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1.
在基于目标函数线性化的序列线性规划矩阵方法(SLPMM)的框架下,研究了线性时不变系统静态 输出反馈(SOF)H¥ 控制问题的数值解法,提出了一种改进的SLPMM 算法:通过求解一个LMI 特征值问题得到 SLPMM 算法的初始解,减少了运算的迭代次数,并同时给出了对H¥ 范数的一个初始估计.文中给出了基于该算法 的静态输出反馈H¥ 控制问题的详细求解步骤,最后用一个飞机纵向控制器的设计实例说明算法的有效性.  相似文献   

2.
基于静态输出反馈研究了不确定连续系统线性二次型(LQ)次优控制问题,应用线性矩阵不等式(LMI)给出了问题可解的充分条件,设计出了输出反馈控制器,保证了闭环系统的稳定。最后给出了仿数值算例说明该方法的有效性。  相似文献   

3.
基于部分状态信息的控制器是一类特殊的静态输出反馈控制器,一般难以利用线性矩阵不等式工具求解.本文研究离散T-S模糊系统的部分状态反馈镇定及部分状态反馈H∞控制问题.通过引入松弛变量,将离散T-S模糊系统的部分状态反馈镇定问题转换成求解一组线性矩阵不等式(LMI),并给出基于LMI的部分状态反馈H∞控制器设计方法.通过数值算例验证了所给方法的有效性.  相似文献   

4.
基于Lyapunov稳定性定律、线性矩阵不等式(LMI)技术和故障处理法等有关理论,研究了线性系统满足保性能指标的静态输出反馈可靠控制问题。首先,在不考虑执行器故障时,设计一个静态输出反馈保性能标准控制器,当执行器产生故障时,相同系统在同一控制器下,系统出现不稳定。然后,针对上述故障模型,重新设计一个静态输出反馈可靠控制器,使系统在执行器正常和发生故障时均能保持稳定,并且满足原有的保性能指标。最后,对线性化的无人机爬升阶段运动系统进行仿真,绘制系统的状态响应曲线,证明了设计方法是切实可行的。  相似文献   

5.
主要对一类范数有界参数的分数阶线性控制系统,研究了使闭环系统全局渐进稳定的静态输出反馈控制器的设计问题。以线性矩阵不等式(LMI)的形式,证明了上述不确定系统的全局渐进稳定问题,等价于求一个线性矩阵不等式的可行解问题,并且利用该线性矩阵不等式的可行解,构造出了上述系统输出反馈控制器。  相似文献   

6.
研究一类T-S模糊系统的动态输出反馈耗散控制问题.给出了保证该系统耗散的动态输出反馈控制器的设计方法.动态输出反馈耗散控制器可通过求解一组线性矩阵不等式(LMI)获得.最后通过仿真例子说明了所提出的设计方法的有效性.  相似文献   

7.
基于BMI方法的扇形极点配置输出反馈控制   总被引:3,自引:0,他引:3  
王远钢 《自动化学报》2008,34(9):1192-1195
研究一类线性系统在有界静态输出反馈下的区域极点配置问题, 给出了问题可解的双线性矩阵不等式(Bilinear matrix inequality, BMI)条件. 利用摄动线性化方法给出了求解期望输出反馈的迭代线性矩阵不等式(Linear matrix inequality, LMI)算法, 并用算例说明了所提算法的有效性.  相似文献   

8.
不确定性时滞大系统的分散鲁棒跟踪控制器设计   总被引:1,自引:0,他引:1  
研究不确定性关联时滞大系统的分散鲁棒输出跟踪控制问题,系统中不确定项具有数值界,可满足匹配条件,基于不确定项的表达形式,给出了存在分散分散鲁棒跟踪控制器的线性矩阵不等式(LMI)条件,在此基础上,通过建立求解受LMIs约束的凸优化问题,提出了具有较小反馈增益LMI设计方法,使受控系统渐近跟踪给定的参考输入,LMI方法求解简单,便于计算。  相似文献   

