Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems

Keles Natalia A.; Lacerda Marcio J.; Agulhari Cristiano M.

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Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems

机译：周期性离散不确定系统的鲁棒性能和基于观测器的控制

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This paper presents an approach for the synthesis of observer-based controllers for discrete-time periodic linear systems. The H2 performance criterion has been employed to design both the observer and the controller. For the periodic observer design, two conditions in the form of Linear Matrix Inequalities (LMIs) are proposed, which stem from the Lyapunov Theory applied over the dynamics of the estimation error. The LMI condition obtained for the periodic state-feedback controller results from the application of the duality principle over the periodic system, under the assumption that only the estimated states are available to be used in the state-feedback compensation. Numerical experiments illustrate the potential of the proposed observer-based control technique.

机译：本文提出了一种用于离散时间周期线性系统的基于观测器的控制器综合方法。 H2性能标准已被用来设计观察者和控制器。对于周期观测器设计，提出了两种形式的线性矩阵不等式（LMI）条件，这些条件源于将Lyapunov理论应用于估计误差的动力学。在假设只有估计状态可用于状态反馈补偿的假设下，为周期状态反馈控制器获得的LMI条件是由于在周期系统上应用对偶原理而导致的。数值实验说明了所提出的基于观测器的控制技术的潜力。

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来源
《Mathematical Problems in Engineering》 |2019年第4期|5851739.1-5851739.9|共9页
作者
Keles Natalia A.; Lacerda Marcio J.; Agulhari Cristiano M.;
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Fed Univ Sao Joao del Rei UFSJ, Control & Modelling Grp GCOM, Dept Elect Engn, Praca Frei Orlando 170, BR-36307352 Sao Joao Del Rei, MG, Brazil;

Fed Univ Sao Joao del Rei UFSJ, Control & Modelling Grp GCOM, Dept Elect Engn, Praca Frei Orlando 170, BR-36307352 Sao Joao Del Rei, MG, Brazil;

Fed Univ Technol Parana UTFPR, Dept Elect Engn, Ave Alberto Carazzai 1640, BR-86300000 Cornelio Procopio, PR, Brazil;

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1. Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems [J] . Keles Natalia A., Lacerda Marcio J., Agulhari Cristiano M. Mathematical Problems in Engineering . 2019,第PTa4期

机译：周期离散时间不确定系统的强大性能和观察者控制
2. Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems [J] . Natália A. Keles, Márcio J. Lacerda, Cristiano M. Agulhari Mathematical Problems in Engineering: Theory, Methods and Applications . 2019,第1期

机译：周期离散时间不确定系统的强大性能和观察者控制
3. Observer-based Robust H ∞ Control for Uncertain Discrete-time T-S Fuzzy Systems [J] . A. Bentaleb, A. Benzaouia, A. El Hajjaji, IFAC PapersOnLine . 2020,第2期

机译：基于观察者的鲁棒H ∞对不确定离散时间T-S模糊系统的控制
4. Observer-Based Robust Servo System with Guaranteed Adaptive Control Performance for Linear Uncertain Discrete-Time Systems [C] . Hidetoshi OYA, Kojiro Hagino International Conference on Cybernetics and Information Technologies, Systems and Applications(CITSA2004) and 10th International Conference on Information Systems Analysis and Synthesis(ISAS2004) vol.2 . 2004

机译：线性不确定离散系统基于观测器的鲁棒伺服系统，具有自适应控制性能
5. Observer-Based Event-Triggered and Set-Theoretic Neuro-Adaptive Controls for Constrained Uncertain Systems [D] . Ghafoor, Abdul . 2020

机译：基于观察者的事件触发和设定的无限制系统的定理神经自适应控制
6. A Periodic Event-Triggered Design of Robust Filtering for T-S Fuzzy Discrete-Time Systems [O] . Zuchang Zhang, Dongliang Lin, Xingyi Wang, 2010

机译：T-S模糊离散系统的鲁棒滤波的周期事件触发设计
7. Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations [O] . You, Surong, Hu, Liangjian, Mao, Wei, 2015

机译：通过基于离散时间观测值的反馈控制，对混合不确定系统进行鲁棒指数镇定

Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems

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