{"title":"Duopoly pricing game in networks with local coordination effects","authors":"Arastoo Fazeli, A. Jadbabaie","doi":"10.1109/CDC.2012.6426205","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426205","url":null,"abstract":"In this paper, we study a duopoly pricing problem in which two firms compete for selling two products in a network. Our proposed model consists of two stages. In the first stage, firms set the price they charge agents for their product and the quality of the product they offer. For agents, the quality of the product can be interpreted as the payoff of a local coordination game played among them in the network. In the second stage, agents in the network decide what fraction of these two products to purchase. We first characterize the Nash equilibrium of the game played among agents in the network. We show that agents' actions in the Nash equilibrium consist of two terms, one of which is proportional to the agents' centrality in the network. Conditioned on agents playing the equilibrium policy, we find the Nash equilibrium of the pricing game played between firms. We show that even when firms are similar and offer a uniform price for agents, their Nash equilibrium price depends on the network structure.We then analyze sensitivity of the agents' consumption with respect to the price and quality of the product. We finally show that depending on a firm's opponent's price and quality, the optimal price of a firm can be higher, equal or less than the monopoly optimal price.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"44 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":"128721634","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":"Uncertainty in the energy dynamics of commercial office buildings","authors":"Bryan A. Eisenhower, I. Mezić","doi":"10.1109/CDC.2012.6426379","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426379","url":null,"abstract":"Whole-building energy models take information about the structure of a building, its equipment (electrical loads, lights, conditioning equipment, etc.), and disturbances (people, weather) and predict its year long comfort and energy performance. Both commercial and freely available tools are available for performing these time-domain simulations, which are used for design trade studies and more frequently to check for energy consumption and comfort compliance. These models require hundreds of assumptions as input when it comes to parameterizing the building model. Previous studies have investigated how predictions are influenced by these assumptions and which of the parameters are critical to year-long calculations. In this paper we extend this approach to investigate how parametric uncertainty influences uncertainty in the energy dynamics within a building. We provide a case study that investigates an office building by extracting dynamic information out of an EnergyPlus model, and supplies this information to an automatically generated analytical thermal network model. We conclude with a control-oriented frequency-based robustness assessment as well as a study of how uncertainty influences the network structure of the building by investigating the spectral gap of its graph Laplacian.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"28 22 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":"128285179","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":"Semistability-based robust and optimal control design for network systems","authors":"Qing Hui, Zhenyi Liu","doi":"10.1109/CDC.2012.6426328","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426328","url":null,"abstract":"In this paper, we present a new Linear-Quadratic Semistabilizers (LQS) theory for linear network systems. This new semistable ℌ2 control framework is developed to address the robust and optimal semistable control issues of network systems while preserving network topology subject to white noise. Two new notions of semistabilizability and semicontrollability are introduced as a means to connecting semistability with the Lyapunov equation based technique.With these new notions, we first develop a semistable ℌ2 control theory for network systems by exploiting the properties of semistability. A new series of necessary and sufficient conditions for semistability of the closed-loop system have been derived in terms of the Lyapunov equation. Based on these results, we propose a constrained optimization technique to solve the semistable ℌ2 network-topology-preserving control design for network systems. Then optimization analysis and the development of numerical algorithms for the obtained constrained optimization problem are conducted. We establish the existence of optimal solutions for the obtained nonconvex optimization problem. Next, we propose a swarm optimization based numerical algorithm towards efficiently solving this nonconvex, nonlinear optimization problem due to the strong resemblance between swarm behaviors in nature and the notion of semistability. Finally, several numerical examples will be provided to illustrate the effectiveness of the proposed method.","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":"129069959","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 example of thermal regulation of a two dimensional non-isothermal incompressible flow","authors":"E. Aulisa, J. Burns, D. Gilliam","doi":"10.1109/CDC.2012.6426903","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426903","url":null,"abstract":"In this paper we consider a tracking/disturbance rejection problem for a nonlinear infinite dimensional control system using boundary control and sensing. The controlled plant consists of a two dimensional Boussinesq approximation of the non-isothermal incompressible Navier-Stokes equations in a box region. The signal to be tracked and disturbance (which enters as a forcing term on the boundary of the region) are time dependent periodic step functions. While the method described in this work is based on the geometric theory of output regulation, the usual assumptions for that theory do not apply. Nevertheless, we show that the regulator equations used to design the control laws for the geometric methodology can be adapted to handle this case, as an extension of a set point tracking problem. The objective in this example is to force the average temperature on an internal boundary to track a prescribed reference signal, while rejecting a disturbance given as a hot surface on a portion of the boundary. The methodology used in this work provides an example of the design and then discretize methodology as opposed to the usual discretize and then design philosophy.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"13 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":"129536463","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}
G. S. Deaecto, J. Geromel, L. Galbusera, P. Bolzern
