考虑时域硬约束的T-S模糊系统鲁棒H_∞控制

Robust H-infinity control for T-S fuzzy systems with time-domain hard constraints

针对带有时域硬约束(包括执行器饱和约束与状态约束)的不确定T-S模糊系统,提出了一种鲁棒H∞控制方法.先给出在不确定性参数范数有界的前提下T-S模糊系统满足给定H∞性能指标的充分条件,再寻找在一个有界能量干扰作用下包含所有系统状态轨迹的椭圆域,然后利用双椭圆域方法和S-Procesure将时域硬约束转化为一组LMI约束.这种多目标设计最终归结为实现一个带有LMI约束的优化问题.文中的最后给出并讨论了该方法用于倒立摆系统的仿真结果.

For uncertain Takagi-Sugeno（T-S） fuzzy systems with time-domain constraints on control inputs and states, a robust control scheme is proposed. Sufficient condition for achieving a given H-infinity performance level for the uncertain T-S fuzzy systems is given. Under the bound assumption of the disturbance energy, an ellipsoid containing all perturbed trajectories is found, and then, the time-domain hard constraints are translated into constraints in linear matrix inequalities （LMI） by using S-Procesure and double-ellipsoid method. This multi-objective design is eventually brought into solving an optimization problem with LMI constraints. Simulation of the application to an inverted pendulum is performed; and results are discussed.