{"title":"Stochastic analysis of genetic feedback circuit controlling HIV cell-fate decision","authors":"Abhyudai Singh","doi":"10.1109/CDC.2012.6425836","DOIUrl":"https://doi.org/10.1109/CDC.2012.6425836","url":null,"abstract":"After infecting a CD4+ T cell, Human Immunodeficiency Virus (HIV) can either replicate and kill the cell or enter latency, a dormant state of the virus where viral gene-expression is turned OFF. Experimental work has shown that a genetic positive feedback circuit under the control of a key HIV regulatory protein, Tat, critically influences this cell fate decision between viral replication and latency. Here, we build and analyze a stochastic model of this genetic feedback circuit. Interestingly, although the deterministic model of this circuit lacks bistability, the stochastic model can exhibit bimodal distributions of Tat levels. The modes of this bimodal distribution correspond to an ON (high Tat level) and OFF (low Tat level) state of the circuit and can be interpreted as different fates of the infected cell. For the proposed stochastic model, we find regions of the parameter space where this genetic feedback circuit exhibits unimodal and bimodal distributions of Tat levels. Our analysis predicts that in physiologically relevant parameter regimes the Tat feedback circuit will exhibit bimodality, consistent with experimental observations. In summary, results presented here provide important insights into the functioning of this essential HIV feedback circuit and shows how circuit parameters can be perturbed to bias the viral cell fate decision at the single-cell level.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125432828","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Effect of various uncertainties on the performance of occupancy-based optimal control of HVAC zones","authors":"Siddharth Goyal, H. Ingley, P. Barooah","doi":"10.1109/CDC.2012.6426111","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426111","url":null,"abstract":"Model Predictive Control (MPC) has emerged as a potential control architecture for operating buildings in a more energy efficient manner. We study through simulations the effect of several sources of uncertainty that arise in the implementation of MPC on the energy consumption, thermal comfort, and indoor air quality (IAQ). These include occupancy profile, measurement errors and mismatch between the plant and its model that the control algorithm uses. Simulations are carried out for two extreme cases: a winter day with no solar load and a summer day with high solar load. The study shows that increasing fluctuations in occupancy, errors in measuring occupancy, and model mismatch have the strongest impact on the energy consumption. However, measurement errors in outside temperature and solar load does not have significant impact. Therefore, it is possible to improve the controller performance by using more accurate occupancy sensors. Furthermore, implementation cost can also be reduced by eliminating the sensors and prediction algorithms for predicting outside temperature and thermal loads without compromising the controller performance. Even with these uncertainties, MPC delivers 12-37% reduction of energy use over conventional control methods without affecting thermal comfort and IAQ.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126601188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A note on disturbance observer with unknown relative degree of the plant","authors":"N. Jo, Youngjun Joo, H. Shim, Y. Son","doi":"10.1109/CDC.2012.6426142","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426142","url":null,"abstract":"The disturbance observer (DOB)-based controller has been widely applied to real applications since it is able to recover, in spite of plant uncertainties and input disturbances, the performance of the nominal system. In this paper, we study robust stability of the DOB control system when the relative degree of the plant P is greater than or equal to that of nominal model Pn. Based on the standing assumption that the bandwidth of the Q-filter is sufficiently large, our study reveals the following: (1) If the relative degree difference is equal to one, then robust stabilization can be achieved by careful selection of the Q-filter and Pn. (2) If the relative degree difference is greater than one, then robust stabilization is not possible no matter how Q-filter and Pn are chosen.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115347291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Scalable positivity preserving model reduction using linear energy functions","authors":"Aivar Sootla, A. Rantzer","doi":"10.1109/CDC.2012.6427032","DOIUrl":"https://doi.org/10.1109/CDC.2012.6427032","url":null,"abstract":"In this paper, we explore positivity preserving model reduction. The reduction is performed by truncating the states of the original system without balancing in the classical sense. This may result in conservatism, however, this way the physical meaning of the individual states is preserved. The reduced order models can be obtained using simple matrix operations or using distributed optimization methods. Therefore, the developed algorithms can be applied to sparse large-scale systems.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115593406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"State estimation over a lossy network using linear temporal coding","authors":"Lidong He, Dongfang Han, Xiaofan Wang, Ling Shi","doi":"10.1109/CDC.2012.6426825","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426825","url":null,"abstract":"We consider state estimation for a discrete-time system over a lossy network. In order to improve the estimation performance, different from the standard approach of sending the current measurement data, we choose sending a linear combination of the current measurement and the measurement collected at the previous time, a method called linear temporal coding. We consider the case when the packet arrival sequence is unknown. In an effort to cope with colored noise caused by measurement combination, after comparing with the classic state augmentation approach and measurement differencing approach, we derive a recursive estimation algorithm by means of orthogonal projection principle and innovation sequence approach. Our algorithm consists of two parts: smooth and estimate. Numerical example shows the benefit of using linear temporal coding strategy, compared with directly sending the current data.