{"title":"On controllability of discrete-time multi-input inhomogeneous bilinear systems without drift","authors":"Lin Tie","doi":"10.1109/ACC.2015.7170917","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170917","url":null,"abstract":"In this paper, we consider the controllability problem of discrete-time multi-input inhomogeneous bilinear systems without drift. We first make some discussions on controllability of the systems. We then focus on a special class of the systems, which can be regarded as the most close to multiinput linear time-invariant systems, and obtain a necessary and sufficient condition for controllability. Finally, we provide an example to demonstrate the results of this paper.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"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":"125888239","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":"Full flux models for optimization and control of heat exchangers","authors":"J. Burns, B. Kramer","doi":"10.1109/ACC.2015.7170797","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170797","url":null,"abstract":"If convection is the dominate mechanism for heat transfer in a heat exchangers, then the devices are often modeled by hyperbolic partial differential equations. One of the difficulties with this approach is that for low (or zero) pipe flows, some of the imperial functions used to model friction can become singular. One way to address low flows is to include the full flux in the model so that the equation becomes a convection-diffusion equation with a “small” diffusion term. We show that solutions of the hyperbolic equation are recovered as limiting (viscosity) solutions of the convection-diffusion model. We employ a composite finite element - finite volume scheme to produce finite dimensional systems for control design. This scheme is known to be unconditionally L2-stable, uniformly with respect to the diffusion term. We present numerical examples to illustrate how the inclusion of a small diffusion term can impact controller design.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"94 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":"125976193","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":"Robust principal component analysis for iterative learning control of precision motion systems with non-repetitive disturbances","authors":"Chung-Yen Lin, Liting Sun, M. Tomizuka","doi":"10.1109/ACC.2015.7171162","DOIUrl":"https://doi.org/10.1109/ACC.2015.7171162","url":null,"abstract":"In precision motion systems, the same desired trajectory may have to be repeatedly followed. In such cases, iterative learning control (ILC) is a useful strategy to improve the tracking performance at every iteration cycle. The fundamental assumption is that the error is due to repetitive disturbances. In practice, however, non-repetitive disturbances may also be present, and non-repetitive and repetitive disturbances may possess common frequency components. If non-repetitive disturbance effects enter the learning loop, the performance of ILC may be degraded. This paper studies the problem of robust ILC in the presence of non-repetitive disturbances. An optimization based time-domain Q-filtering technique is presented to prevent non-repetitive disturbances from entering the ILC learning loop. More precisely, we apply the robust principal component analysis (RPCA) to filter out non-repetitive effects from the error signals. The effectiveness of the proposed method is demonstrated on a laboratory setup to emulate precision motion control stages of a wafer scanner. The method is also applicable to a broad class of precision motion systems.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"45 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":"123245533","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":"Characterization of the moments of a linear system driven by explicit signal generators","authors":"G. Scarciotti, A. Astolfi","doi":"10.1109/ACC.2015.7170799","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170799","url":null,"abstract":"The characterization of the moments of a linear system for “interpolation signals” which do not have an implicit model, i.e. they do not satisfy a differential equation, is considered. Particular attention is devoted to discontinuous, possibly periodic, signals. The notion of moment is reformulated using an integral matrix equation and it is shown that, under specific conditions, the new definition and the one based on the Sylvester equation are equivalent. The results, illustrated by mean of two numerical examples, lay the foundation for the characterization of reduced order models for such a class of input.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"45 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":"123774562","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":"Quantization design for unconstrained distributed optimization","authors":"Ye Pu, M. Zeilinger, C. Jones","doi":"10.1109/ACC.2015.7170901","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170901","url":null,"abstract":"We consider an unconstrained distributed optimization problem and assume that the bit rate of the communication in the network is limited. We propose a distributed optimization algorithm with an iteratively refining quantization design, which bounds the quantization errors and ensures convergence to the global optimum. We present conditions on the bit rate and the initial quantization intervals for convergence, and show that as the bit rate increases, the corresponding minimum initial quantization intervals decrease. We prove that after imposing the quantization scheme, the algorithm still provides a linear convergence rate, and furthermore derive an upper bound on the number of iterations to achieve a given accuracy. Finally, we demonstrate the performance of the proposed algorithm and the theoretical findings for solving a randomly generated example of a distributed least squares problem.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"104 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":"123782046","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}
Heng Li, Jun Peng, Jing Wang, Weirong Liu, Zhiwu Huang
