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Joint state and event observers for linear switching systems under irregular sampling

Le Yi Wang, Wei Feng, G. George Yin
2013 Automatica  
Joint estimation of states and events in linear regime-switching systems is studied under irregular sampling schemes which stem from improved sampling and quantization methods for efficient utility of  ...  Observer design and convergence analysis are conducted for systems under noisy observations. It is shown that our algorithms converge strongly with error bound of the order O(1/N ).  ...  The work of the authors was supported in part by the Air Force Office of Scientific Research under FA9550-10-1-0210.  ... 
doi:10.1016/j.automatica.2013.01.013 fatcat:4qmzlsacdjem5eu6nsuwfnpoyu

State and event estimation for regime-switching systems under irregular and random sampling schemes

Wei Feng, Leyi Wang
2012 Communications in Information and Systems  
Estimation of states and events in randomly switching systems is studied under irregular and random sampling schemes.  ...  This paper investigates estimation of states and events in randomly switching systems under various sampling schemes.  ...  State Estimation and Sampling Complexity for Unobservable Sub- systems. Enhancement of Observability by Regime Switching.  ... 
doi:10.4310/cis.2012.v12.n1.a2 fatcat:yjigxy3b4bbtzjgaoac2sjq52e

2011 Index IEEE Transactions on Automatic Control Vol. 56

2011 IEEE Transactions on Automatic Control  
., +, TAC Sept. 2011 2073-2086 State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations. Wang, L.  ...  ., +, TAC Dec. 2011 2778-2792 Information theory State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations. Wang, L.  ...  ., +, Poles and zeros Computation of the General -Lossless Factorization.  ... 
doi:10.1109/tac.2011.2179989 fatcat:6qqqyveptjhjngqqzclzq7cxym

State space models for non‐stationary intermittently coupled systems: an application to the North Atlantic oscillation

Philip G. Sansom, Daniel B. Williamson, David B. Stephenson
2019 Journal of the Royal Statistical Society, Series C: Applied Statistics  
We propose methods for quantifying the component of variance attributable to an unobserved process, the effect during individual coupling events and the potential for skilful forecasts.  ...  We develop Bayesian state space methods for modelling changes to the mean level or temporal correlation structure of an observed time series due to intermittent coupling with an unobserved process.  ...  We also thank two reviewers and the Associate Editor for their helpful comments.  ... 
doi:10.1111/rssc.12354 fatcat:ocjqr6mnwjbnfewu62rj3fwl6q

State space models for non-stationary intermittently coupled systems: an application to the North Atlantic Oscillation [article]

Philip G. Sansom, and Daniel B. Williamson, David B. Stephenson
2019 arXiv   pre-print
We propose methods for quantifying the component of variance attributable to an unobserved process, the effect during individual coupling events, and the potential for skilful forecasts.  ...  We develop Bayesian state space methods for modelling changes to the mean level or temporal correlation structure of an observed time series due to intermittent coupling with an unobserved process.  ...  Since the other components of the evolution function g(θ t−1 , w t ) are linear and the observation errors v t and joint state evolution process w t are normal, forward-filtering and backward-sampling  ... 
arXiv:1711.04135v3 fatcat:7dzbxptu2raixgfom4fdzxqgjy

Segmenting Hybrid Trajectories using Latent ODEs [article]

Ruian Shi, Quaid Morris
2021 arXiv   pre-print
Latent ODEs allow for powerful representation of irregularly sampled time series but are not designed to capture trajectories arising from hybrid systems.  ...  Smooth dynamics interrupted by discontinuities are known as hybrid systems and arise commonly in nature.  ...  Acknowledgements We thank Tianxing Li and David Duvenaud for their helpful feedback and preliminary reviewing.  ... 
arXiv:2105.03835v2 fatcat:7xiw3azxuzeftcbfdulkohqfei

Discretisation & control of irregularly actuated and sampled LTI systems

Christian Klauer, Thomas Schauer
2014 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR)  
Motivated by control tasks in neuro-prosthetic systems, a method for the exact discretisation of continuoustime LTI systems in presence of irregular actuation and sampling times is presented.  ...  In this approach, sequences for the desired sampling and actuation times form additional inputs to the discrete-time systems.  ...  Conclusions and Outlook A method for the time-discretisation of continuous systems under variable actuation and sampling times is presented and analytically evaluated yielding discrete-time state-space  ... 
doi:10.1109/mmar.2014.6957394 dblp:conf/mmar/KlauerS14 fatcat:zfxzmoywpfe77bjglorm2vdltu

Identification of Gait Phases with Neural Networks for Smooth Transparent Control of a Lower Limb Exoskeleton [article]

Vittorio Lippi and Cristian Camardella and Alessandro Filippeschi and Francesco Porcini
2021 arXiv   pre-print
Such a segmentation system can be implemented as linear regression and should be personalized for the user after a calibration procedure.  ...  Gait dynamics, in particular, implies a change in the configuration of the device in terms of contact points, actuation, and system dynamics in general.  ...  Most of the control systems available at the state of the art, e.g (Kazerooni et al., 2005; Yang et al., 2009; Yan et al., 2015; Tagliamonte et al., 2013; He and Kiguchi, 2007) , manage the switching  ... 
arXiv:2107.03746v1 fatcat:tzwdugrawbh2hiix3kubrzzuny

