Reliable dissipative control for stochastic impulsive systems

Reliable dissipative control for stochastic impulsive systems
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随机脉冲系统的可靠耗散控制

DOI:
10.1016/j.automatica.2007.08.018
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发表时间:
2008-04
期刊:
Autom.
影响因子:
--
通讯作者:
--
中科院分区:
其他
文献类型:
--
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研究了一类随机混合系统的可靠耗散控制问题。所研究的系统存在马尔可夫跳变、参数不确定性、执行器可能失效和脉冲效应等问题,这些问题在实际应用中经常遇到,也是不稳定的来源。我们的注意力集中在线性状态反馈控制器和脉冲控制器的设计上,这样,对于所有允许的不确定性以及执行器在预定的执行器子集中发生的故障,随机混合系统是随机鲁棒稳定和严格(Q,S,R)耗散的。利用线性矩阵不等式(LMI)技术,得到了求解的充分条件。本文的主要结果推广了已有的关于H∞控制的结果。
This paper deals with the problem of reliable dissipative control for a class of stochastic hybrid systems. The systems under study are subject to Markovian jump, parameter uncertainties, possible actuator failure and impulsive effects, which are often encountered in practice and the sources of instability. Our attention is focused on the design of linear state feedback controllers and impulsive controllers such that, for all admissible uncertainties as well as actuator failure occurring among a prespecified subset of actuators, the stochastic hybrid system is stochastically robustly stable and strictly (Q,S,R)-dissipative. The sufficient conditions are obtained by using linear matrix inequality (LMI) techniques. The main results of this paper extend the existing results on H∞control.
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