Pub Date : 2021-07-19DOI: 10.1137/1.9781611976847.11
H. Lhachemi, C. Prieur
This paper solves a regulation problem for a reaction-diffusion equation. More precisely, for a given bounded observation, we design a boundary controller so that the setpoint output of the equation converges to a prescribed reference signal. The control law is finite-dimensional and is obtained by coupling a pole-placement control law with an observer. The proofs are based on a Lyapunov function and relies on the properties of Sturm-Liouville operators.
{"title":"Regulation of a reaction-diffusion equation with bounded observation","authors":"H. Lhachemi, C. Prieur","doi":"10.1137/1.9781611976847.11","DOIUrl":"https://doi.org/10.1137/1.9781611976847.11","url":null,"abstract":"This paper solves a regulation problem for a reaction-diffusion equation. More precisely, for a given bounded observation, we design a boundary controller so that the setpoint output of the equation converges to a prescribed reference signal. The control law is finite-dimensional and is obtained by coupling a pole-placement control law with an observer. The proofs are based on a Lyapunov function and relies on the properties of Sturm-Liouville operators.","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122185370","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}
Pub Date : 2021-01-01DOI: 10.1137/1.9781611976847.10
Ning Liu, Yongxin Wu, Y. L. Gorrec, L. Lefévre, Héctor Ramírez
In this paper we consider in-domain control of distributed parameter port-Hamiltonian systems defined on a one dimensional spatial domain. Through an early lumping approach we extend the control by interconnection and energy shaping approach to the use of distributed control over the spatial domain. With the established finite dimensional controller, the closed-loop performances can be modified over a given range of frequencies while guaranteeing the closedloop stability of the infinite dimensional system. Two cases are investigated, the ideal case where the controller acts on the complete spatial domain (infinite dimensional distributed control), and the more realistic one where the control is piecewise homogeneous (finite rank distributed control). The proposed control strategies are illustrated through simulations on the stabilization of a vibrating Timoshenko
{"title":"In-domain finite dimensional control of distributed parameter port-Hamiltonian systems via energy shaping","authors":"Ning Liu, Yongxin Wu, Y. L. Gorrec, L. Lefévre, Héctor Ramírez","doi":"10.1137/1.9781611976847.10","DOIUrl":"https://doi.org/10.1137/1.9781611976847.10","url":null,"abstract":"In this paper we consider in-domain control of distributed parameter port-Hamiltonian systems defined on a one dimensional spatial domain. Through an early lumping approach we extend the control by interconnection and energy shaping approach to the use of distributed control over the spatial domain. With the established finite dimensional controller, the closed-loop performances can be modified over a given range of frequencies while guaranteeing the closedloop stability of the infinite dimensional system. Two cases are investigated, the ideal case where the controller acts on the complete spatial domain (infinite dimensional distributed control), and the more realistic one where the control is piecewise homogeneous (finite rank distributed control). The proposed control strategies are illustrated through simulations on the stabilization of a vibrating Timoshenko","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127927337","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}
Pub Date : 2020-09-01DOI: 10.1137/1.9781611976847.3
Hans Riess, Y. Kantaros, G. Pappas, R. Ghrist
In this paper, we consider networks of static sensors with integrated sensing and communication capabilities. The goal of the sensors is to propagate their collected information to every other agent in the network and possibly a human operator. Such a task requires constant communication among all agents which may result in collisions and congestion in wireless communication. To mitigate this issue, we impose locally non-interfering connectivity constraints that must be respected by every agent. We show that these constraints along with the requirement of propagating information in the network can be captured by a Linear Temporal Logic (LTL) framework. Existing temporal logic control synthesis algorithms can be used to design correct-by-construction communication schedules that satisfy the considered LTL formula. Nevertheless, such approaches are centralized and scale poorly with the size of the network. We propose a hierarchical LTL-based algorithm that designs communication schedules that determine which agents should communicate while maximizing network usage. We show that the proposed algorithm is complete and demonstrate its efficiency and scalability through analysis and numerical experiments.
