论文标题
塑造非线性系统的瞬态响应以满足一类积分约束
Shaping the Transient Response of Nonlinear Systems to Satisfy a Class of Integral Constraints
论文作者
论文摘要
我们考虑塑造非线性系统的瞬态步长响应以满足一类积分约束的问题。这些约束是由能源和存储元素组成的混合能源系统固有的。虽然典型的瞬态规格旨在最大程度地减少过冲，但此问题是独一无二的，因为它需要存在可观的过冲以满足上述约束。该问题先前是在稳定的线性系统的背景下研究的。表明，需要最少了解植物模型的组合积分和前馈控制，这表明可以使系统适合达到此类约束。本文将其工作扩展到非线性系统，并在附加条件下证明了相同补偿结构的有效性。从广义上讲，可以表明，当将这种补偿结构应用于具有稳定的开环步长响应和正直流增益的非线性系统时，可以满足积分约束。但是，由此产生的闭环系统的稳定性要求控制器增益界限。
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.
