CAJ | 학술논문

研究了具有不可靠通信通道的离散时间markovian跳变系统的量化控制问题．首先，构造离散Lyapunov函数，利用矩阵不等式的凸性以及线性矩阵不等式技术，得到具有较小保守性的稳定性条件；其次，根据线性矩阵不等式技术求解量化反馈控制器设计的增益，稳定性条件和控制器增益设计最后转换成线性矩阵不等式方程的求解，通过matlab可以很容易实现；最后通过数值例子来例证所述方法的有效性．
연구료구유불가고통신통도적리산시간markovian도변계통적양화공제문제．수선，구조리산Lyapunov함수，이용구진불등식적철성이급선성구진불등식기술，득도구유교소보수성적은정성조건；기차，근거선성구진불등식기술구해양화반궤공제기설계적증익，은정성조건화공제기증익설계최후전환성선성구진불등식방정적구해，통과matlab가이흔용역실현；최후통과수치례자래예증소술방법적유효성．
This paper investigates the issue of quantized controller for discrete-time markovian jump systems with unreliable communication channel. Firstly, by exploiting a discrete Lyapunov function and using the convexity property of the matrix inequality as well as Jessen inequality, new criteria are derived which are less conservative. Secondly, based on the obtained conditions, the gain of quantized controller can be easily obtained through Matlab in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the effectiveness of the proposed theoretical results.