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Fundamental Limitations of Control and Filtering in Continuous-Time Systems: An Information-Theoretic Analysis [article]

Neng Wan, Dapeng Li, Naira Hovakimyan
2022 arXiv   pre-print
Inequality constraints for the trade-off metric are derived in a general setting and then applied to capture the fundamental limitations of various control and filtering systems subject to linear and nonlinear  ...  To answer this challenge, we lift the information-theoretic analysis to continuous function spaces of infinite dimensions by using Duncan's theorem or the I-MMSE relationships.  ...  Acknowledgements This work was supported by AFOSR and NSF. In this arXiv version, the authors would also like to thank the readers and staff on  ... 
arXiv:2201.00995v2 fatcat:tgh6uijurbbeflio5m3lieoiym

Resilient Sparse Controller Design with Guaranteed Disturbance Attenuation [article]

MirSaleh Bahavarnia, Hossein K. Mousavi
2019 arXiv   pre-print
Our approach highlights a tradeoff between the sparsity of the feedback gain, performance measure, and fragility of the design.  ...  To best of our knowledge, this work is the first framework providing performance guarantees for sparse feedback gain design.  ...  Robustness: in plants with an external disturbance, the H ∞ norm is a common measure to describe the quality of the disturbance attenuation in the output; that is G(s) H∞ := sup ω σ max (G(jω)) , (3) where  ... 
arXiv:1810.05284v2 fatcat:l4cwmtogjjdcvpx75xdhwzodcy

Disturbance attenuation in linear systems revisited

Jiqiang Wang, Hong Yue, Georgi Dimirovski
2017 International Journal of Control, Automation and Systems  
A variety of methods have been proposed for attenuating or rejecting disturbances in linear systems.  ...  Besides this, the proposed method can tell performance limitations and determine the problem of existence of optimal controllers, as well as providing a useful framework to improve the performance of an  ...  In fact, the problem of determining limit of performance is an important issue that has unfortunately overlooked for many design approaches.  ... 
doi:10.1007/s12555-016-0132-5 fatcat:lyqy5y5xojhqtjn6svon4nxk7u

Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information

Nuno C. Martins, Munther A. Dahleh, John C. Doyle
2007 IEEE Transactions on Automatic Control  
In this paper, we study fundamental limitations of disturbance attenuation of feedback systems, under the assumption that the controller has a finite horizon preview of the disturbance.  ...  Under asymptotic stationarity assumptions, our results show that the new fundamental limitation differs from Bode's only by a constant, which quantifies the information rate through the communication system  ...  Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information Nuno C. Martins, Member, IEEE, Munther A. Dahleh, Fellow, IEEE, and John C.  ... 
doi:10.1109/tac.2006.887898 fatcat:l3gx6fuvlbbtdop5rvfaihrcuq

State Feedback Speed Control with Periodic Disturbances Attenuation for PMSM Drive

Łukasz J. Niewiara, Rafał Szczepański, Tomasz Tarczewski, Lech M. Grzesiak
2022 Energies  
This paper proposes an auto-tuned constrained state-feedback controller (SFC) to attenuate periodic disturbances present in permanent magnet synchronous (PMSM) motor drives.  ...  A detailed time- and frequency-domain analysis has been conducted in respect to periodic disturbances present in a PMSM drive system.  ...  Informed Consent Statement: Not applicable. Data Availability Statement: Not applicable. Conflicts of Interest: The authors declare no conflicts of interest.  ... 
doi:10.3390/en15020587 fatcat:tqpt75g7izd6jff57lqh5grndy

Disturbance/Uncertainty Estimation and Attenuation Techniques in PMSM Drives—A Survey

Jun Yang, Wen-Hua Chen, Shihua Li, Lei Guo, Yunda Yan
2017 IEEE transactions on industrial electronics (1982. Print)  
For example, making full use of the information obtained by MCSA is beneficial for disturbance modeling and estimation design.  ...  As such, design and synthesis of DUEA techniques for AC machine drives under multiple disturbance/uncertainty is also an open issue to be addressed. 3) Constraint Handling: Quite often, there are various  ...  His research interests include the development of advanced control strategies (Nonlinear Model Predictive Control, Disturbance Observer Based Control, etc.) and their applications in AC servo systems.  ... 
doi:10.1109/tie.2016.2583412 fatcat:735e2jkirfewpdjgfjkcmxny6y

Attenuating the Impact of Integrity Attacks on Real-Time Pricing in Smart Grids [article]

Jairo Giraldo, Alvaro Cárdenas, Nicanor Quijano
2014 arXiv   pre-print
and by detecting anomalies in the behavior of the system.  ...  In this paper we extend previous work by considering a more powerful and general adversary model, a new analysis method based on sensitivity functions, and by proposing several countermeasures that can  ...  In systems and control theory, it is well known that feedback can attenuate or amplify disturbances; therefore, using the frequency representation of the system (the transfer function), it is possible  ... 
arXiv:1410.5111v1 fatcat:7vb62yt5fjcbna5juesczzd67q

Digital-Control-Based Approximation of Optimal Wave Disturbances Attenuation for Nonlinear Offshore Platforms

Xiao-Fang Zhong, Yu-Hong Sun, Shi-Yuan Han, Jin Zhou, Dong Wang
2017 Energies  
The main contribution is that a digital-control-based approximation of optimal wave disturbances attenuation controller (AOWDAC) is proposed based on iteration control theory, which consists of a feedback  ...  Finally, applied the proposed AOWDAC to a jacket-type offshore platform in Bohai Bay, the vibration amplitudes of the displacement and the velocity, and the required energy consumption can be reduced significantly  ...  Conflicts of Interest: The authors declare no conflicts of interest.  ... 
doi:10.3390/en10121997 fatcat:kfkzrmgagvg4dm7p6t4ckj4vty

Robust Monetary Policy With Misspecified Models: Does Model Uncertainty Always Call For Attenuated Policy?

