不确定非线性时滞系统的鲁棒可靠控制

研究一类不确定非线性时滞系统的状态反馈鲁棒可靠控制问题。系统包含状态时滞、控制输入时滞、参数不确定性和未知的非线性扰动。目的是设计线性无记忆状态反馈控制器 ,使得对于任意容许的不确定性以及在一个预先指定的执行器子集合中执行器的失效 ,相应的闭环系统渐近稳定。最后给出一个数值例子验证了所给结果的有效性     

不确定关联时滞大系统鲁棒可靠控制设计方法

针对一类具有状态时滞和参数不确定性的不确定关联时滞大系统 ,提出了一种基于状态观测器的鲁棒可靠控制器设计方法。该方法通过求解一组线性矩阵不等式 (LMI) ,给出状态观测器和线性动态输出反馈控制器的设计方法。该控制器对于系统中任意容许的不确定性以及在每一个子系统中预先指定的执行器子集合执行器的失效 ,都可以镇定相应的闭环系统。通过仿真实验证明该设计方法的有效性。     

不确定离散时滞控制饱和系统L2增益分析设计

针对离散时间不确定含时滞和控制饱和系统的镇定和干扰抑制问题,提出了状态反馈和抗饱和动态输出反馈方法。该方法利用Lyapunov函数可获得时滞相关的线性矩阵不等式。线性矩阵不等式条件可保证不确定闭环系统的无干扰时鲁棒内稳定性和在某椭球内预先给定的有干扰时L2性能水平。通过把状态反馈增益视为一自由参数,利用所得到的优化问题给出了控制器设计的具体步骤,通过仿真算例证明该方法的有效性。     

不确定线性时滞系统时滞相关状态反馈鲁棒镇定

利用Lyapunov-Krasovskii泛函方法,基于积分不等式,讨论了不确定线性时变时滞系统时滞相关状态反馈鲁棒镇定问题。采用线性化处理技术将非线性矩阵不等式（nonlinear matrix inequality, NLMI）转化为线性矩阵不等式（linear matrix inequality, LMI）,获得的鲁棒镇定准则只有一个易于选择的待定参数,避免了参数选择不当带来的保守性,数值例子说明本文方法的有效性。     

凸多面体不确定随机时滞系统的非脆弱鲁棒镇定

针对具有凸多面体不确定性的随机时滞系统，讨论了非脆弱鲁棒指数镇定问题，其中非脆弱控制器中的不确定性采用的是凸多面体不确定描述。基于Lyapunov直接法，采用了与参数相关的Lyapunov krasovskii泛函，并结合自由权矩阵方法, 使得Lyapunov矩阵与系统矩阵分离，从而获得了系统的完全基于线性矩阵不等式的时滞相关非脆弱鲁棒镇定的充分条件。最后,用例子说明了结果的有效性。     

大型不确定前馈型系统的分散鲁棒镇定

研究了大型不确定前馈型系统的鲁棒分散镇定问题。因为系统具有前馈型结构,采用自下而上的迭代分析方法,同时注意运用互联非线性系统有界性和稳定性判据。将设计任务转化为镇定底层子系统和其他子系统的标称部分,并可以明确构造简单的饱和控制律。该方法利用系统的结构特性,不太依赖李雅普诺夫函数,也不需要通常的LMI技巧。仿真说明该方法的有效性。     

不确定多时滞系统的鲁棒H∞观测器设计

研究一类不确定性的多时滞系统基于观测器的鲁棒H∞控制问题.系统的不确定性参数是时变的,但其结构已知.通过构造观测器,并利用观测器状态进行反馈控制,使系统不仅鲁棒镇定,且具有一定的H∞性能.鲁棒H∞控制器的设计可通过求解两个线性矩阵不等式得到.     

执行器有故障时关联大系统的可靠H∞控制

针对一类具有常时滞、执行器故障和参数不确定性的关联大系统可靠H∞控制问题,提出了可靠H∞控制器的设计方法,其中参数不确定性满足匹配条件,而执行器故障采取比通常的离散故障模型更实际的连续增益故障模型。本文的目的是设计无记忆分散控制器镇定被控系统。利用线性矩阵不等式获得该控制器,使得系统在此控制器下无论是否发生故障都保持渐近稳定,并且具有一定的H∞性能指标。通过仿真的例子,验证该分散状态反馈控制器的可行性。     

不确定时滞系统的指数稳定保代价可靠控制

针对一类含有时变时滞的不确定参数系统,研究了在执行器发生故障情况下系统指数稳定保代价可靠控制器设计问题。系统的性能函数是含有指数项和故障输入项的积分二次型函数。经过适当的状态变换,将原系统的指数稳定保代价可靠控制问题转化为另一个等价系统的保代价可靠控制问题。根据Lyapunov稳定性理论,得到了系统存在指数稳定保代价可靠控制器应满足的一个矩阵不等式,进一步将这个矩阵不等式转化为线性矩阵不等式(LMI),并给出了系统的保代价表达式。利用论文方法设计的控制器能够使得时滞系统对于任意允许的不确定量以及执行器故障都保持鲁棒可靠指数稳定,并且使系统具有保代价的性能指标。仿真结果表明了该控制器设计方法的有效性。     

不确定关联系统时滞依赖输出反馈分散H∞控制

研究了一类具有时滞依赖的不确定关联系统输出反馈分散H∞控制问题,并且假定其中的不确定项是时变的和范教有界的.设计了分散输出反馈控制器,结合Lyapunov-Krasovskii泛函方法、时滞积分矩阵不等式技巧和变量替代法,导出了此类系统的时滞依赖分散H∞控制的线性矩阵不等式(LMI)充分条件.数值例子说明了提出方法的有效性.     

