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Keywords = generalized KYP lemma

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19 pages, 433 KB  
Article
Fault Detection and Reliable Controller Design for Fractional-Order Systems Based on Dynamic Observer
by He Li, Jie Li, Chao Deng and Yuanxin Li
Actuators 2023, 12(6), 255; https://doi.org/10.3390/act12060255 - 19 Jun 2023
Cited by 1 | Viewed by 1659
Abstract
In this paper, the problem of the fractional-order linear systems’ simultaneous fault detection and reliable control (SFDC) in the finite frequency domain is investigated. A dynamic observer aimed at detecting faults is designed, which also generates state estimation signals. In particular, it is [...] Read more.
In this paper, the problem of the fractional-order linear systems’ simultaneous fault detection and reliable control (SFDC) in the finite frequency domain is investigated. A dynamic observer aimed at detecting faults is designed, which also generates state estimation signals. In particular, it is found that the proposed dynamic-observer-based controller can achieve a better H performance. We derived the detector and controller’s design conditions to achieve H fault sensitivity performance and H interference attenuation performance in the limited frequency domain based on the generalized KYP lemma, which can achieve a better disturbance attenuation performance and fault sensitivity performance. Finally, the simulation results show the designed method’s effectiveness. Full article
(This article belongs to the Special Issue Sensor and Actuator Attacks of Cyber-Physical Systems)
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18 pages, 688 KB  
Article
Robust PD-Type Iterative Learning Control of Discrete Linear Repetitive Processes in the Finite Frequency Domain
by Lei Wang, Mu Li and Huizhong Yang
Mathematics 2020, 8(6), 1004; https://doi.org/10.3390/math8061004 - 18 Jun 2020
Cited by 2 | Viewed by 2168
Abstract
This paper studies a robust iterative learning control design for discrete linear repetitive processes in the finite frequency domain. Firstly, the state-space model of the iterative learning process is deduced. Then the dynamic performance condition of the control system in the finite frequency [...] Read more.
This paper studies a robust iterative learning control design for discrete linear repetitive processes in the finite frequency domain. Firstly, the state-space model of the iterative learning process is deduced. Then the dynamic performance condition of the control system in the finite frequency domain is derived by combining it with the stability theory of discrete linear repetitive processes. The system performances in the finite frequency domain are then transformed into the corresponding solutions of the linear matrix inequality by using the generalised KYP lemma. Finally, an integrated state feedback PD-type iterative learning control strategy is proposed. The robust control problem with norm-bounded uncertainty and convex polyhedral uncertainty are also considered in this paper. The simulation of the injection velocity in injection molding verified that the proposed methods in this paper are more effective than the P-type state feedback iterative learning control algorithm. Full article
(This article belongs to the Section E: Applied Mathematics)
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