Pub Date : 2013-12-01DOI: 10.1109/CDC.2013.6760087
L. Jetto, V. Orsini, R. Romagnoli
This paper considers the problem of computing the input u(t) of an internally asymptotically stable, possibly non minimum phase, linear, continuous-time system Σ yielding a very accurate tracking of a pre-specified desired output trajectory ỹ(t). The main purpose of the new approach proposed here is to alleviate some limitations inherent the classical methods developed in the framework of the preview based stable inversion, which represents an important reference context for this class of control problems. In particular the new method allows one to deal with arbitrary and possibly uncertain initial conditions and does not require a pre-actuation. The desired output ỹs(t) to be exactly tracked in steady-state is here assumed to belong to the set of polynomials, exponential and sinusoidal time functions. The desired transient response ỹt(t) is specified to obtain a fast and smooth transition towards the steady-state trajectory ỹs(t), without under and/or overshoot in the case of a set point reset. The transient control input ut(t) is “a priori” assumed to be given by a piecewise polynomial function. Once ỹ(t) has been specified, this allows the computation of the unknown ut(t) as the approximate least-squares solution of the Fredholm's integral equation corresponding to the explicit formula of the output forced response. The steady-state input us(t) is analytically computed exploiting the steady-state output response expressions for inputs belonging to the same set of ỹs(t).
{"title":"Almost perfect tracking through mixed numerical-analytical stable pseudo-inversion of non minimum phase plants","authors":"L. Jetto, V. Orsini, R. Romagnoli","doi":"10.1109/CDC.2013.6760087","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760087","url":null,"abstract":"This paper considers the problem of computing the input u(t) of an internally asymptotically stable, possibly non minimum phase, linear, continuous-time system Σ yielding a very accurate tracking of a pre-specified desired output trajectory ỹ(t). The main purpose of the new approach proposed here is to alleviate some limitations inherent the classical methods developed in the framework of the preview based stable inversion, which represents an important reference context for this class of control problems. In particular the new method allows one to deal with arbitrary and possibly uncertain initial conditions and does not require a pre-actuation. The desired output ỹs(t) to be exactly tracked in steady-state is here assumed to belong to the set of polynomials, exponential and sinusoidal time functions. The desired transient response ỹt(t) is specified to obtain a fast and smooth transition towards the steady-state trajectory ỹs(t), without under and/or overshoot in the case of a set point reset. The transient control input ut(t) is “a priori” assumed to be given by a piecewise polynomial function. Once ỹ(t) has been specified, this allows the computation of the unknown ut(t) as the approximate least-squares solution of the Fredholm's integral equation corresponding to the explicit formula of the output forced response. The steady-state input us(t) is analytically computed exploiting the steady-state output response expressions for inputs belonging to the same set of ỹs(t).","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130421680","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 : 2013-12-01DOI: 10.1109/CDC.2013.6759909
G. Tommasi, G. Ambrosino, M. Ariola, G. Calabrò, S. Galeani, F. Maviglia, A. Pironti, F. Rimini, A. Sips, G. Varano, R. Vitelli, L. Zaccarian
The eXtreme Shape Controller (XSC) has been originally designed to control the plasma shape at JET during the flat-top phase, when the plasma current has a constant value. During the JET 2012 experimental campaigns, the XSC has been used to improve the shape control during the transient phases of plasma current ramp-up and ramp-down. In order to avoid the saturation of the actuators with these transient phases, a Current Limit Avoidance system (CLA) has been designed and implemented. This paper discusses the CLA algorithm and presents the experimental results achieved at JET during the 2012 campaigns using the XSC.