Robert J. Tetlow, Peter von zur Muehlen
2000 Social Science Research Network  
This paper explores Knightian model uncertainty as a possible explanation of the considerable difference between estimated interest rate rules and optimal feedback descriptions of monetary policy.  ...  However, policies designed to protect the economy against the worst-case consequences of misspecified dynamics are less aggressive and turn out to be good approximations of the estimated rule.  ...  The constraint shown in (11), given ¼ , is an ¾ norm, where Û. 2. ½´ µ ×ÙÔ ´ µ : the largest absolute size of . For Û, it measures the maximum amplitude of disturbances.  ... 
doi:10.2139/ssrn.231976 fatcat:23iueipmjzcunpdg4kivh765xa

Piecewise Adaptive Sliding Mode Control for Aeroengine Networked Control Systems with Resource Constraints

Bin Zhou, Shousheng Xie, Litong Ren, Lei Wang, Yu Zhang, Ledi Zhang, Hao Wang
2019 Complexity  
Within the future application of wireless network for the aeroengine control problem, resource constraints (caused by the limitation of hardware) and network traffic restriction must be considered as one  ...  Finally, an attenuation factor based piecewise adaptive sliding mode strategy has been designed considering the influence of sampling period on system performance.  ...  Acknowledgments This work is supported by the National Natural Science Foundation of China (51606219 and 51476187).  ... 
doi:10.1155/2019/8693780 fatcat:pyyc3vj6eff6dlrv37nvwmjzvu

Mathematical Theories and Applications for Nonlinear Control Systems

Xue-Jun Xie, Ju H. Park, Hiroaki Mukaidani, Weihai Zhang
2019 Mathematical Problems in Engineering  
Zhang in the paper entitled "Disturbance Attenuation via Output Feedback for Nonlinear Time-Delay Systems with Input Matching Uncertainty" study the problem of output feedback disturbance attenuation for  ...  systems with unknown measurement disturbances any prior information of which is unknown and which has measurement delay resulting from the inherent limited bandwidth.  ...  The editors also wish to thank the anonymous reviewers for their careful reading of the manuscripts submitted to this special issue collection and their many insightful comments and suggestions.  ... 
doi:10.1155/2019/2065786 fatcat:qx66v5pu3fgo7ee4rt7rn6rcj4

Soliton Attenuation and Emergent Hydrodynamics in Fragile Matter

N. Upadhyaya, L. R. Gómez, V. Vitelli
2014 Physical Review X  
Further, we follow in detail the attenuation of the initial solitary wave, identifying two distinct regimes-an initial exponential decay, followed by a longer power-law decay-and suggest simple models  ...  an anomalous viscosity that arises even when the microscopic mechanisms of energy dissipation are negligible.  ...  Nesterenko coined the term sonic vacuum to designate this state in a granular chain and demonstrated the existence of solitonic excitations both experimentally and theoretically [2, 7, 9] .  ... 
doi:10.1103/physrevx.4.011045 fatcat:pxnqlp7v75ar5mmvwebi5pkyoy

A survey on anti-disturbance control of switched systems with input saturation

Yunliang Wei, Shengsen Jia, Kunming Liu
2020 Systems Science & Control Engineering  
Then it introduces the research status and development of dynamic analysis at home and abroad, including the research status of system control under input saturation constraints and the research status  ...  This paper reviews the latest developments in anti-disturbance control of switched systems subject to input saturation.  ...  Research status of anti-disturbance control for switched systems subject to input saturation constraints In view of the theoretical and engineering value, the problem of switched systems control has always  ... 
doi:10.1080/21642583.2020.1740113 fatcat:2hnboji3ufdzjhi7pntn5fzttu

A Review on Analysis and Synthesis of Nonlinear Stochastic Systems with Randomly Occurring Incomplete Information

Hongli Dong, Zidong Wang, Xuemin Chen, Huijun Gao
2012 Mathematical Problems in Engineering  
In the context of systems and control, incomplete information refers to a dynamical system in which knowledge about the system states is limited due to the difficulties in modeling complexity in a quantitative  ...  Recently, in response to the development of network technologies, the phenomenon of randomly occurring incomplete information has become more and more prevalent.  ...  An observer-based feedback controller has been designed to stochastically stabilize the networked system.  ... 
doi:10.1155/2012/416358 fatcat:kv7yj7ejfnhkvaz4jvfhm4lfaa


Leonid Fridman, Denis Efimov, Salah Laghrouche
2021 International Journal of Robust and Nonlinear Control  
Moreno in their work "High-Order Sliding-Mode Control Design Homogeneous in the Bi-limit" suggested a new Lyapunov-based design of high-order sliding-mode controllers, providing a fixed-time convergence  ...  In general, the homogeneous dynamical systems take an intermediate place between linear and nonlinear dynamics, they demonstrate a lot of features common for the linear framework while dealing with strongly  ...  estimation error attenuating the effects of the external disturbances. 9.  ... 
doi:10.1002/rnc.5549 fatcat:dgsjorxk2faqjktrnoafdt6o7q
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