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首页> 外文期刊>IEEE Transactions on Automatic Control >Integral control of linear systems with actuator nonlinearities: lower bounds for the maximal regulating gain
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Integral control of linear systems with actuator nonlinearities: lower bounds for the maximal regulating gain

机译：具有执行器非线性的线性系统的积分控制：最大调节增益的下限

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摘要

Closing the loop around an exponentially stable single-input/single-output regular linear system, subject to a globally Lipschitz and nondecreasing actuator nonlinearity and compensated by an integral controller, is known to ensure asymptotic tracking of constant reference signals, provided that: 1) the steady-state gain of the linear part of the plant is positive; 2) the positive integrator gain is sufficiently small; and 3) the reference value is feasible in a very natural sense. Here lower bounds are derived for the maximal regulating gain for various special cases including systems with nonovershooting step-response and second-order systems with a time-delay in the input or output. The lower bounds are given in terms of open-loop frequency/step response data and the Lipschitz constant of the nonlinearity, and are hence readily obtainable.
机译：已知在全局Lipschitz条件下且执行器非线性不断减小并由积分控制器补偿的情况下，闭合围绕指数稳定的单输入/单输出规则线性系统的环路可确保恒定参考信号的渐近跟踪，前提是：1）设备线性部分的稳态增益为正； 2）正积分器增益足够小； 3）参考值在非常自然的意义上是可行的。在此，为各种特殊情况（包括具有非超调阶跃响应的系统和在输入或输出中具有时间延迟的二阶系统）得出最大调节增益的下限。下限是根据开环频率/阶跃响应数据和非线性的Lipschitz常数给出的，因此很容易获得。

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