{"title":"Asymptotic stability of saddle points under the saddle-point dynamics","authors":"A. Cherukuri, J. Cortés","doi":"10.1109/ACC.2015.7171030","DOIUrl":"https://doi.org/10.1109/ACC.2015.7171030","url":null,"abstract":"This paper considers continuously differentiable functions of two vector variables that have (possibly a continuum of) min-max saddle points. We study the asymptotic convergence properties of the associated saddle-point dynamics (gradient-descent in the first variable and gradient-ascent in the second one). We identify a suite of complementary conditions under which the set of saddle points is asymptotically stable under the saddle-point dynamics. Our first set of results is based on the convexity-concavity of the function defining the saddle-point dynamics to establish the convergence guarantees. For functions that do not enjoy this feature, our second set of results relies on properties of the linearization of the dynamics and the function along the proximal normals to the saddle set. We also provide global versions of the asymptotic convergence results. Various examples illustrate our discussion.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130097699","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 hybrid model predictive control scheme for energy and cost savings in commercial buildings: Simulation and experiment","authors":"Hao Huang, Lei Chen, E. Hu","doi":"10.1109/ACC.2015.7170745","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170745","url":null,"abstract":"This paper presents a hybrid model predictive control (MPC) scheme for energy-saving control in commercial buildings. The proposed method combines a linear MPC with a neural network feedback linearisation (NNFL) method. The control model for the linear MPC is developed using a simplified physical model, while nonlinearities associated with the building system are handled by an affine recurrent neural network (ARNN) model through system feedback. The proposed MPC integrates several advanced air-conditioning control strategies, such as an economizer control, an optimal start-stop control, and a pre-cooling control. The developed MPC has been tested in the check-in hall of T-1 building, Adelaide Airport, through both simulation and field experiment. The result shows that the proposed control scheme can achieve a considerable amount of savings without violating occupants' thermal comfort.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130478610","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 constraint transformation technique in Petri nets with backward-conflict-free uncontrollable structures","authors":"Ziyue Ma, Zhiwu Li, A. Giua","doi":"10.1109/ACC.2015.7170763","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170763","url":null,"abstract":"In this paper we study the problem of constraint transformation for Petri nets. We consider a special class of systems in which the uncontrollable subnet is backward-conflict-free, and a new special class of GMECs called singular GMECs. We propose an algorithm to transform a given uncontrollable singular GMEC into an equivalent controllable OR-GMEC. The algorithm is based on the composition technique of GMECs.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134270731","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":"Offset-free Energy-optimal Model Predictive Control for point-to-point motions","authors":"Xin Wang, J. Swevers","doi":"10.1109/ACC.2015.7170744","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170744","url":null,"abstract":"This paper discusses Offset-free Energy-optimal Model Predictive Control (offset-free EOMPC) which is a MPC algorithm to realize time-constrained energy-optimal point-to-point motion control with high positioning accuracy for linear time-invariant (LTI) systems. The offset-free EOMPC approach is developed based on our previous research - Energy-optimal Model Predictive Control (EOMPC) - which aims at performing energy-optimal point-to-point motions within a given motion time. A drawback of the EOMPC method is that it cannot achieve high positioning accuracy in the presence of unmodelled disturbances or model-plant mismatch. In order to cope with this problem, a `disturbance model' strategy is adopted: the system state is augmented with disturbance variables. Based on the `disturbance model', the disturbances are estimated and the effects of which are cancelled. Experimental validation of the offset-free EOMPC on a linear motor with coulomb friction and cogging disturbances has been implemented and the results show that time-constrained energy-optimal point-to-point motion with high positioning accuracy is achieved.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134590161","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}
Meysam Razmara, G. Bharati, M. Shahbakhti, S. Paudyal, R. Robinett
{"title":"Bidirectional optimal operation of smart building-to-grid systems","authors":"Meysam Razmara, G. Bharati, M. Shahbakhti, S. Paudyal, R. Robinett","doi":"10.1109/ACC.2015.7170750","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170750","url":null,"abstract":"This paper proposes a novel bidirectional optimization of buildings integrated to the smart distribution grid, which possess potential benefits to the customers and utilities both. Mathematical models required for the optimal operations of buildings and grids are developed and a new method is proposed to obtain the solution of the bidirectional optimization. In this work, minimization of the cost of energy is chosen as an objective for the building load management, while the distribution utilities aim to increase load penetration by maximizing the load factor. Case studies are carried out based on actual data collected from an office building at Michigan Technological University, and using a standard distribution test feeder. Studies demonstrate that the proposed bidirectional optimization is beneficial to both the customer and the distribution grid as it shows significant saving in the energy costs and improvement on the system load factor.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134283666","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}
