对于非线性电力传动对象和非线性PD反馈控制器组成的整个模糊控制系统,进行了稳定性分析,并且给出了非线性PD反馈控制器的增益参数设计,其中,非线性电力传动对象是用模糊Takagi and Sugeno模型描述的。提出了模糊系统中的状态微分反馈控...对于非线性电力传动对象和非线性PD反馈控制器组成的整个模糊控制系统,进行了稳定性分析,并且给出了非线性PD反馈控制器的增益参数设计,其中,非线性电力传动对象是用模糊Takagi and Sugeno模型描述的。提出了模糊系统中的状态微分反馈控制,并且有效地分析了整个控制系统的稳定性。设计方法最终被归结为满足所谓Y2-condition的一些参数的选择。给出了对于一个非线性质量-弹簧-阻尼器系统的应用实例。展开更多
In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by co...In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities (LMIs). Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.展开更多
文摘对于非线性电力传动对象和非线性PD反馈控制器组成的整个模糊控制系统,进行了稳定性分析,并且给出了非线性PD反馈控制器的增益参数设计,其中,非线性电力传动对象是用模糊Takagi and Sugeno模型描述的。提出了模糊系统中的状态微分反馈控制,并且有效地分析了整个控制系统的稳定性。设计方法最终被归结为满足所谓Y2-condition的一些参数的选择。给出了对于一个非线性质量-弹簧-阻尼器系统的应用实例。
基金Supported by National Natural Science Foundation of China(60904026)the Program for New Century Excellent Talents in University+1 种基金the Graduate Innovation Program of Jiangsu Province(CX09B-051Z)the Scientific Research Foundation of Graduate School of Southeast University (YBJJ0929)
文摘In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities (LMIs). Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.
