共查询到19条相似文献,搜索用时 93 毫秒
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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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本文讨论了一种大系统实时随机最优控制算法--奇异摄动型卡尔曼滤波的设计问题.
建立了线性定常离散互联电力系统的奇异摄动模型.奇异摄动型卡尔曼滤波每循环一步所需
要的计算时间和内存量会大大减小.文中还考虑了控制增益的计算问题.通过对华北互联电
力系统LFC的仿真证明了其控制效果和奇异摄动型卡尔曼滤波算法的有效性. 相似文献
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Arie Leizarowitz 《Mathematics of Control, Signals, and Systems (MCSS)》2002,15(2):101-119
The order reduction method for singularly perturbed optimal control systems consists of employing the system obtained while
setting the small parameter to zero. In many situations the differential-algebraic system thus obtained indeed provides an
appropriate approximation to the singularly perturbed optimal control problem under consideration. In this paper we show,
however, that the set of singularly perturbed optimal control systems for which the order reduction approach is invalid is
dense (in the L
∞ norm) in the class of systems which we consider. This is established under the assumption that the fast variable in the singularly
perturbed system is not a scalar.
Date received: June 8, 2001. Date revised: December 30, 2001. 相似文献
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针对线性奇异摄动系统, 提出一种基于PI (proportional integral) 观测器的故障诊断和最优容错控制方法. 基于奇异摄动系统相关理论和矩阵变换技术, 给出PI 全维观测器存在的条件, 该观测器可以观测系统的快慢状态和故障系统的状态. 在估测到系统状态的基础上进一步考虑最优性, 应用最优控制理论, 设计状态反馈控制器, 提出基于PI 观测器的故障诊断器和最优容错控制器的设计方法. 最后的数值算例验证了所提出方法的可行性和正确性.
相似文献14.
Hassan K. Khalil 《Automatica》1978,14(2):153-156
This paper considers the stochastic control of linear-quadratic problems for singularly perturbed systems when the input noise is colored. A near optimal linear output feedback control is obtained by optimizing a slow subsystem only. 相似文献
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We construct asymptotically optimal controls for singularly perturbed nonlinear systems, where both, the slow and the fast motions are controlled. For this purpose we give necessary optimality conditions for an averaged system for the slow motion. 相似文献
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本文利用奇异摄动系统快、慢时间尺度特性和组合控制方法,将线性定常奇异摄动系统的
特征结构配置问题等价地转化为由慢、快变子系统各自的特征结构配置问题来解决、并在各阶
精度上进行了近似结果的研究. 相似文献
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分析一类非线性离散奇异摄动系统的降阶组合优化控制器的合理性, 即降阶组合控制器与原始高阶优化控制器之间的关系. 基于快、慢子系统的解耦, 分别对快、慢子系统设计子优化控制器, 并进一步提出作用于原高阶系统的组合优化控制器. 对原高阶系统设计传统高阶优化控制器, 提出组合优化控制器近似等于传统高阶优化控制器的充分条件. 最后通过仿真验证了所得到结论的正确性.
相似文献19.
MASATO KODA 《International journal of systems science》2013,44(8):909-919
A new variational approach is described to compute singular sensitivity functions of finite dimensional systems with respect to changes in system structure. The reduced nominal model and its adjoint system are used to define singular sensitivity functions. A relation between the present method and singularly perturbed optimal control theory is established. It is shown that the present variational approach gives a computationally effective method in singular sensitivity analysis. The method is applied to singularly perturbed linear ordinary differential equations and singular optimal control problem. 相似文献