{"title":"Shape control with the XSC during plasma current ramp-up and ramp-down at the JET tokamak","authors":"G. Tommasi, G. Ambrosino, M. Ariola, G. Calabrò, S. Galeani, F. Maviglia, A. Pironti, F. Rimini, A. Sips, G. Varano, R. Vitelli, L. Zaccarian","doi":"10.1109/CDC.2013.6759909","DOIUrl":"https://doi.org/10.1109/CDC.2013.6759909","url":null,"abstract":"The eXtreme Shape Controller (XSC) has been originally designed to control the plasma shape at JET during the flat-top phase, when the plasma current has a constant value. During the JET 2012 experimental campaigns, the XSC has been used to improve the shape control during the transient phases of plasma current ramp-up and ramp-down. In order to avoid the saturation of the actuators with these transient phases, a Current Limit Avoidance system (CLA) has been designed and implemented. This paper discusses the CLA algorithm and presents the experimental results achieved at JET during the 2012 campaigns using the XSC.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"465 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123899632","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 : 2013-12-01DOI: 10.1109/CDC.2013.6759873
P. Rapisarda, A. Schaft
Given a sufficiently numerous set of vector-exponential trajectories of a conservative port-Hamiltonian system and the supply rate, we compute a corresponding set of state trajectories by factorizing a constant Pick-like matrix. State equations are then obtained by solving a system of linear equations involving the system trajectories and the computed state ones. If a factorization of only a principal submatrix of the Pick matrix is performed, our procedure yields a lower-order conservative port-Hamiltonian model obtained by projection of the full-order one. We also describe a similar approach to identification and model-order reduction for self-adjoint Hamiltonian systems.
{"title":"Identification and data-driven reduced-order modeling for linear conservative port- and self-adjoint Hamiltonian systems","authors":"P. Rapisarda, A. Schaft","doi":"10.1109/CDC.2013.6759873","DOIUrl":"https://doi.org/10.1109/CDC.2013.6759873","url":null,"abstract":"Given a sufficiently numerous set of vector-exponential trajectories of a conservative port-Hamiltonian system and the supply rate, we compute a corresponding set of state trajectories by factorizing a constant Pick-like matrix. State equations are then obtained by solving a system of linear equations involving the system trajectories and the computed state ones. If a factorization of only a principal submatrix of the Pick matrix is performed, our procedure yields a lower-order conservative port-Hamiltonian model obtained by projection of the full-order one. We also describe a similar approach to identification and model-order reduction for self-adjoint Hamiltonian systems.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"197 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123367515","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 : 2013-12-01DOI: 10.1109/CDC.2013.6760989
A. D. Fazio, G. Fusco, M. Russo
The evolution of existing distribution systems toward smart grids requires the exploitation of all the capabilities of the new Distributed Generation (DG). To this aim, the present paper addresses the problem of improving the voltage profile regulation in distribution networks with DG. According to a decentralized approach, the set-point of a reactive power regulation scheme of the DG is designed in an optimal sense by solving a constrained minimization problem. Since the proposed design uses only local measurements new investments on the existing networks are limited. The results of numerical simulations are provided for a MV multiple-feeder distribution system with multiple DGs with reference to two different optimization objectives.
{"title":"Enhancing distribution networks to evolve toward smart grids: The voltage control problem","authors":"A. D. Fazio, G. Fusco, M. Russo","doi":"10.1109/CDC.2013.6760989","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760989","url":null,"abstract":"The evolution of existing distribution systems toward smart grids requires the exploitation of all the capabilities of the new Distributed Generation (DG). To this aim, the present paper addresses the problem of improving the voltage profile regulation in distribution networks with DG. According to a decentralized approach, the set-point of a reactive power regulation scheme of the DG is designed in an optimal sense by solving a constrained minimization problem. Since the proposed design uses only local measurements new investments on the existing networks are limited. The results of numerical simulations are provided for a MV multiple-feeder distribution system with multiple DGs with reference to two different optimization objectives.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"184 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123370376","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 : 2013-12-01DOI: 10.1109/CDC.2013.6760069
Masayasu Suzuki, Nobuki Takatsuki, J. Imura, K. Aihara
For a class of networked systems consisting of heterogeneous multi-dimensional subsystems, this paper proposes a novel knock-out-based method to identify the strength of the interaction between specified two nodes based on the input-output data of the networked systems, under the condition that the dynamics of the corresponding nodes is known. Our method does not require any information on dynamics of the other nodes as well as network structure among the other nodes. We also extend this method to the case in which the dynamics of the two nodes whose edge is identified is changed instead of the knock-out operation, i.e., to a knock-down-based identification method.
