非线性扰动离散广义时滞系统的鲁棒H∞控制

研究了扰动是满足Lipschitz条件的一类非线性离散广义时滞系统的鲁棒H_∞控制和鲁棒H_∞保性能控制问题。目的是设计系统的鲁棒H_∞控制器和鲁棒H_∞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H_∞控制器和鲁棒H_∞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H_∞控制器和鲁棒H_∞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。     

一类不确定非线性切换系统的鲁棒H∞控制

研究一类不确定非线性切换系统的鲁棒H∞控制问题.利用共同Lyapunov函数和凸组合技术,给出了由线性矩阵不等式表示的使闭环系统渐近稳定且满足鲁棒H∞性能的充分条件,设计了切换策略;最后给出了一个数值仿真实例表明结论的有效性.该结果对一类不确定线性切换系统的鲁棒H∞控制也成立.     

一类时滞线性参数变化系统的H∞控制

研究一类时滞线性参数变化(LPV)系统的H_∞控制问题,采用基于仿射参数的Lyapunov函数提出了稳定性能分析和控制器设计的充分条件.同时应用投影定理,借助附加矩阵解除了参数的Lyapunov函数矩阵与系统矩阵的耦合,得到以线性矩阵不等式(LMI)形式表示的条件.并且通过多凸技术把得到的无限维线性矩阵不等式转换为有限维线性矩阵不等式,从而使问题可以求解.数值仿真表明,性能得到满足同时也证明了方法的可行性.     

一类不确定时滞系统的鲁棒H∞控制

讨论了一类含有不确定参数的多时滞线性系统的鲁棒H∞ 控制问题 ,分别给出了全维鲁棒H∞ 动态输出反馈控制器和静态状态反馈控制器的设计。所设计的控制器使得相应的闭环系统对一切时滞和所有允许不确定参数保持内稳定 ,并且闭环系统从扰动到受控输出之间传递函数的 H∞ 范数不大于给定的指标值     

不确定离散时滞系统的鲁棒H∞滤波与仿真

研究了一类不确定离散时滞系统的鲁棒H∞滤波问题，其中不确定性存在于系统的状态矩阵和输入矩阵当中，且满足范数有界条件，对于所有容许的参数不确定性，构造一个线性滤波器，使得滤波误差系统渐近稳定且满足一定的H∞性能指标，给出了滤波器存在的充分条件，并通过矩阵变换得到了设计滤波器的LMI方法。 为了使得滤波器具有良好的稳态性能，本文考虑了LMI的优化问题。通过求解一组LMI，可以得到最优滤波器。最后，仿真结果很好地说明了本文方法的有效性。     

一类非线性不确定时滞系统的时滞相关鲁棒H∞控制

针对一类具有状态非线性不确定性的时滞系统,基于适当形式的Lyapunov泛函和Lyapunov稳定性理论,利用线性矩阵不等式(LMI)方法,讨论了时滞相关型鲁棒H∞状态反馈控制器设计问题.在非线性不确定性满足增益有界条件下,得到了该类时滞系统依赖于时滞的满足鲁棒H∞性能的一个充分条件,且控制器存在的充分条件由线性矩阵不等式组(LMIs)的形式给出,可以通过求解一个线性矩阵不等式组获得鲁棒H∞控制器.最后给出一个具体算例说明了该方法的有效性.     

不确定非线性系统的H∞鲁棒自适应控制

针对带有不确定性和外界扰动的非线性系统,讨论了鲁棒自适应干扰衰减控制器的设计方法。分别在系统是指数无源(当ω≡0,Δg≡0,u≡0时)和满足一定条件下,根据系统不确定性所满足的条件,提出了两种基于Lyapunov稳定性理论的非线性鲁棒控制器的设计方法,所获得的控制器使闭环系统满足H∞鲁棒扰动衰减性能准则。同时这种设计方法避免了Hamilton Jacobi不等式的求解问题,简化了控制器的求解过程,使所获得的控制器结构简单。     

基于LMI的滑翔式飞行器鲁棒H∞时滞控制

滑翔式飞行器是一类存在参数不确定性和外部扰动的非线性系统,研究了该类对象的鲁棒H_∞控制问题。采用对原系统方程部分线性化的方法,得到滑翔式飞行器的状态空间描述形式。在系统中的非线性部分满足Lipschitz条件约束下,考虑舵机特性等引起的时滞,利用Lyapunov稳定性理论,得到了系统鲁H_∞控制器存在的充分条件。通过求解线性矩阵不等式(linear matrix inequality, LMI)的可行解问题,得到H_∞控制器的参数化表达式。仿真结果表明,当存在参数不确定以及外部扰动时,系统能够保持较强的鲁棒稳定性,同时设计的控制器对干扰有较好的抑制作用。     

一类基于库存切换的供应链不确定模型及其鲁棒H_∞控制

建立一类新的具有参数和外部需求不确定的供应链库存切换系统模型,它包括三个生产库存子系统和一个库存信号切换向量.为了抑制供应链系统库存切换过程中产生的运作波动以及参数和外部需求不确定产生的牛鞭效应,应用鲁棒H∞控制方法给出了供应链切换系统的控制律.进行了控制律计算和系统仿真,结果验证了所设计的系统控制律的有效性.     

