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中文摘要：
研究了具有时变时滞的一种新颖模型——随机双曲正切模型的鲁棒可镇定和鲁棒控制问题．基于线性矩阵不等式和Lyapunov-Krasovskii方法，提出了时滞依赖的稳定性准则，由此进一步给出了鲁棒非线性状态反馈控制律，相应的控制器可保证闭环系统是均方意义下渐近稳定的．对于H∞控制问题，一种鲁棒H∞控制器的设计方法被提出，它对于给定的H∞性能指标能够保证闭环系统是均方意义下渐近稳定的．最后用一个设计示例和仿真结果验证了本文提出的方法的有效性．
英文摘要：
Studies the problems of robust stabilization/H∞ control of a stochastic hyperbolic tangent model newly developed with time-varying delay. Based on linear matrix inequality （LMI） and Lyapunov-Krasovskii approaches, a delay-dependent stabilization criterion and robust nonlinear state feedback control law are given. And the controller thus designed is guaranteed asymptotically stable in terms of mean square for closed-loop systems. For the robust H∞ control problem, a design method of the robust H∞ controller is proposed to keep a closed-loop system asymptotically stable in terms of mean square with a pre-defined H∞ disturbance attenuation coefficient γ. An illustrative example and simulation results are given to verify the effectiveness of the approaches proposed.
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