Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities
Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities
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DOI：
10.1109/81.922470
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发表时间：
2001-05
影响因子：
5.1
通讯作者：
Zidong Wang;Biao Huang;K. J. Burnbam
中科院分区：
文献类型：
--
作者：
Zidong Wang;Biao Huang;K. J. Burnbam
研究了一类非线性时滞随机系统的鲁棒可靠控制问题。所研究的系统涉及随机性、状态时滞、参数不确定性、可能的执行器故障和未知的非线性扰动，这些都是实际中经常遇到的问题，也是不稳定性的来源。我们的注意力集中在线性状态反馈无记忆控制器的设计上，使得对于所有允许的不确定性以及执行器故障发生在预先指定的执行器子集之间，该工厂保持随机指数稳定的均方，独立的时间延迟。给出了系统在执行器失效情况下仍能鲁棒可靠指数稳定的充分条件，这些条件是代数Riccati不等式的解.一个说明性的例子被利用来证明所提出的设计方法的适用性。
This paper investigates the robust reliable control problem for a class of nonlinear time-delay stochastic systems. The system under study involves stochastics, state time-delay, parameter uncertainties, possible actuator failures and unknown nonlinear disturbances, which are often encountered in practice and the sources of instability. Our attention is focused on the design of linear state feedback memoryless controllers such that, for all admissible uncertainties as well as actuator failures occurring among a prespecified subset of actuators, the plant remains stochastically exponentially stable in mean square, independent of the time delay. Sufficient conditions are proposed to guarantee the desired robust reliable exponential stability despite possible actuator failures, which are in terms of the solutions to algebraic Riccati inequalities. An illustrative example is exploited to demonstrate the applicability of the proposed design approach.