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Gain and phase type multipliers for structured feedback robustness [article]

Axel Ringh, Xin Mao, Wei Chen, Li Qiu, Sei Zhen Khong
2022 arXiv   pre-print
The results are meaningfully instructive in the search for a valid multiplier for establishing robust closed-loop stability, and cover the well-known small-gain and the recent small-phase theorems.  ...  Similarly, if the feedback is robustly stable to certain phase-type uncertainty, then there exists a gain-type multiplier, i.e., its off-diagonal blocks are zeros.  ...  of the gain (resp. phase) type.  ... 
arXiv:2203.11837v1 fatcat:6ywrbnromzhy3nsb2a4cclfole

Page 2144 of Mathematical Reviews Vol. 53, Issue 6 [page]

1977 Mathematical Reviews  
and frequency-domain characteristics of the system, we provide an analysis of two types of multivariable structure and derive closed-form solutions for proportional and proportional- plus-integral feedback  ...  gains, a decentralised robust controller for the composite system can be found.  ... 

Robust stability analysis using the small gain, circle, positivity, and Popov theorems: a comparative study

W.M. Haddad, E.G. Collins, D.S. Bernstein
1993 IEEE Transactions on Control Systems Technology  
The results here illuminate the conservatism of analysis based on traditional small-gain type tests and reveal the effectiveness of analysis tests based on Popov analysis and related parameter-dependent  ...  Four robustness tests are used: small gain analysis, circle analysis, positive real analysis, and Popov analysis, each of which is guaranteed to give a less conservative result than the previous test.  ...  In classical control, gain and phase margins are often used as indirect measures of robustness.  ... 
doi:10.1109/87.260275 fatcat:puston75hjabzcjwapvhrkj5h4

Generalized discussion on design of force-sensor-less Power Assist Control

Sehoon Oh, Yoichi Hori
2008 2008 10th IEEE International Workshop on Advanced Motion Control  
Finally methodology of design the feedback gain in the FSPAC is discussed.  ...  This paper clarifies the trade-off between assistance performance and weak robustness in the FSPAC.  ...  This figure explains that feedback gain is strongly related with the gain margin and thus robustness [12] .  ... 
doi:10.1109/amc.2008.4516116 fatcat:6urwc3nwjnc5hnm4o6hixqh26a

Optimizing Average Performance of OFDM Systems Using Limited-Rate Feedback

Antonio G. Marques, Ana Belen Rodriguez Gonzalez, Jose Luis Rojo-Alvarez, Jesus Requena-Carrion, Javier Ramos
2010 IEEE Transactions on Wireless Communications  
His main research interests include statistical learning theory, digital signal processing, and complex system modeling, with applications to digital communications and to cardiac signal and image processing  ...  He has published more than 50 papers and more than 100 international conference communications.  ...  Lopez-Ramos and A. Caamano for their help in revising the manuscript.  ... 
doi:10.1109/twc.2010.082710.091328 fatcat:tb6dgwhlkvem3hyjzdgbpixcva

Robust fixed-structure controller design of electric power steering systems

Ahmed H. El-Shaer, Sumio Sugita, Masayoshi Tomizuka
2009 2009 American Control Conference  
Robust stability is studied for both sector-bounded and passive uncertainties resulting in a system of linear matrix inequalities (LMIs) and a linear matrix equality (LME).  ...  Experimental results involving human-in-the-loop show that the control design did satisfy the criteria for robust control and performance.  ...  The authors gratefully acknowledge the National Instruments and NSK (Japan) for their generous hadrware/software support.  ... 
doi:10.1109/acc.2009.5160219 dblp:conf/amcc/El-ShaerST09 fatcat:uws3x6syafbn5fgaym3femdwae

Robust Missile Feedback Control Strategies

E. J. Trottemant, C. W. Scherer, M. Weiss, A. Vermeulen
2010 Journal of Guidance Control and Dynamics  
For example, one can design the feedback gains M cine using the effective but computationally demanding multipliers. These gains can then be stored and implemented with a gain scheduling approach.  ...  on the feedback gains M is introduced into B, and D,.  ... 
doi:10.2514/1.48844 fatcat:ihtyjjpgrjh7za5jwjnpysogrm

Ambipolar circuits for analog, mixed-signal, and radio-frequency applications

Kartik Mohanram, Xuebei Yang, Masoud Rostami, Guanxiong Liu, Alexander Balandin
2012 Proceedings of the 2012 IEEE/ACM International Symposium on Nanoscale Architectures - NANOARCH '12  
We describe how such polarity controllable circuits can greatly simplify circuits for applications such as phase shift keying and phase detection in the AMS/RF space, with the potential to realize higher  ...  This paper describes the circuit design of a polarity controllable triple-mode amplifier based on ambipolar graphene field-effect transistors for analog, mixed-signal, and radio frequency (AMS/RF) applications  ...  If the two resistances are equal, the enhanced GPC amplifier is symmetric for n-type and p-type modes, and achieves matched gain, output DC level, and output resistance.  ... 
doi:10.1145/2765491.2765493 dblp:conf/nanoarch/MohanramYRLB12 fatcat:7ilr2fdt6zelzabynap4gwuv3e