Robust H∞ reliable control for uncertain singular systems with state delay

The problem of robust and H∞ reliable control for a class of uncertain singular systems with state time-delay is concerned. The problem we address is to design a state feedback controller such that the resulting close-loop systems is regular, impulse free and stable for all admissible uncertainties as well as actuator faults among a prespecified subset. A linear matrix inequality (LMI) design approach is proposed to solve the problem addressed with H∞ norm bound constraint on disturbance attenuation. Finally, a numerical example is provided to demonstrate the application of the proposed method.     

Robust reliable guaranteed cost control for uncertain singular systems with time-delay

The robust reliable guaranteed cost control for uncertain singular delay systems with actuator failures and a given quadratic cost function is studied. The system under consideration involves constant time-delay and norm-bounded parameter uncertainties. The purpose is to design state feedback controllers which can tolerate actuator failure, such that the closed-loop system is stable, and the specified cost function has an upper bound for all admissible uncertainties. The sufficient conditions for the solvab...     

不确定非线性广义系统的鲁棒控制与保性能控制

研究了不确定非线性结构扰动的广义系统的鲁棒控制和保性能控制问题,该不确定性为时间、状态函数且满足Lipschitz条件的。目的是分别设计系统的鲁棒控制器和保性能控制器。应用线性矩阵不等式方法,分别给出了系统的鲁棒控制器和保性能控制器存在的充分条件;并在这些条件可解时,分别给出了鲁棒控制器和保性能控制器的表达式。最后用例子说明了所给方法的应用。     

Non-fragile guaranteed cost control for uncertain neutral large-scale interconnected systems

This paper focuses on the problem of non-fragile decentralized guaranteed cost control for uncertain neutral large-scale interconnected systems with time-varying delays in state, control input and interconnections. A novel scheme, viewing the interconnections with time-varying delays as effective information but not disturbances, is developed. Based on Lyapunov stability theory, using various techniques of decomposing and magnifying matrices, a design method of the non-fragile decentralized guaranteed cost controller for unperturbed neutral large-scale interconnected systems is proposed and the guaranteed cost is presented. The further results are derived for the uncertain case from the criterion of unperturbed neutral large-scale interconnected systems. Finally, an illustrative example shows that the results are significantly better than the existing results in the literatures.     

时变时滞不确定组合系统的可靠保性能鲁棒控制

针对一类孤立子系统中状态、控制输入及互联项均含有时变时滞的不确定组合系统,采用增益故障模型,提出了考虑执行器故障的可靠保性能控制问题。该执行器故障模型概括了执行器正常、执行器部分退化和执行器完全失效三种情况,系统的性能函数是带有故障输入项的积分二次函数。利用Lyapunov方法及线性矩阵不等式(LMI)方法,得到系统存在可靠保性能控制器的充分条件和控制器的设计方法,并给出了系统的可保性能表达式。最后,通过一个数值例子验证了所得结果的正确性。     

Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty

The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.     

Robust reliable guaranteed cost control for nonlinear singular stochastic systems with time delay

To study the design problem of robust reliable guaranteed cost controller for nonlinear singular stochastic systems,the Takagi-Sugeno(T-S)fuzzy model is used to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties and time delay.Based on the linear matrix inequality(LMI)techniques and stability theory of stochastic differential equations,a stochastic Lyapunov function method is adopted to design a state feedback fuzzy controller.The resulting closed-loop fuzzy system is robustly reliable stochastically stable,and the corresponding quadratic cost function is guarauteed to be no more than a certain upper bound for all admissible uncertainties,as well as different actuator fault cases.A sufficient condition of existence and design method of robust reliable guaranteed cost controller is presented.Finally,a numerical simulation is given to illustrate the effectiveness of the proposed method.     

不确定切换组合大系统的鲁棒分散控制

考虑了一类不确定切换组合大系统的鲁棒分散状态反馈镇定问题。利用单李雅普诺夫函数方法,得到了不确定切换组合大系统鲁棒可稳的充分条件。在互相关联的低维子系统的状态矩阵和控制输入矩阵同时带有未知、时变但有界的不确定性、各自的单个子系统均不能被镇定的情况下,基于凸组合技术和线性矩阵不等式方法,设计出分散状态反馈控制器及相应的分散切换策略,使得闭环系统渐近稳定。仿真结果表明所设计方法的正确有效性。