Teng-Hu Cheng, Z. Kan, Justin R. Klotz, J. Shea, W. Dixon
{"title":"Decentralized event-triggered control of networked systems-part 2: Containment control","authors":"Teng-Hu Cheng, Z. Kan, Justin R. Klotz, J. Shea, W. Dixon","doi":"10.1109/ACC.2015.7172191","DOIUrl":"https://doi.org/10.1109/ACC.2015.7172191","url":null,"abstract":"A decentralized event-triggered control scheme is developed for the containment control problem. An estimate-based decentralized controller is designed for each agent so that it is only required to communicate with neighboring agents at discrete event times. These events are determined by a decentralized trigger function that only requires local information. Different from conventional strategies, the developed control approach does not require continuous communication with local neighboring follower agents for state feedback, reducing communication bandwidth. The event-triggered approach is facilitated by developing a positive constant lower bound on the inter-event interval, which indicates Zeno behavior is avoided. A Lyapunov-based convergence analysis is provided to indicate asymptotic convergence of the developed strategy.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134365198","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 LQ control based actuator failure compensation scheme for possibly nonminimum phase systems","authors":"Liyan Wen, G. Tao, Hao Yang","doi":"10.1109/ACC.2015.7171184","DOIUrl":"https://doi.org/10.1109/ACC.2015.7171184","url":null,"abstract":"In this paper, an LQ control based actuator failure compensation control scheme is developed for possibly nonminimum phase systems with actuator failures. The failure compensation control problem is formulated as a new LQ control problem for systems with failure disturbances. A new disturbance rejection problem for systems with unmatched disturbances is solved through an LQ based control algorithm to ensure the maximum reduction of the disturbance effect on the system output. New controller structures and design conditions are derived using dynamic programming in the presence of actuator failures, and state feedback and observer-based feedback designs are presented. Simulation results are presented to verify the desired control system performance in the presence of actuator failures.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131754382","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":"Unscented guidance","authors":"I. Michael Ross, R. Proulx, M. Karpenko","doi":"10.1109/ACC.2015.7172217","DOIUrl":"https://doi.org/10.1109/ACC.2015.7172217","url":null,"abstract":"Unscented guidance combines the concept of the unscented transform with standard optimal control theory to produce an open-loop method to manage uncertainties in nonlinear dynamical systems. The theoretical foundations for this concept can be framed in terms of a low-order semi-discretization of a Lebesgue-Stieltjes optimal control problem. A Zermelo problem subject to parameter uncertainties is used to quantitatively demonstrate the substantial reductions in target error statistics (95% in mean and 70% in the trace of the covariance) through the use of unscented guidance. These ideas generate a tractable approach for solving chance-constrained optimal control problems.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127579699","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":"Temperature-dependent multiscale-dynamics in Lithium-ion battery electrochemical models","authors":"H. Arunachalam, S. Onori, I. Battiato","doi":"10.1109/ACC.2015.7170753","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170753","url":null,"abstract":"In a Lithium-ion battery, the relative importance between the three microscale transport processes, i.e. diffusion, electromigration and heterogeneous reaction, can be quantified using the dimensionless Electric Péclet (Pe) and Damköhler (Da) numbers. By means of homogenization technique, we upscale the pore-scale Poisson-Nernst-Planck equation to the macroscopic scale and formulate a phase diagram in the (Da,Pe)-space that identifies the applicability conditions under which isothermal electrochemical macroscopic models provide an accurate description of the micro-scale dynamics [1]. In this work, we focus on the effect of temperature on macroscale (Newman-type) models' accuracy for a number of commercially available lithium-ion batteries. We show that macroscopic models are able to accurately represent pore-scale dynamics only within specific temperature bounds and their veracity is strongly controlled by the battery operating temperature conditions.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"88 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130755402","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}
P. Gallagher, Stefan Gunnsteinsson, Alan Morse, M. Gevelber
{"title":"Airflow system identification analysis for optimizing commercial building VAV settings for improved energy efficiency","authors":"P. Gallagher, Stefan Gunnsteinsson, Alan Morse, M. Gevelber","doi":"10.1109/ACC.2015.7170748","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170748","url":null,"abstract":"The paper presents a system identification method that can determine individual room air change rates in commercial building HVAC systems. This is achieved by utilizing a combined low order model based on the room's thermal dynamics and experimental approach. The low order model is shown to capture the dominant dynamics of the room air temperature response. This method can help enable significant building energy use reduction by reassessing the air flow rates needed for each room in a building.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130770086","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}