Robust exponential convergence of a class of linear delayed systems with bounded controllers and disturbances

Robust exponential convergence of a class of linear delayed systems with bounded controllers and disturbances
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DOI:
10.1016/j.automatica.2006.05.023
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发表时间:
2006-11
期刊:
Autom.
影响因子:
--
通讯作者:
Said Oucheriah
Said Oucheriah
中科院分区:
其他
文献类型:
--
作者:
Said Oucheriah

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本文研究了一类具有时变时滞、外部干扰和控制饱和的动态系统的鲁棒指数镇定问题。一个线性无记忆状态反馈控制器的合成,以保证有一个域的容许初始条件,从考虑的系统的所有解决方案,以预先指定的收敛速度指数收敛到一个球。该问题被表述为一个两步优化问题,矩阵不等式约束,以扩大球的大小的可容许的初始条件。
This brief paper deals with the problem of robust exponential stabilization of a class of dynamic systems subject to time-varying delays, external disturbances and control saturation. A linear memoryless state feedback controller is synthesized to guarantee that there is a domain of admissible initial conditions from which all solutions of the class of systems considered converge exponentially to a ball with a prespecified convergence rate. The problem is formulated as a two-step optimization problem with matrix inequality constraints to enlarge the size of the ball of admissible initial conditions.