不确定离散广义时滞系统的鲁棒H2控制

基于线性矩阵不等式法讨论了不确定离散广义时滞系统的鲁棒H2控制问题.目的是设计一个可容许的状态反馈控制律,对系统所有容许的不确定参数,使得闭环系统是容许的且满足所要求H2性能,即闭环系统的H2范数小于一个给定的正数γ.在分析的基础上,给出了该问题可解的一个矩阵不等式的充分条件及控制器的一个代数表达式.     

含有非线性扰动的时滞系统新的鲁棒稳定性准则

考虑了一类含有时变时滞和非线性扰动的线性系统的鲁棒稳定性问题.通过利用新的Lyapunov泛函和Jensen积分不等式,得到了保守性较小的鲁棒稳定性准则.数值例子表明所得结果改进了一些文献中的结果.     

二轴框架视线指向系统的凸优化反馈镇定

以一类偏航-俯仰二自由度框架结构为研究对象,探讨执行元件存在输出饱和的条件下此类不确定系统的最优镇定问题.在框架动力学模型的基础上,分析了基座角运动、结构耦合和惯性不平衡力矩等干扰因素对系统动力学特性的影响.针对干扰条件下执行元件非线性饱和导致的稳定性问题,基于线性矩阵不等式组的凸优化方法,得到了镇定系统的状态反馈矩阵的最优值,为设计稳定的导引头回路控制系统提供了理论依据.仿真结果表明,最优反馈控制器对该类系统中的结构不确定性、饱和非线性和外界干扰力矩等因素具有较强的鲁棒性.
     

时变不确定时滞系统的稳定性分析

为解决一类带有时变时滞不确定系统的鲁棒稳定性控制问题,通过细化不确定信息的结构,利用Lyapunov泛函方法,通过构造一种新的Lyapunov-Krasovskii泛函,给出了基于线性矩阵不等式的一种新的鲁棒稳定性判据。所得结论具有普遍性,所提方法不依赖于系统分解,适用于标准和非标准情形。     

Finite frequency H∞ filtering for uncertain discrete-time switched linear systems

This paper is concerned with the problem of robust H_∞ filtering for discrete-time switched linear systems with polytopic uncertainties in the finite frequency domain. Based on the generalized Kalman-Yakubovich-Popov (GKYP) iemma and switched parameter-depen-dent Lyapunov functions, a switched full-order filter is designed such that the corresponding filtering error system is asymptotically sta-ble and satisfies a prescribed finite frequency H_∞ performance index. Compared with the existing full frequency approaches, the proposed finite frequency one receives better results for the cases in which the frequency ranges of noises are known. A numerical exam-ple is given to illustrate the effectiveness of the proposed method.     

Hammerstein-Wiener非线性系统的模糊预测控制

针对输入和输出受约束的Hammerstein-Wiener型非线性系统,提出一种基于T-s模糊模型的非线性预测控制算法,并用Lyapunov函数分析系统稳定性.通过建立T-S模糊模型,将预测控制器设计中的非线性优化问题转化为相应的线性优化问题;通过离线设计状态反馈控制律,在线实施符合条件的反馈控制律,极大程度地提高了在...     

不确定随机时滞系统参数依赖鲁棒镇定

现有的一类具有凸多面体不确定随机时滞系统鲁棒镇定条件存在较大保守性,为此,研究了一类具有凸多面体不确定性随机时滞系统参数依赖鲁棒镇定问题.利用Lyapunov随机稳定理论和构造参数依赖的Lyapunov函数,以线性矩阵不等式(LMIs:Linear Matrix Inequalities)的形式给出一类具有凸多面体不确...     

不确定广义系统非脆弱混合H2/H∞优化控制

针对不确定广义系统非脆弱混合H 2/H∞优化控制问题,对控制器增益具有加法式摄动和乘法式摄动两种情形采用线性矩阵不等式方法研究其充分条件,并设计满足要求的鲁棒非脆弱混合H 2/H∞状态反馈控制器,使得闭合系统在满足H∞性能的前提下极小化H 2范数的上界.     

一类非线性广义系统的弹性稳定控制

利用Lyapunov稳定性理论,以线性矩阵不等式的形式给出系统弹性稳定的充分条件,通过求解此线性矩阵不等式便可得到相应控制器.     

Finite-time stability and stabilization of Markovian switching stochastic systems with impulsive effects

Many practical systems in physics,biology,engineering and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes.The problems of finite-time stability analysis are investigated for a class of Markovian switching stochastic systems,in which exist impulses at the switching instants.Multiple Lyapunov techniques are used to derive sufficient conditions for finite-time stochastic stability of the overall system.Furthermore,a state feedback controller,which stabilizes the closed loop systems in the finite-time sense,is then addressed.Moreover,the controller appears not only in the shift part but also in the diffusion part of the underlying stochastic subsystem.The results are reduced to feasibility problems involving linear matrix inequalities (LMIs).A numerical example is presented to illustrate the proposed methodology.