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考虑带有饱和执行器的不确定系统,研究了该系统的非脆弱控制和吸引域估计问题。与传统的二次Lyapunov函数不同,引入了分段二次Lyapunov函数,给出了保守性更小的稳定性条件,所设计的控制器不再是单一的线性控制器,而是在多个不同的线性控制器之间切换的非线性控制器;同时给出了闭环系统最大吸引域的估计方法,获得比传统方法更大的吸引域。仿真结果也表明本文方法的有效性。
Considering the uncertain system with a saturated actuator, the problem of non-fragile control and attraction domain of the system is studied. Different from the traditional quadratic Lyapunov function, the piecewise quadratic Lyapunov function is introduced and the conservative condition of the stability is given. The designed controller is no longer a single linear controller, The nonlinear controller which switches between the linear controllers is given. At the same time, the estimation method of the maximum attracting domain of the closed-loop system is given, and the larger attracting domain than the traditional method is obtained. Simulation results also show the effectiveness of the proposed method.