9.
李丽  卢延荣  于晓 《控制与决策》2021,36(9):2074-2084
基于参数依赖的Lyapunov函数方法及LMI技巧,研究一类参数不确定离散时间系统的有限时间输出反馈预见控制问题.首先,采用预见控制理论中误差系统的方法,引入差分算子和离散提升技术,构造出包含未来目标值信号和干扰信号的信息的扩大误差系统,将有限时间预见控制问题转化为扩大误差系统的有限时间稳定性问题;然后,针对所推导出的扩大误差系统设计输出反馈预见控制器,通过改造输出方程以充分利用可预见信号的未来信息,并通过LMI技巧给出闭环系统有限时间稳定的条件及预见控制器的设计方法.研究结果表明,通过求解LMI,可确定静态输出反馈预见控制器增益矩阵.数值仿真表明了所提出方法的有效性.  相似文献   

10.
针对一类满足匹配条件的不确定性关联时滞系统,导出了分散鲁棒输出跟踪控制器存在的充分条件。基于不确定项的表达形式,给出了存在分散鲁棒跟踪控制器的线性矩阵不等式(LMI)条件。通过建立求解受LMIs约束的凸优化问题,提出了具有较小反馈增益LMI设计方法,使受控系统渐近跟踪给定的参考输入。仿真示例说明了该方法的应用。  相似文献   

11.
基于LMI方法的离散分段线性系统静态输出反馈控制   总被引:1,自引:0,他引:1  
研究了离散分段线性系统静态输出反馈控制问题. 基于分段二次李亚普诺夫函数, 给出了静态输出反馈镇定控制器综合的新的充分的线性矩阵不等式条件. 同时, 通过使用Finsler引理, 引入一组具有特殊结构的松弛变量以减少设计保守性. 与以后方法相比, 所提出的方法具有好的性能, 并且在已有方法失效的情况下仍可用. 文中还将此方法推广到H无穷控制. 最后给出三个例子说明方法的有效性.  相似文献   

12.

This paper studies the robust static output feedback (SOF) problem considering pole placement constraints for linear systems with polytopic uncertainty as well as linear parameter varying (LPV) systems. New linear matrix inequality (LMI) approaches are proposed for the SOF controller design while the pole placement, H2, and H constraints are guaranteed. In addition, the gain-scheduled SOF controller will be designed for LPV systems if system parameters are measured. The proposed methods can be applied to general linear systems without imposing any constraints on system matrices. The performance and effectiveness of the proposed methods are shown using two examples.

  相似文献   

13.
《Automatica》2014,50(11):2787-2798
This paper addresses the problem of feedback control design for a class of linear cascaded ordinary differential equation (ODE)–partial differential equation (PDE) systems via a boundary interconnection, where the ODE system is linear time-invariant and the PDE system is described by an Euler–Bernoulli beam (EBB) equation with variable coefficients. The objective of this paper is to design a static output feedback (SOF) controller via EBB boundary and ODE measurements such that the resulting closed-loop cascaded system is exponentially stable. The Lyapunov’s direct method is employed to derive the stabilization condition for the cascaded ODE–beam system, which is provided in terms of a set of bilinear matrix inequalities (BMIs). Furthermore, in order to compute the gain matrices of SOF controllers, a two-step procedure is presented to solve the BMI feasibility problem via the existing linear matrix inequality (LMI) optimization techniques. Finally, the numerical simulation is given to illustrate the effectiveness of the proposed design method.  相似文献   

14.
This paper investigates the H static output feedback (SOF) control problem for switched linear system under arbitrary switching, where the actuator failure models are considered to depend on switching signal. An active reliable control scheme is developed by combination of linear matrix inequality (LMI) method and adaptive mechanism. First, by exploiting variable substitution and Finsler's lemma, new LMI conditions are given for designing the SOF controller. Compared to the existing results, the proposed design conditions are more relaxed and can be applied to a wider class of no-fault linear systems. Then a novel adaptive mechanism is established, where the inverses of switched failure scaling factors are estimated online to accommodate the effects of actuator failure on systems. Two main difficulties arise: first is how to design the switched adaptive laws to prevent the missing of estimating information due to switching; second is how to construct a common Lyapunov function based on a switched estimate error term. It is shown that the new method can give less conservative results than that for the traditional control design with fixed gain matrices. Finally, simulation results on the HiMAT aircraft are given to show the effectiveness of the proposed approaches.  相似文献   

