Quantized $H_\infty$ Output Control of Linear Markov Jump Systems in Finite Frequency Domain
研究了将干扰频率纳入系统分析时，线性马尔可夫跳变系统的量化H∞静态输出控制问题，通过新策略分解变量耦合，无需对系统矩阵附加假设。
Incorporating the disturbance frequency into system analysis and synthesis, this paper is dedicated to the quantized <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_\infty }$ </tex-math></inline-formula> static output control of linear Markov jump systems. The output quantization is transformed into a sector bound form, and the finite frequency performance is handled by Parseval’s theorem. With the aid of Finsler’s lemma, sufficient conditions for the resulting closed-loop system are first established to satisfy the required finite frequency performance. To treat the static output feedback control problem in the framework of linear matrix inequalities, a new strategy is developed to decompose the coupling among Lyapunov variables, controller gain, and system matrices. In contrast to the existing results in the literature, no additional assumptions are imposed on the system matrices. Numerical examples are presented to demonstrate the validity of the established results.