Static Anti-windup Synthesis for a Class of Linear Systems Subject to Actuator Amplitude and Rate Saturation
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摘要: 讨论一类线性约束系统的静态抗饱和综合问题, 将执行器动力学特性引入增广系统, 从而化原系统为仅有幅值饱和的高阶增广系统. 提出基于线性矩阵不等式(LMI)的优化算法, 求得的静态抗饱和增益同时保证闭环系统的局部稳定性与最小化的L2增益. 仿真算例验证了方法的有效性.Abstract: For a wide class of linear saturated systems, we address the anti-windup synthesis problem. By absorbing the actuator dynamics into the augmented system, we show that the original system can be simplified to a larger system with only amplitude saturation. The static anti-windup gain is therefore obtained through the proposed linear matrix inequality (LMI) based optimization procedures with regional closed-loop stability and minimized nonlinear L2 gain. A simulation example illustrates the effectiveness of the approaches.
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