Adaptive Low-Gain Integral Control of Multivariable Well-Posed Linear Systems
Adaptive Low-Gain Integral Control of Multivariable Well-Posed Linear Systems
复制标题
多变量适定线性系统的自适应低增益积分控制
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
S. Townley
中科院分区：
文献类型：
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作者：
H. Logemann;S. Townley
有限维系统的低增益积分控制原理是众所周知的。最近，低增益积分控制的结果已经获得了类的无限维系统。在本文中，我们表明，积分控制与一个简单的和自然的适应的积分增益实现跟踪恒定的参考信号的每一个指数稳定的，多变量的，适定的，无限维的，线性系统的稳态增益矩阵有它的频谱在开放的右半平面。我们的研究结果大大扩展，改进和简化以前的工作作者[SIAM J。控制优化。{35}（1997），pp. 78- 116]。
The principle of low-gain integral control for finite-dimensional systems is well known. More recently, low-gain integral control results have been obtained for classes of infinite-dimensional systems. In this paper we show that integral control with a simple and natural adaptation of the integrator gain achieves tracking of constant reference signals for every exponentially stable, multivariable, well-posed, infinite-dimensional, linear system whose steady-state gain matrix has its spectrum in the open right-half plane. Our results considerably extend, improve, and simplify previous work by the authors [SIAM J. Control Optim. {35} (1997), pp. 78--116].