不确定线性描述系统的鲁棒H∞滤波器

研究了一类含有参数不确定性和未知扰动的线性描述系统的鲁棒H_∞滤波器设计问题。在容许、可观测的假设下,基于描述系统的有界实引理给出了鲁棒H_∞滤波器存在的充分条件。将滤波器存在条件转化为线性矩阵不等式的形式,可以利用线性矩阵不等式方法求解。推导了滤波器参数的等效形式,简化了滤波器系数矩阵的计算过程。最后,通过数值算例说明了所提出的方法的性能。     

Delay-dependent state feedback robust stabilization for uncertain singular time-delay systems

The problem of robust stabilization for uncertain singular time-delay systems is studied.First,a new delay-dependent asymptotic stability criteria for normal singular time-delay systems is given,which is less conservative.Using this result,the problem of state feedback robust stabilization for uncertain singular time-delay systems is discussed.Finally,two examples are given to illustrate the effectiveness of the results.     

Semi-global stabilization via homogeneous output feedback for a class of nonlinear time-delay systems

The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous domination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the scaling gain is adjusted such that the closed-loop system is semi-global asymptotically stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.     

Delay-dependent robust passivity control for uncertain time-delay systems

The robust passivity control problem is addressed for a class of uncertain delayed systems with time-varying delay. The parameter uncertainties are norm-bounded. First, the delay-dependent stability sufficient condition is obtained for the nominal system, and then, based-on the former, the delay-dependent robust passivity criteria is provided and the corresponding controller is designed in terms of linear matrix inequalities. Finally, a numerical example is given to demonstrate the validity of the proposed approach.     

一类不确定时滞系统的滑模控制

考虑了一类同时存在状态不确定性和控制不确定性的时滞系统的滑模控制问题,通过采用李亚普诺夫方法和线性矩阵不等式(LMI)技术,给出了闭环系统渐近稳定的充分条件,而且滑模控制律和滑模面的设计可以利用线性矩阵不等式的解得到,证明了该滑模控制律能保证状态轨迹被驱动到指定的切换面上。仿真实验表明了算法的有效性。     

State feedback stabilization for a class of nonlinear time-delay systems via dynamic linear controllers

The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay. First, using the dynamic change of coordinates, the problem of global state feedback stabilization is solved for a class of time-delay systems under a type of nonhomogeneous growth conditions. With the aid of an appropriate Lyapunov-Krasovskii functional and the adaptive strategy used in coordinates, the closed-loop system can be globally asymptotically stabilized by the dynamic linear state feedback controller. The growth condition in perturbations are more general than that in the existing results. The correctness of the theoretical results are illustrated with an academic simulation example.     

STABILITY CRITERIA FOR A CLASS OF UNCERTAINSYSTEMS WITH TIME—DELAY

Some stability criteria are obtained for a class of uncertain systems with time-delay usingLyapunov functional and analytic techniques. It is easy to check the criteria by making use of theboundedness of the uncertainties.     

Resilient predictive control for a class of uncertain time-delay systems

In practice, gain perturbations of controllers which are caused by actuator degradation and other reasons often lead to performance degradation. They are capable of violating the closed-loop stability. For a system with constrained inputs, the actual controllers might exceed their limits because of gain perturbations. By the reason, this article considers the problem of resilient predictive control for a class of uncertain time-delay systems. By describing the gain perturbation as a time-varying uncertainty, the sufficient conditions to ensure the closedloop stability and the input constraints are derived. Additionally, an approach to design the resilient predictive controllers is presented in terms of LMI. Finally, the simulation shows that the proposed approach is very effective.     

Output feedback based adaptive robust fault-tolerant control for a class of uncertain nonlinear systems

An adaptive robust approach for actuator fault-tolerant control of a class of uncertain nonlinear systems is proposed. The two chief ways in which the system performance can degrade following an actuator-fault are undesirable transients and unacceptably large steady-state tracking errors. Adaptive control based schemes can achieve good final tracking accuracy in spite of change in system parameters following an actuator fault, and robust control based designs can achieve guaranteed transient response. However, neither adaptive control nor robust control based fault-tolerant designs can address both the issues associated with actuator faults. In the present work, an adaptive robust fault-tolerant control scheme is claimed to solve both the problems, as it seamlessly integrates adaptive and robust control design techniques. Comparative simulation studies are performed using a nonlinear hypersonic aircraft model to show the effectiveness of the proposed scheme over a robust adaptive control based faulttolerant scheme.