满足一类积分约束的非线性系统瞬态响应整形
Shaping the Transient Response of Nonlinear Systems to Satisfy a Class of Integral Constraints
摘要：
考虑了非线性系统的瞬态阶跃响应的整形问题，使其满足一类积分约束。这种约束在由能源和存储元件组成的混合能源系统中是固有的。虽然典型的瞬态规范旨在最小化过冲，但这个问题是独特的，因为它需要存在明显的过冲来满足上述约束。这个问题以前研究的背景下，稳定的线性系统。一个组合的积分和前馈控制，需要最少的知识的植物模型，被证明是使系统能够满足这样的约束。本文将这一工作推广到非线性系统，并在附加条件下证明了相同补偿结构的有效性。广义地说，它示出了积分约束时，这种补偿结构被施加到非线性系统具有稳定的开环阶跃响应和一个积极的直流增益满足。然而，所得到的闭环系统的稳定性要求控制器增益的界限。
英文摘要：
We consider the problem of shaping the transient step response of nonlinear systems to satisfy a class of integral constraints. Such constraints are inherent in hybrid energy systems consisting of energy sources and storage elements. While typical transient specifications aim to minimize overshoot, this problem is unique in that it requires the presence of an appreciable overshoot to satisfy the foregoing constraints. The problem was previously studied in the context of stable linear systems. A combined integral and feedforward control, that requires minimal knowledge of the plant model, was shown to make the system amenable to meeting such constraints. This paper extends that work to nonlinear systems and proves the effectiveness of the same compensation structure under added conditions. Broadly, it is shown that the integral constraint is satisfied when this compensation structure is applied to nonlinear systems with stable open-loop step response and a positive DC gain. However, stability of the resulting closed-loop system mandates bounds on the controller gain.
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