共查询到19条相似文献,搜索用时 62 毫秒
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线性系统静态输出反馈镇定的LMI方法 总被引:6,自引:1,他引:6
利用无约束条件的线性矩阵不等式(LMI)研究了W-问题和P-问题,而后者的解可用来设计静态输出反馈(SOF)镇定控制,作为一个应用考虑了不确定系统的静态输出反馈问题,给出了依赖于LMI条件的SOF设计方法。 相似文献
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针对含有状态不确定项的线性系统,提出具有执行器故障的静态输出反馈控制问题。首先给出在不考虑故障时设计控制器使系统保持渐近稳定的充分条件;然后讨论对于同一系统同一控制器在考虑执行器故障时系统出现不稳定;接下来,针对同一故障模型重新设计静态输出反馈控制器使系统在发生故障后仍保持渐近稳定。最后,数值仿真验证了本文结果的有效性。 相似文献
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考虑连续线性系统,在连续增益故障模型的前提下,提出带有执行器故障的圆形区域极点配置的静态输出反馈的可靠控制问题。本文利用线性矩阵不等式(LMI) 在考虑执行器故障模型的基础上,给出圆形区域极点配置的静态输出反馈的可靠控制器存在的充分条件。通过成果的仿真,并进一步说明当系统发生故障时,正常控制的闭环系极点可能离开所给定的圆形区域,而可靠控制的闭环系统仍然会保持极点在给定的圆形区域内。从而看出对系统进行极点配置的静态输出反馈的可靠控制的必要性。 相似文献
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针对直升机的小扰动模型,设计了静态输出反馈滑模控制器(SOFSMC)。利用参考模型,实现了直升机的相关动态指标。针对滑模面的设计问题,将其等价地转化为一组双线性矩阵不等式(BLMI),并采用迭代线性矩阵不等式(ILMI)技术来求解。针对控制律的综合问题,给出了一种基于单位向量法的控制律,并通过引入线性反馈来保证系统进入滑动模态后线性控制部分与标称系统的线性控制部分的一致性。仿真结果验证了该方法的有效性。 相似文献
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《International journal of systems science》2012,43(15):2815-2823
ABSTRACTIn this paper, we discuss a new problem of static output feedback controllers design for positive systems with delayed output measurements. When delayed output measurements are exclusively used as feedback control signals, previous control design methods for positive systems relying on the so-called delay-independent positivity and stability conditions are unable to synthesise a stable static output feedback controller for positive systems. A new method based on delay-dependent positivity and stability conditions is proposed in this paper to tackle this issue. We show that the synthesis of static output feedback controllers for positive systems under the effect of delayed output measurements is feasible under the newly proposed design method. Numerical examples are given to demonstrate the effectiveness of the new result. 相似文献
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基于谱技术研究了线性随机系统的区间稳定性与镇定控制问题.首先给出了保证随机系统区间稳定的充分性判据,该判据可确保随机系统的谱全部位于左半复平面的某一带状区域内;然后,利用矩阵的奇异值分解给出了静态输出反馈镇定控制器的设计方法,并将其归结为一组线性矩阵不等式(LMIs)的求解问题;最后,数值仿真验证了所得结论的正确性. 相似文献
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This paper studies the problem of designing the static output feedback controller for the positive linear continuous‐time systems. On the basis of a system augmentation approach, a novel characterization on the stable condition of the closed‐loop system is firstly established. Then, a necessary and sufficient condition is given to ensure the existence of the desired static output feedback controller, and an iterative linear matrix inequality algorithm is presented to compute the feedback gain matrix. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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Xin Du 《International journal of control》2013,86(8):1485-1495
This article is concerned with the problems of positive real analysis and control synthesis for discrete-time systems. New linear matrix inequality (LMI) characterisations of positive realness are derived, which enable one to check the positive realness by using parameter-dependent Lyapunov function. The relationship between the proposed characterisations and the existing ones are clarified, which shows that our new results are of less conservatism for characterising the positive realness of discrete-time systems with polytopic uncertainty. In addition, sufficient conditions for static output feedback positive real controller design are given in terms of solutions to a set of linear matrix inequalities. Numerical examples are included for illustration. 相似文献
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In this paper, the problem of designing a fixed static output feedback control law which minimizes an upper bound on linear quadratic (LQ) performance measures for r distinct MIMO plants is addressed using linear matrix inequality (LMI) technique. An iterative LMI algorithm is proposed to obtain the solution. Examples are used to demonstrate its effectiveness. Copyright ©1999 John Wiley & Sons, Ltd. 相似文献
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Akın Delibaşı 《International journal of control》2013,86(12):2494-2505
Using Hermite's formulation of polynomial stability conditions, static output feedback (SOF) controller design can be formulated as a polynomial matrix inequality (PMI), a (generally nonconvex) nonlinear semidefinite programming problem that can be solved (locally) with PENNON, an implementation of a penalty and augmented Lagrangian method. Typically, Hermite SOF PMI problems are badly scaled and experiments reveal that this has a negative impact on the overall performance of the solver. In this note we recall the algebraic interpretation of Hermite's quadratic form as a particular Bézoutian and we use results on polynomial interpolation to express the Hermite PMI in a Lagrange polynomial basis, as an alternative to the conventional power basis. Numerical experiments on benchmark problem instances show the improvement brought by the approach, in terms of problem scaling, number of iterations and convergence behaviour of PENNON. 相似文献
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This paper investigates the stabilization problem by means of a static output feedback control for positive systems with/without interval uncertainties. The designed closed‐loop system is ensured to be positive and stable with a prescribed decay rate. Necessary and sufficient conditions for the existence of such controllers are established in terms of linear matrix inequalities together with a matrix equality constraint. Furthermore, the desired static output feedback controllers can be derived directly via the cone complementarity linearization techniques. Finally, an illustrative example is presented to show the validity of results obtained in this paper. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献