镇定

研究了具有时变不确定参数的线性时滞系统的鲁棒镇定问题．提出鲁棒稳定化控制器一种新的设计方法．现有的一些结果可以作为本文的一些特例得到．     

一类切换系统保成本控制器设计

对一类含有时变时滞的不确定切换系统,研究了保成本控制器的设计问题。基于Lyapunov稳定性理论,给出了保成本控制器存在的充分条件,并借助于线性矩阵不等式方法获得了控制器的参数化形式。进一步,将次优保成本控制器的设计问题转化为线性矩阵不等式约束下的凸优化问题。     

具多个平衡点的不确定混杂系统输出反馈鲁棒镇定

基于分段二次型Lyapunov函数，给出了具多个平衡点的不确定混杂系统混杂动态输出反馈鲁棒镇定控制器的设计方法，该控制器不仅包含连续动态行为，而且具有逻辑动态，仿真结果表明，本文的设计方法是有效可行的。     

不确定非线性切换系统的稳定性分析

研究了一类不确定非线性切换系统的稳定性。该系统在结构、输入通道都存在不确定性,利用李雅普诺夫函数方法,通过设计每个子系统的鲁棒控制器,使得该不确定非线性切换系统的状态在任意切换下是全局渐近稳定的,最后通过具体实例说明了该方法的有效性。     

液体运送时液面晃动的H_∞控制

在液体进行快速运送过程中,当系统参数具有不确定性及外界干扰时,为有效抑制液面的晃动,本文建立了液体运送时液面晃动的数学模型,针对系统模型的不确定性和外界干扰,设计H∞控制器,使其能有效抑制液面晃动。当系统参数变化时,控制效果保持基本一致,说明该H∞鲁棒控制器控制效果良好,且具有较强的鲁棒稳定性。     

Sampling and control of switched linear systems

In this paper, we address the sampling and control issues for switched linear systems. Under synchronous switching and piecewise constant control, a continuous-time switched system is naturally related to a discrete-time sampled-data system. We prove that, with almost any sampling rate, the controllable subspace will be preserved for a switched linear system. We also investigate the possibility of achieving controllability using regular switching mechanisms. We show that, to achieve controllability for a switched linear system, it is sufficient to use cyclic and synchronous switching paths and constant control laws.     

Robust adaptive tracking with an additional plant identifier for a class of nonlinear systems

In this paper, we develop two new model reference adaptive control (MRAC) schemes for a class of nonlinear dynamic systems that is robust with respect to an uncertain state (output) dependent nonlinear perturbations and/or external disturbances with unknown bounds. The design is based on a controller parametrization with an adaptive integral action. Two types of adaptive controllers are considered—the state feedback controller with a plant parameter identifier, and the output feedback controller with a linear observer.     

Robust dissipative control for internet-based switching systems

A class of hybrid multi-rate control models with time-delay and switching controllers are formulated based on combined remote control and local control strategies. The problem of robust dissipative control for this discrete system is investigated. An improved Lyapunov-Krasovskii functional is constructed and the subsequent analysis provides some new sufficient conditions in the form of LMIs for both nominal and uncertain representations. Several special cases of practical interests are derived. A numerical simulation example is given to illustrate the effectiveness of the theoretical result.     

线性时变系统变初始条件变期望轨迹的迭代学习控制

对于非严格重复线性时变连续系统,初始迭代条件和参考轨迹在一定带宽范围内都是迭代变化的.提出一种非严格的迭代学习方法来控制跟踪整流.通过该方法所获得的控制器,能保证闭环系统的所有信号是全局有界的,能够使超出初始时间间隔的输出跟踪误差收敛到一个小的残差集内,该残差集大小取决于输入矩阵的估测误差.尤其是当输入矩阵已知的情况下,能够让超出的初始时间间隔输出跟踪误差趋近于零.     

Robust adaptive sliding mode control for uncertain discrete-time systems with time delay

This paper focuses on robust adaptive sliding mode control for discrete-time state-delay systems with mismatched uncertainties and external disturbances. The uncertainties and disturbances are assumed to be norm-bounded but the bound is not necessarily known. Sufficient conditions for the existence of linear sliding surfaces are derived within the linear matrix inequalities (LMIs) framework by employing the free weighting matrices proposed in He et al. (2008) [3], by which the corresponding adaptive controller is also designed to guarantee the state variables to converge into a residual set of the origin by estimating the unknown upper bound of the uncertainties and disturbances. Also, simulation results are presented to illustrate the effectiveness of the control strategy.     

网络化控制系统随机时延的补偿研究

在网络化控制系统中引入离散隐马尔可夫模型,建立网络状态与控制器-执行器时延之间的概率模型.网络化控制系统被建模成一个马尔可夫跳变线性系统,并预测出当前采样周期内的控制器-执行器时延.使用该预测值设计一个状态反馈控制器,实现对控制器-执行器时延的补偿.对比仿真实验验证了所提方法的优越性.     

A PI controller configuration for robust control of a class of nonlinear systems

The PI control configuration for stabilization and signal tracking of nonlinear systems is investigated. Semiglobal asymptotic stability and semiglobal practical signal tracking of the controlled system are proven using results from the theory of nonlinear singularly perturbed systems.     

Numerical solutions of optimal control for linear time-varying systems with delays via hybrid functions

By applying hybrid functions of general block-pulse functions and Legendre polynomials, the linear-quadratic problem of linear time-varying systems with delays are transformed into the optimization problem of multivariate functions. The approximate solutions of the optimal control and state as well as the optimal value of the objective functional are derived. The numerical examples illustrate that the algorithms are valid.