LTR design of discrete-time proportional-integral observers

Shafai B.; Beale S.; Niemann H.H.; Stoustrup J.L.

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LTR design of discrete-time proportional-integral observers

机译：离散时间比例积分观测器的LTR设计

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Applies the proportional-integral (PI) observer in connection with loop-transfer recovery (LTR) design for discrete-time systems. Both the prediction and the filtering versions of the PI observer are considered. We show that a PI observer makes it possible to obtain time recovery, i.e., exact recovery for t→∞, under mild conditions. Two systematic LTR design methods, one based on an extension of the linear quadratic Gaussian loop-transfer recovery (LQG/LTR) and the other based on linear matrix inequality (LMI), are derived for the discrete-time PI observer case, Explicit expressions for the recovery error when exact recovery is not achievable for all frequencies are also given

机译：将比例积分（PI）观察器与离散时间系统的环路转移恢复（LTR）设计结合使用。同时考虑了PI观测器的预测版本和过滤版本。我们证明了PI观测器可以在温和的条件下获得时间恢复，即t→∞的精确恢复。针对离散时间PI观测器情况，导出了两种系统的LTR设计方法，一种基于线性二次高斯环路转移恢复（LQG / LTR）的扩展，另一种基于线性矩阵不等式（LMI），显式还给出了无法在所有频率下均实现精确恢复时的恢复误差

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来源
《IEEE Transactions on Automatic Control》 |1996年第7期|p.1056-1062|共7页
作者
Shafai B.; Beale S.; Niemann H.H.; Stoustrup J.L.;
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正文语种 eng
中图分类自动化系统;
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discrete time systems; filtering theory; linear quadratic Gaussian control; matrix algebra; observers; prediction theory; two-term control; LQG/LTR; discrete-time proportional-integral observers; discrete-time systems; exact recovery; linear matrix inequality; linea;

机译：离散时间系统滤波理论线性二次高斯控制矩阵代数观测器预测理论两项控制LQG / LTR离散时间比例积分观测器离散系统精确恢复线性矩阵不等式线性;

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1. LTR design of discrete-time proportional-integral observers [J] . Shafai B., Beale S. IEEE Transactions on Automatic Control . 1996,第7期

机译：离散时间比例积分观测器的LTR设计
2. LTR DESIGN OF PROPORTIONAL-INTEGRAL OBSERVERS [J] . Niemann HH., Shafai B., Beale S., International Journal of Robust and Nonlinear Control . 1995,第7期

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3. Observer-Based Proportional-Integral Controller Design for a Class of Uncertain Switched Systems [J] . Dong Jun, Ai Qilong, He Shuping Iranian Journal of Science and Technology, Transactions of Electrical Engineering . 2019,第JULaSUPPLa1期

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4. Eigenstructure assignment design for proportional-integral observers- the discrete-time case [C] . G.R.Duan, G.P.Liu, S.Thompson, IFAC Symposium on Computer Aided Control Systems Design . 2001

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7. LTR Design of Discrete-time Proportional-Integral Observers [O] . Shafai, B., Beale, S., Niemann, H.H., 1996

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LTR design of discrete-time proportional-integral observers

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