Real-Time Implementation of Sliding Mode Control Technique for Two-DOF Industrial Robotic Arm

2018 Journal of the Institute of Science and Technology  
For real-time trajectory tracking control, the classical proportional-integralderivative (PID) control and the nonlinear Sliding Mode Control techniques have been considered.  ...  This study presents a real-time implementation of the angle trajectory tracking control for the two DOF industrial robotic manipulators.  ...  and ( ) can be expressed given as below. ( ) { } (15) Thus, the total feedback SMC control law ( ) for the system is written as follows; is the switching gain matrix and where, is a positive constant  ... 
doi:10.21597/jist.396344 fatcat:cmhbd2tsdnayjc6kl4xxq54hye

Application of Genetic Algorithm for Tuning of Reduced Ordered Robust PID Controller and Computer Simulations

Muhammad Ejaz
2012 International Journal of Computer Applications  
Robust controllers designed via H ∞ Loop Shaping are complicated and are of order higher than that of the plant.  ...  To overcome this problem, Genetic Algorithm is used to approximate a robust PID controller from H ∞ Loop Shaping controller so that the difficulties in implementation of higher order controller can be  ...  The normalized co-prime factor uncertainty has close relationships with the type of uncertainty captured by gain and phase margins for single loop feedback systems, for example requiring gain margin of  ... 
doi:10.5120/5784-7742 fatcat:uqccyokhrnhypj2d3wabd3czau

Minimal-model for robust control design of large-scale hydraulic machines

Michael Ruderman
2018 2018 IEEE 15th International Workshop on Advanced Motion Control (AMC)  
The total system gain, non-negligible input dead-zone, and aggregated phase lag are identified from the simple openloop experiments.  ...  Based thereupon, the robust feedback position regulator is designed and extended by the velocity feed-forwarding.  ...  Recall that both multiplied gains determine the crossover frequency of open-loop, which is characteristical for stability analysis based on the phase and gain margins, see e.g. in [24] .  ... 
doi:10.1109/amc.2019.8371125 dblp:conf/amc/Ruderman18 fatcat:twbsgclofnbgrcw7zsitl6yc24

Analyzing control system robustness

D. Simon
2002 IEEE potentials  
A control system designer (and the designer's manager and customer) may have nagging doubts about how much the real system can depart from the model before the control system performance fails to meet  ...  When an engineer designs a control system, the design is usually based on some mathematical model for the system to be controlled. However, the system model is only an approximation.  ...  The Nyquist criterion can be used to determine stability robustness to unmodelled gain and phase shifts.  ... 
doi:10.1109/45.985322 fatcat:pi56knltq5ekdoylcftysvafcy

Enhanced IMC-based Load Disturbance Rejection Design for Integrating Processes with Slow Dynamics

Tao liu, Furong Gao
2010 IFAC Proceedings Volumes  
rejection, and can be monotonically tuned to meet a trade-off between disturbance rejection performance and closed-loop robust stability.  ...  Robust tuning constraints are given correspondingly to accommodate for process uncertainties. An illustrative example is given to show the effectiveness and merits of the proposed method.  ...  alternative 2DOF IMC scheme in terms of user-specified gain and phase-margin specifications.  ... 
doi:10.3182/20100705-3-be-2011.00012 fatcat:yfevgzvgyvcs3eqzzdlvm5okti

Fiber laser based hydrophone systems

Asrul Izam Azmi, Ian Leung, Xiaobao Chen, Shaoling Zhou, Qing Zhu, Kan Gao, Paul Childs, Gangding Peng
2011 Photonic Sensors  
Some issues related to sensitivity, such as fiber laser phase condition, demodulation, and packaging, are also discussed.  ...  With the development of appropriate digital signal processing (DSP) techniques and packaging designs, an interferometric-type distributed feedback (DFB) fiber laser hydrophone system with acoustic sensitivity  ...  , and robustness for handling during deployment and recovery.  ... 
doi:10.1007/s13320-011-0018-3 fatcat:6qnyajjo4rg4veaf2rhig2algq

Robustness evaluation of a flexible aircraft control system

1993 Journal of Guidance Control and Dynamics  
Stability margins are computed for simultaneous gain and phase uncertainty in each of the control system feedback loops.  ...  The structured singular value technique can be used to measure stability robustness to gain and/or phase variations occurring simultaneously in all feedback loops.  ... 
doi:10.2514/3.21046 fatcat:pv7lnrbswvawdc5hzyhczymnua
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