Improved Reachable Set Estimation and Aperiodic Sampled-Data for T–S Fuzzy Markovian Jump Systems
研究了T-S模糊马尔可夫跳跃系统在能量有界和峰值有界扰动下的可达集估计问题，并设计了非周期采样数据控制器，通过非线性质量弹簧和隧道二极管电路模型验证了方法的有效性，能获得更大的采样周期以节省带宽。
In this article, the problem of reachable set estimation (RSE) and the design of aperiodic sampled-data controller for Takagi–Sugeno fuzzy Markovian jump systems (T–S FMJSs) with unit-energy bounded disturbance (UEBD) and unit-peak bounded disturbance (UPBD) inputs are taken into consideration. First, sufficient conditions that all states of the T–S FMJSs are encompassed by ellipsoids under zero initial conditions are acquired via constructing a mode-dependent two-sided loop-based Lyapunov function and applying a linear matrix inequality approach. Second, the RSE is taken into account in the design of the state feedback aperiodic sampled-data controller with the aim that the resulting ellipsoid encompasses the reachable set of the closed-loop system. Finally, a nonlinear mass-spring model and a tunnel diode circuit model demonstrate the efficiency of the presented approach. In addition, this method is able to obtain a larger sampled-data period than other literature, thus saving bandwidth and reducing communication resources.