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116454918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A travelling salesman problem for a class of heterogeneous multi-vehicle systems","authors":"E. Garone, J. Determe, R. Naldi","doi":"10.1109/CDC.2012.6426488","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426488","url":null,"abstract":"In this work we formulate and study a Travelling Salesman Problem (TSP) for a scenario in which two different vehicles cooperate so as to perform a desired task in an optimal way. In particular we consider the problem where a fast vehicle with a short operative range has to be coordinated with a carrier vehicle, typically slower but with virtually infinite operativity range, in order to visit in the shortest time a given collection of points.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"255 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122571617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the optimal trajectory generation for servomotors: A Hamiltonian approach","authors":"Yebin Wang, Koichiro Ueda, S. Bortoff","doi":"10.1109/CDC.2012.6426478","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426478","url":null,"abstract":"This note considers the energy optimal trajectory generation of servo systems through open-loop optimal control design approach. Solving the exact optimal solution is challenging because of the nonlinear and switching cost function, and various constraints. The minimum principle is applied to establish piecewise necessary optimality conditions. An approximate optimal control is proposed to circumvent the difficulty due to the nonlinearity of the cost function. Simulation is performed to illustrate the generation of the approximate optimal trajectory.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"128 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122678130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
W. Caharija, K. Pettersen, J. Gravdahl, E. Børhaug
{"title":"Path following of underactuated autonomous underwater vehicles in the presence of ocean currents","authors":"W. Caharija, K. Pettersen, J. Gravdahl, E. Børhaug","doi":"10.1109/CDC.2012.6427007","DOIUrl":"https://doi.org/10.1109/CDC.2012.6427007","url":null,"abstract":"A control strategy allowing underactuated underwater vehicles to accomplish 3D straight line path following tasks in the presence of ocean currents is developed. The ocean current is considered constant, irrotational and acting in any direction of the inertial frame. The control technique is based on a modified three-dimensional Line-of-Sight (LOS) guidance law with two integrators and three feedback controllers. The integral effect is introduced to successfully counteract the drifting caused by the unknown current. The integration laws are chosen to reduce the risk of wind-up effects. Furthermore, due to the irrotational nature of the ocean current, it is seen that the vehicle dynamics can be defined in terms of relative velocities only. This significantly simplifies the control system compared to approaches based on absolute velocities, and as a result no adaption laws are required. Uniform global asymptotic stability and uniform local exponential stability for the closed loop system are proven and explicit bounds on the guidance law parameters are given.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122808584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A control systems approach to HIV prevention with impulsive control input","authors":"Hyeygjeon Chang, C. Moog, A. Astolfi","doi":"10.1109/CDC.2012.6426853","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426853","url":null,"abstract":"We investigate a control method for HIV dynamics to boost the immune response using a model-based approach. The idea of impulsive control is discussed using a mathematical model. The HIV dynamic model includes the pharmacokinetics and pharmacodynamics of antiretroviral drugs. Consequently, the dosage of drugs are the control inputs. As they are administrated at discrete time instants this naturally yields an impulsive control problem for a nonlinear continuous-time system. Exploiting this model we emulate recently reported clinical experiments via numerical simulation and analyse the experimental results. It is noted that this modeling approach can help to provide a theoretical explanation of the clinical result. Throughout this paper it is pointed out that the protocol of the experiment could imply the enhancement of the immune response against HIV.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122819910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An invariance principle for time-varying systems","authors":"E. J. Hancock, A. Papachristodoulou","doi":"10.1109/CDC.2012.6426537","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426537","url":null,"abstract":"In this paper we propose an invariance principle for time-varying dynamical systems. We first present a novel proof of the Krasovskii-Lasalle invariance principle for forward time using invariance properties of regions of attraction, rather than the invariance property of the limit set. We then propose an invariance principle for bounded time-varying systems, in the spirit of the classical result, by using the Lasalle-Yoshizawa theorem and a uniformity condition. The simple, practical use of the theorem is shown using an example of a pendulum with time-varying parameters.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122836801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}