15.
In this paper, we propose an iterative linear matrix inequality (LMI) approach to design static output feedback (SOF) controllers for continuous-time linear time-invariant (LTI) systems. The method suggested in this paper can be viewed as a version of some previous iterative LMI methods. Although the proposed method cannot always provide improved results in comparison with the previous one, it can be used as a less conservative alternative in some cases. In addition, it can be combined with the previous algorithm to improve the results. Finally, an example is gSiven to demonstrate the validity of the proposed methods.  相似文献   

16.
This paper will research the problem of static output feedback (SOF) stabilization of state-constrained switched linear systems via an improved average dwell time method (ADT). Firstly, an improved ADT method is adopted to establish sufficient conditions for SOF of the state-constrained switched linear systems in the form of matrix inequality. It has been shown that this method is less conservative than traditional ADT, which in view of different decay rates of a Lyapunov function related to an active subsystem on the basis of whether the saturations occur or not. Then, a new iterative algorithm is designed to solve the matrix inequality and a SOF controller can be added. In the iterative linear matrix inequality (ILMI) algorithm, it is important not only to overcome the typical bilinear matrix inequality (BMI) problem of SOF, but also to solve the non-convex problem caused by state constraints. Finally, the availability and the applicability of the proposed method is shown by the application of a boost converter.  相似文献   

17.
The static output feedback (SOF) stabilization problem for general linear, continuous-time and discrete-time systems is discussed. A few novel necessary and sufficient conditions are proposed, and a modified SOF stabilization problem with performance is studied. For multiple-input single-output (or single-input multiple-output) systems the relation with a class of Hankel matrices, and their inverses, in the continuous-time case and with a class of Toeplitz matrices, in the discrete-time case, is established. These relationships are used to construct conceptual numerical algorithms. Finally, it is shown that, in the continuous-time case, the problem can be recast as a concave–convex programming problem. A few worked out examples illustrate the underlying theory.  相似文献   

18.
The robust stability and robust stabilization problems for discrete singular systems with interval time-varying delay and linear fractional uncertainty are discussed. A new delay-dependent criterion is established for the nominal discrete singular delay systems to be regular, causal and stable by employing the linear matrix inequality (LMI) approach. It is shown that the newly proposed criterion can provide less conservative results than some existing ones. Then, with this criterion, the problems of robust stability and robust stabilization for uncertain discrete singular delay systems are solved, and the delay-dependent LMI conditions are obtained. Finally, numerical examples are given to illustrate the e?ectiveness of the proposed approach.  相似文献   

19.
This paper considers the problem of static output feedback (SOF) control for discrete-time switched linear systems under arbitrary switching. By the aid of switched quadratic Lyapunov functions combined with Finsler’s lemma, new sufficient conditions for SOF stabilization are obtained which guarantee a γ-performance of the closed-loop switched systems subject to input disturbances. The proposed method can work successfully in situations where the existing ones fail. Three examples are given to illustrate its effectiveness.  相似文献   

20.
The problem of H static output feedback (SOF) control of two‐dimensional (2‐D) discrete systems described by the Fornasini‐Marchesini (FM) second model is investigated in this paper. First, by applying the 2‐D Bounded Real Lemma, the 2‐D H SOF control problem is formulated in terms of a bilinear matrix inequality (BMI). Then, by combining the slack variable technique with two kinds of existing LMI methods, respectively, less conservative sufficient LMI conditions are proposed for the BMI formulation. The relation of these two kinds of LMI conditions are revealed by analyzing the choices of coordinate transformation matrices involved in the first kind of LMI conditions. Finally, a numerical example is provided to demonstrate the effectiveness and merits of the proposed methods.  相似文献   

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