共查询到18条相似文献,搜索用时 46 毫秒
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讨论了确定与不确定奇异摄动系统的稳定性问题。首先给出了确定系统稳定及不确定系统鲁棒稳定的条件,同时给出摄动参数的稳定上界,其次,对不稳定系统,给出了状态反馈可镇定的条件及控制器的求解。这些条件均可由MATLAB中的求解器求解。最后,数值实例验证了该方法的可行性和有效性。 相似文献
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奇异摄动系统的鲁棒控制与仿真研究 总被引:3,自引:0,他引:3
研究参数不确定奇异摄动系统的状态反馈镇定问题,得到基于线性矩阵不等式(LMI)的系统状态反馈可镇定的充分条件,给出状态反馈控制器的设计算法。算例验证了该方法的可行性与有效性。而且,这种方法同时适用于标准奇异摄动系统和非标准奇异摄动系统的控制。最后通过例子进行了详细的仿真研究。 相似文献
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针对欠驱动机器人Acrobot,提出一种基于线性矩阵不等式的鲁棒镇定控制方法。通过将Acrobot在垂直向上不稳定平衡点附近的第一杆角速度看作一种不确定性,得到Acrobot的不确定模型,在此基础上设计一种基于线性矩阵不等式的鲁棒镇定状态反馈控制律,实现Acrobot较大范围的平衡控制。仿真和对比结果验证了方法的有效性和优越性。 相似文献
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The quantized feedback control for a class of singularly perturbed systems is addressed, in which the controlled system and the controller are connected via a limited capacity communication channel. First, a proper coder–decoder pair is presented such that the transmission error decays to zero exponentially under information constraints. Then, a control law in terms of linear matrix inequalities is constructed to render the resulting closed‐loop system input‐to‐state stable with regard to the transmission error. Thus the asymptotic stability of the closed‐loop system is guaranteed. It is shown that the proposed method is simple and easy to operate. Moreover, an upper bound of the small perturbation parameter for the stability of systems can be explicitly estimated with a workable computational way. Finally, two examples are presented to show the effectiveness of the proposed method. 相似文献
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本文考虑了具有时变不确定性的线性系统族的状态反馈同时二次镇定问题,这个问题能更全面地刻划考虑系统的不确定性,并将其转注多个yapunov方程的同一解的问题,最后给出一个数值算例。 相似文献
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WU Zheng-Guang ZHOU Wu-Neng 《自动化学报》2007,33(7):714-718
This paper considers the problem of delay-dependent robust stabilization for uncertain singular delay systems. In terms of linear matrix inequality (LMI) approach, a delay-dependent stability criterion is given to ensure that the nominal system is regular, impulse free, and stable. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. An explicit expression for the desired controller is also given. Some numerical examples are provided to illustrate the validity of the proposed methods. 相似文献
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不确定奇异时滞系统时滞依赖鲁棒镇定 总被引:8,自引:0,他引:8
This paper considers the problem of delay-dependent robust stabilization for uncertain singular delay systems. In terms of linear matrix inequality (LMI) approach, a delay-dependent stability criterion is given to ensure that the nominal system is regular, impulse free, and stable. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. An explicit expression for the desired controller is also given. Some numerical examples are provided to illustrate the validity of the proposed methods. 相似文献
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同阶线性系统在Kharitonov空间的同时镇定 总被引:3,自引:0,他引:3
运用Kharitonov定理给出一个期望的闭环特征区间多项式,然后将同阶线性系统的同时镇定问题化成一组线性不等式的求解,并给出求解该不等式组的线性规划法,讨论了三种解的意义和性质.算例表明该方法的有效性. 相似文献
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一类非线性奇异摄动控制系统的镇定性* 总被引:1,自引:0,他引:1
本文讨论了一类非线性奇异摄动控制系统,文中我们运用动态分析的办法,结合处理非线性的技巧,着重研究了该系统的局部光滑反馈镇定性。 相似文献
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本文运用多项式稳定性充分判据,将不同阶次线性系统的同时镇定问题化成非线性不等式组的求解,然后提出求解不等式组的拟牛顿下山数值法,并应用于同时镇定问题中,算例表明该方法的有效性。 相似文献