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首页> 外文期刊>International Journal of Innovative Computing Information and Control >NEW RESULTS ON GUARANTEED COST CONTROL OF UNCERTAIN DISCRETE SYSTEMS WITH BOTH STATE AND INPUT DELAYS
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NEW RESULTS ON GUARANTEED COST CONTROL OF UNCERTAIN DISCRETE SYSTEMS WITH BOTH STATE AND INPUT DELAYS

机译：状态和输入时滞不确定离散系统保证成本控制的新结果

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摘要

This paper is concerned with the guaranteed cost control for a class of un certain discrete-time systems subject to both state and input delays. By choosing an appropriate Lyapunov functional and utilizing the free-weighting matrix technique, a new delay-dependent condition is firstly proposed for the existence of a state feedback con troller which ensures not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the admissible parameter uncertainties. Based on it, the corresponding guaranteed cost controller is then obtained in terms of linear matrix inequalities. An optimization problem is formulated to minimize the upper bound on the cost function. Two examples are given to demonstrate the validity and potential of the developed approach.
机译：本文涉及一类不确定的离散时间系统的保证成本控制，该系统受状态和输入延迟的影响。通过选择合适的Lyapunov函数并利用自由加权矩阵技术，首先针对状态反馈控制器的存在提出了一种新的时滞相关条件，该条件不仅保证了闭环系统的渐近稳定性，而且还确保了系统的渐近稳定性。在所有允许的参数不确定性范围内都有足够的性能。在此基础上，然后根据线性矩阵不等式获得相应的保证成本控制器。提出了一个优化问题，以使成本函数的上限最小化。给出两个例子来证明所开发方法的有效性和潜力。

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