{"title":"An adaptive parallel charging system for energy-storage urban rails","authors":"Heng Li, Jun Peng, Jing Wang, Weirong Liu, Zhiwu Huang","doi":"10.1109/ACC.2015.7170957","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170957","url":null,"abstract":"In this paper, an adaptive parallel charging system is designed for energy-storage urban rail vehicles. The main circuit of the charging system is chosen with two parallel buck converters. The state space model of the charging system is derived with averaging method. Then an adaptive model-free extremum seeking charging controller is designed. Different from existing model-based charging methods, the proposed strategy calls for no knowledge of urban rail vehicles and hence has a wider range of applications. We further show that the proposed charging method can suppress the current imbalance between two parallel buck converters efficiently. The effectiveness of the proposed charging strategy is proved with rigorous theoretical analysis. Moreover, experiment results from a prototype parallel charging system verify the theoretical analysis.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"8 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":"125344906","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 sequential log barrier method for solving convex-concave problems with applications in robotics","authors":"Frederik Debrouwere, G. Pipeleers, J. Swevers","doi":"10.1109/ACC.2015.7172086","DOIUrl":"https://doi.org/10.1109/ACC.2015.7172086","url":null,"abstract":"In this paper we present a novel method to solve a convex-concave optimization problem. For this class of problems, several methods have already been developed. Sequential convex programming (SCP) is one of the state-of-the-art methods and involves solving a sequence of convex subproblems by linearizing the concave parts. These convex problems are e.g. solved by a log barrier method which solves a sequence of log barrier problems. To reduce the computational load we propose a sequential convex log barrier (SCLB) method where the main difference with SCP is that we search for an approximated solution of the convex subproblems by only solving one log barrier problem. We prove convergence of the proposed algorithm and we give some numerical examples that illustrate the decrease in computational load and similar convergence behaviour for a practical robotics application.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"18 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":"125363272","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}
S. Samaranayake, J. Reilly, W. Krichene, J. Lespiau, M. L. Delle Monache, P. Goatin, A. Bayen
{"title":"Discrete-time system optimal dynamic traffic assignment (SO-DTA) with partial control for horizontal queuing networks","authors":"S. Samaranayake, J. Reilly, W. Krichene, J. Lespiau, M. L. Delle Monache, P. Goatin, A. Bayen","doi":"10.1109/ACC.2015.7170811","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170811","url":null,"abstract":"We consider the System Optimal Dynamic Traffic Assignment problem with Partial Control (SO-DTA-PC) for general networks with horizontal queuing. The goal of which is to optimally control any subset of the networks agents to minimize the total congestion of all agents in the network. We adopt a flow dynamics model that is a Godunov discretization of the Lighthill-Williams-Richards (LWR) partial differential equation with a triangular flux function and a corresponding multi-commodity junction solver. Full Lagrangian paths are assumed to be known for the controllable agents, while we only assume knowledge of the aggregate split ratios for the non-controllable (selfish) agents. We solve the resulting finite horizon non-linear optimal control problem using the discrete adjoint method.","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":"126657444","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-oriented model for piston trajectory-based HCCI combustion","authors":"Chen Zhang, Ke Li, Zongxuan Sun","doi":"10.1109/ACC.2015.7172077","DOIUrl":"https://doi.org/10.1109/ACC.2015.7172077","url":null,"abstract":"Previously, the authors have proposed the concept of piston trajectory-based homogeneous charge compression ignition (HCCI) combustion control enabled by a free piston engine and shown the effects of variable piston trajectories on the start of combustion timing, heat loss amount and indicated output work. In order to realize this new control in practical applications, a control-oriented model with reduced chemical kinetics has to be developed. In this paper, such a model is presented and is compared to two existing models: a simplified model using a global reaction and a complex model including detailed chemical reaction mechanisms. A cycle separation method is employed in the proposed model to significantly reduce the computational time and guarantee the prediction accuracy simultaneously. A feedback controller is also implemented on the control-oriented model to control the HCCI combustion phasing by varying the trajectories. The simulation results show that the combustion phasing can be adjusted as desired, which demonstrates the effectiveness of the piston trajectory-based combustion control.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"95 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":"126715039","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":"Data-driven property verification of grey-box systems by bayesian experiment design","authors":"S. Haesaert, P. V. D. Hof, A. Abate","doi":"10.1109/ACC.2015.7170994","DOIUrl":"https://doi.org/10.1109/ACC.2015.7170994","url":null,"abstract":"A measurement-based statistical verification approach is developed for systems with partly unknown dynamics. These grey-box systems are subject to identification experiments which, new in this contribution, enable accepting or rejecting system properties expressed in a linear-time logic. We employ a Bayesian framework for the computation of a confidence level on the properties and for the design of optimal experiments. Applied to dynamical systems, this work enables data-driven verification of partly-known system dynamics with controllable non-determinism (inputs) and noisy output observations. A numerical case study concerning the safety of a dynamical system is used to elucidate this data-driven and model-based verification technique.","PeriodicalId":223665,"journal":{"name":"2015 American Control Conference (ACC)","volume":"376 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":"126718082","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}