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Low-gain integral control of continuous-time linear systems subject to input and output nonlinearities

机译:具有输入和输出非线性的连续时间线性系统的低增益积分控制

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摘要

Continuous-time low-gain integral control strategies are presented for tracking of constant reference signals for finite-dimensional, cominuous-time, asymptotically stable, single-input single-output, linear systems subject to a globally Lipschitz and non-decreasing input nonlinearity and a locally Lipschitz, non-decreasing and affinely sector-bounded output nonlinearity. Both non-adaptive (but possibly time varying) and adaptive integrator gains are considered. In particular, it is shown that applying error feedback using an integral controller ensures asymptotic tracking of constant reference signals, provided that (a) the steady-state gain of the linear part of the plant is positive, (b) the positive integrator gain is ultimately sufficiently small and (c) the reference value is feasible in a very natural sense. The classes of actuator and sensor nonlinearities under consideration contain standard nonlinearities important in control engineering such as saturation and deadzone. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 14]
机译:提出了连续时间低增益积分控制策略,用于跟踪有限维,连续时间,渐近稳定,单输入单输出,线性系统的恒定参考信号,该系统受全局Lipschitz约束且输入非线性不断减小,局部的Lipschitz,非递减且仿射约束的输出非线性。非自适应(但可能随时间变化)和自适应积分器增益均被考虑。特别是,它表明,使用积分控制器施加误差反馈可确保对恒定参考信号的渐近跟踪,条件是(a)工厂线性部分的稳态增益为正,(b)正积分器增益为最终足够小,并且(c)参考值在非常自然的意义上是可行的。正在考虑的执行器和传感器非线性类别包括在控制工程中很重要的标准非线性,例如饱和度和死区。 (C)2002 Elsevier ScienceLtd。保留所有权利。 [参考:14]

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