{"title":"Extended Small Gain Theorem with application to time-delay switched linear systems","authors":"G. S. Deaecto, J. Geromel, L. Galbusera, P. Bolzern","doi":"10.1109/CDC.2012.6427114","DOIUrl":"https://doi.org/10.1109/CDC.2012.6427114","url":null,"abstract":"This paper generalizes the Small Gain Theorem - SGT to cope with time-delay switched linear systems. The main purpose is to obtain delay-dependent stability conditions that can be imposed by means of an appropriate switching strategy. Both cases of switching strategies corresponding to state and output feedback are considered. The new version of SGT is specially important in the framework of switched linear systems because it allows robustness analysis with respect to parameter or frequency domain uncertainty arising in ℋ∞ control problems and constant time-delay modeling. Since only sufficient conditions are given, the conservativeness of the final results is evaluated in terms of the gain promoted by the switching strategy, exclusively. The theory is illustrated by means of academic examples.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"9 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":"129582498","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":"Conditional integrator for non-minimum phase nonlinear systems","authors":"Ranran Li, H. Khalil","doi":"10.1109/CDC.2012.6426598","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426598","url":null,"abstract":"In this paper we propose a conditional integrator for solving the regulation problem of a class of nonlinear systems that probably possess unstable zero dynamics. The control scheme mainly takes advantage of the auxiliary controller proposed in [3] and a slow integrator. We present that the solution of the regulation problem can be cast as two auxiliary problems. Furthermore it is shown that the design of the conditional integrator requires the design of a feedback control that solves two stabilization problems simultaneously, one inside the boundary layer of a continuously-implemented sliding model control, and one outside it. Hence the design of the auxiliary controller can be independent of the internal model. We approach this issue by using a two-time-scale method. The effectiveness of the controller is illustrated through a linear example.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"41 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":"130538424","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}
A. Schirru, Gian Antonio Susto, S. Pampuri, S. McLoone
{"title":"Learning from time series: Supervised Aggregative Feature Extraction","authors":"A. Schirru, Gian Antonio Susto, S. Pampuri, S. McLoone","doi":"10.1109/CDC.2012.6427042","DOIUrl":"https://doi.org/10.1109/CDC.2012.6427042","url":null,"abstract":"Many modeling problems require to estimate a scalar output from one or more time series. Such problems are usually tackled by extracting a fixed number of features from the time series (like their statistical moments), with a consequent loss in information that leads to suboptimal predictive models. Moreover, feature extraction techniques usually make assumptions that are not met by real world settings (e.g. uniformly sampled time series of constant length), and fail to deliver a thorough methodology to deal with noisy data. In this paper a methodology based on functional learning is proposed to overcome the aforementioned problems; the proposed Supervised Aggregative Feature Extraction (SAFE) approach allows to derive continuous, smooth estimates of time series data (yielding aggregate local information), while simultaneously estimating a continuous shape function yielding optimal predictions. The SAFE paradigm enjoys several properties like closed form solution, incorporation of first and second order derivative information into the regressor matrix, interpretability of the generated functional predictor and the possibility to exploit Reproducing Kernel Hilbert Spaces setting to yield nonlinear predictive models. Simulation studies are provided to highlight the strengths of the new methodology w.r.t. standard unsupervised feature selection approaches.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"18 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":"126840739","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}
Ioannis Filippidis, Dimos V. Dimarogonas, K. Kyriakopoulos
{"title":"Decentralized multi-agent control from local LTL specifications","authors":"Ioannis Filippidis, Dimos V. Dimarogonas, K. Kyriakopoulos","doi":"10.1109/CDC.2012.6426027","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426027","url":null,"abstract":"We propose a methodology for decentralized multi-agent control from Linear Temporal Logic (LTL) specifications. Each agent receives an independent specification to formally synthesize its own hybrid controller. Mutual satisfiability is not a priori guaranteed. Due to limited communication, the agents utilize meeting events to exchange their controller automata and verify satisfiability through model checking. Local interaction only when common atomic propositions exist reduces the overall computational cost, facilitating scalability. Provably correct collision avoidance and convergence is ensured by Decentralized Multi-Agent Navigation Functions.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"68 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":"129104221","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":"Generalized sensitivity decoupling for dual-stage servo systems","authors":"C. Kinney, M. Weng, Turguy Goker","doi":"10.1109/CDC.2012.6426261","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426261","url":null,"abstract":"In this paper, we present a new method for designing a dual-stage compensator. Sensitivity decoupling, decoupling the output sensitivity into the product of two sensitivities, is used as the starting point. This paper extends the idea of sensitivity decoupling so that optimization methods can be used to adjust the closed loop responses of the system while maintaining a pre-specified output sensitivity function. The set of all sensitivity decoupling controllers is derived by using the Youla parameterization and this set is used to formulate an optimization problem to shape the closed loop response of the system. A design example shows how decoupling can be maintained while changing the other system responses.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"18 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":"129122520","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":"Practical relative degree in black-box control","authors":"A. Levant","doi":"10.1109/CDC.2012.6427040","DOIUrl":"https://doi.org/10.1109/CDC.2012.6427040","url":null,"abstract":"The notion of practical relative degree is proposed, which generalizes the standard relative-degree notion for the cases of uncertain systems lacking a reliable mathematical model. Practical output regulation is ensured. Computer simulation and practical results confirm the theoretical approach.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"4 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":"130647124","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}