Split-time method for estimation of probability of capsizing caused by pure loss of stability

Vadim Belenky, Kenneth Weems, Woei-Min Lin
2016 Ocean Engineering  
The paper reviews a multi-year research effort for using the split-time method to calculate the probability of ship capsizing due to pure loss of stability in irregular waves.  ...  A metric of the likelihood of capsizing has been defined as the difference between the observed and critical roll rate at the instances of upcrossing.  ...  ACKNOWLEDGEMENTS The work described in this paper has been funded by the Office of Naval Research, under Dr. Patrick Purtell, Dr. Ki-Han Kim, and Dr. Thomas Fu.  ... 
doi:10.1016/j.oceaneng.2016.04.011 fatcat:6r6sfzwcojgopjzh4wqj73b4ii

Forecasting exchange rates: The multi-state Markov-switching model with smoothing

Chunming Yuan
2011 International Review of Economics and Finance  
This paper presents an exchange rate forecasting model that outperforms a random walk at short horizons and appears to be robust over different sample spans.  ...  rates and thus are incapable of outforecasting the random walk.  ...  In terms of the Markov-switching model, the last observation of the sample used for estimation, is of particularly importance for out-of-sample forecast since it provides the latest information for updating  ... 
doi:10.1016/j.iref.2010.09.002 fatcat:jyxkre47cbhetmwbj6ejrsztou

The structured flow on the brain's resting state manifold [article]

Jan Fousek, Giovanni Rabuffo, Kashyap Gudibanda, Hiba Sheheitli, Viktor Jirsa, Spase Petkoski
2022 bioRxiv   pre-print
The understanding of the brain's resting state manifold is fundamental for the construction of task-specific flows and manifolds used in theories of brain function such as predictive coding.  ...  Using a combination of computational modeling and dynamical systems analysis we provide a complete mechanistic description in terms of the constituent entities and the productive relation of their causal  ...  To sample the stable fixed points of the system with 𝐺 > 0 we solve repeatedly the system of equations: 0 = Δ 𝜋𝜏 𝑚 + 2𝑟 Linear stability analysis We perform a linear stability analysis to identify  ... 
doi:10.1101/2022.01.03.474841 fatcat:hdlfzmdoobebhnpocwjzivlw4a

Interferometric-Spectroscopy With Quantum-Light; Revealing Out-of-Time-Ordering Correlators [article]

Shahaf Asban and Konstantin E. Dorfman and Shaul Mukamel
2021 arXiv   pre-print
We identify the associated quantum information obtained by controlling the weights of different contributing pathways, and offer several experimental schemes for recovering it.  ...  Nonlinear quantum response functions include out-of-time-ordering matter correlators (OTOC) which reveal how perturbations spread throughout a quantum system (information scrambling).  ...  This stems from the fact that for each path, the joint light-matter system is evolved for different duration, giving rise to the out-of-time-ordering matter correlators (OTOC) and discussed in Sec.  ... 
arXiv:2104.06032v2 fatcat:wteetwkperhhfgv5vy5tm2aaqq

Leakage Current Alleviation in Solar Energy Conversion System Enabling Power Quality Improvement

Priyank Shah, BHIM SINGH
2020 IET Renewable Power Generation  
In contrast to the state-of-the-art techniques, the grid currents are attained sinusoidal and balanced even in the presence of unbalanced non-linear load.  ...  Test results manifest the response of the solar PV array system for various operating conditions and follows the revised IEEE-519-2014 sand VDE-00126-01 standards.  ...  Energy Centre (JUICE) and Joint Indo-US collaborative project SERI-II under Grant Number: RP03195G, RP03391 and RP03357, respectively.  ... 
doi:10.1049/iet-rpg.2019.1492 fatcat:nwzrlmolafeftdedo4ec74cikq

Data-Driven Gait Segmentation for Walking Assistance in a Lower-Limb Assistive Device [article]

Aleksandra Kalinowska, Thomas A. Berrueta, Adam Zoss, Todd Murphey
2019 arXiv   pre-print
We identify contact events, such as heel strike and toe-off, without a contact sensor using only kinematics data from the knee and hip joints, which could be particularly useful in providing online assistance  ...  Little can be predicted about the systems' evolution without modeling the guard conditions that govern transitions between hybrid modes, so even systems with reliable state sensing can be difficult to  ...  Here, we use a simulated SLIP to demonstrate the joint capabilities of NCD and Koopman operators for predicting hybrid mode switching and identifying bimodal dynamics for control.  ... 
arXiv:1903.00036v1 fatcat:rzf25cw4rjfprkbslilgqu2jda

Chaotic Invariants for Human Action Recognition

Saad Ali, Arslan Basharat, Mubarak Shah
2007 2007 IEEE 11th International Conference on Computer Vision  
Trajectories of reference joints are used as the representation of the non-linear dynamical system that is generating the action.  ...  Our contributions in this paper include :1) investigation of the appropriateness of theory of chaotic systems for human action modelling and recognition, 2) a new set of features to characterize nonlinear  ...  level to switch between local linear models to cater for the nonlinear dynamics of human motion.  ... 
doi:10.1109/iccv.2007.4409046 dblp:conf/iccv/AliBS07 fatcat:bxzsz7n6wzemth3kaa6zo53x5q
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