{"title":"A Temporal Logic-Based Hierarchical Network Connectivity Controller","authors":"Hans Riess, Y. Kantaros, G. Pappas, R. Ghrist","doi":"10.1137/1.9781611976847.3","DOIUrl":"https://doi.org/10.1137/1.9781611976847.3","url":null,"abstract":"In this paper, we consider networks of static sensors with integrated sensing and communication capabilities. The goal of the sensors is to propagate their collected information to every other agent in the network and possibly a human operator. Such a task requires constant communication among all agents which may result in collisions and congestion in wireless communication. To mitigate this issue, we impose locally non-interfering connectivity constraints that must be respected by every agent. We show that these constraints along with the requirement of propagating information in the network can be captured by a Linear Temporal Logic (LTL) framework. Existing temporal logic control synthesis algorithms can be used to design correct-by-construction communication schedules that satisfy the considered LTL formula. Nevertheless, such approaches are centralized and scale poorly with the size of the network. We propose a hierarchical LTL-based algorithm that designs communication schedules that determine which agents should communicate while maximizing network usage. We show that the proposed algorithm is complete and demonstrate its efficiency and scalability through analysis and numerical experiments.","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122169805","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}
Pub Date : 1900-01-01DOI: 10.1137/1.9781611976847.6
Manuela Gamonal Fernández, Patricio Moreno, L. Colombo
{"title":"Learning Shape Control of Multi-Agent Systems with Lagrangian Neural Networks","authors":"Manuela Gamonal Fernández, Patricio Moreno, L. Colombo","doi":"10.1137/1.9781611976847.6","DOIUrl":"https://doi.org/10.1137/1.9781611976847.6","url":null,"abstract":"","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131137610","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}
Pub Date : 1900-01-01DOI: 10.1137/1.9781611976847.4
K. Jeet, D. Pandey
{"title":"Approximate controllability of nonlocal and impulsive integro-differential equations of finite delay","authors":"K. Jeet, D. Pandey","doi":"10.1137/1.9781611976847.4","DOIUrl":"https://doi.org/10.1137/1.9781611976847.4","url":null,"abstract":"","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"12 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116413475","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}
Pub Date : 1900-01-01DOI: 10.1137/1.9781611976847.1
A. Amini, Qiyu Sun, N. Motee
{"title":"Error Bounds for Carleman Linearization of General Nonlinear Systems","authors":"A. Amini, Qiyu Sun, N. Motee","doi":"10.1137/1.9781611976847.1","DOIUrl":"https://doi.org/10.1137/1.9781611976847.1","url":null,"abstract":"","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134040045","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}
Pub Date : 1900-01-01DOI: 10.1137/1.9781611976847.7
M. Pemy
{"title":"Execution Shortfall Algorithms under Regime Switching","authors":"M. Pemy","doi":"10.1137/1.9781611976847.7","DOIUrl":"https://doi.org/10.1137/1.9781611976847.7","url":null,"abstract":"","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114678459","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}
Pub Date : 1900-01-01DOI: 10.1137/1.9781611976847.9
P. Pepe, A. Borri, M. D. Ferdinando
{"title":"On Lyapunov-Krasovskii Methods for Event-Based Control of Retarded Systems with Sampled-Data Measures, non-Smooth Feedback, and non-Uniform Sampling","authors":"P. Pepe, A. Borri, M. D. Ferdinando","doi":"10.1137/1.9781611976847.9","DOIUrl":"https://doi.org/10.1137/1.9781611976847.9","url":null,"abstract":"","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"341 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124217995","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}
Pub Date : 1900-01-01DOI: 10.1137/1.9781611976847.8
Rohit Patel, A. Shukla, D. Pandey, S. Jadon
{"title":"Results on Optimal Control for Abstract Semilinear Second-Order Systems","authors":"Rohit Patel, A. Shukla, D. Pandey, S. Jadon","doi":"10.1137/1.9781611976847.8","DOIUrl":"https://doi.org/10.1137/1.9781611976847.8","url":null,"abstract":"","PeriodicalId":356259,"journal":{"name":"2021 Proceedings of the Conference on Control and its Applications","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128269750","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}
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