{"title":"Knock-out/down-based structure identification in networks of heterogeneous subsystems","authors":"Masayasu Suzuki, Nobuki Takatsuki, J. Imura, K. Aihara","doi":"10.1109/CDC.2013.6760069","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760069","url":null,"abstract":"For a class of networked systems consisting of heterogeneous multi-dimensional subsystems, this paper proposes a novel knock-out-based method to identify the strength of the interaction between specified two nodes based on the input-output data of the networked systems, under the condition that the dynamics of the corresponding nodes is known. Our method does not require any information on dynamics of the other nodes as well as network structure among the other nodes. We also extend this method to the case in which the dynamics of the two nodes whose edge is identified is changed instead of the knock-out operation, i.e., to a knock-down-based identification method.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123489749","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 : 2013-12-01DOI: 10.1109/CDC.2013.6760054
F. Méhats, Y. Privat, M. Sigalotti
We investigate the controllability of a quantum electron trapped in a two-dimensional device. The problem is modeled by the Schrödinger equation in a bounded domain coupled to the Poisson equation for the electrical potential. The controller acts on the system through the boundary condition on the potential, on a part of the boundary modeling the gate. We prove that, generically with respect to the shape and boundary conditions on the gate, the device is controllable.
{"title":"Shape dependent controllability of a quantum transistor","authors":"F. Méhats, Y. Privat, M. Sigalotti","doi":"10.1109/CDC.2013.6760054","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760054","url":null,"abstract":"We investigate the controllability of a quantum electron trapped in a two-dimensional device. The problem is modeled by the Schrödinger equation in a bounded domain coupled to the Poisson equation for the electrical potential. The controller acts on the system through the boundary condition on the potential, on a part of the boundary modeling the gate. We prove that, generically with respect to the shape and boundary conditions on the gate, the device is controllable.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121155571","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 : 2013-12-01DOI: 10.1109/CDC.2013.6760012
G. Bianchini, S. Paoletti, A. Vicino, F. Corti, F. Nebiacolombo
This paper presents a heuristic method for the estimation of a model of a photovoltaic plant to be used for power generation forecasting purposes. The problem is addressed in a scenario where measurements of meteorological variables (i.e., irradiance and temperature) at the plant site are not available. The proposed approach efficiently exploits only power generation measurements and theoretical clear-sky irradiance, and is characterized by very low computational effort. A real-world application is presented to validate the procedure, which is also currently in pre-deployment phase at a Distribution System Operator control center in Northern Italy.
{"title":"Estimation of a simple model of solar power generation using partial information","authors":"G. Bianchini, S. Paoletti, A. Vicino, F. Corti, F. Nebiacolombo","doi":"10.1109/CDC.2013.6760012","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760012","url":null,"abstract":"This paper presents a heuristic method for the estimation of a model of a photovoltaic plant to be used for power generation forecasting purposes. The problem is addressed in a scenario where measurements of meteorological variables (i.e., irradiance and temperature) at the plant site are not available. The proposed approach efficiently exploits only power generation measurements and theoretical clear-sky irradiance, and is characterized by very low computational effort. A real-world application is presented to validate the procedure, which is also currently in pre-deployment phase at a Distribution System Operator control center in Northern Italy.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121282526","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 : 2013-12-01DOI: 10.1109/CDC.2013.6760446
G. Konstantopoulos, A. Alexandridis
A bounded nonlinear dynamic controller suitable for the regulation of the duty-ratio input of a three-phase AC/DC voltage source converter (VSC) is proposed. The controller design is based on the complete nonlinear average model of the power converter and takes into account that the controlled inputs -duty-ratio signals- should be saturated in a disk area on the input phase portrait while the grid voltages constitute the uncontrolled inputs. The proposed design approach fully satisfies the input constraint while simultaneously achieves precise DC bus voltage regulation and unity power factor operation. In addition, opposite to the conventional controllers, the present development is totally independent from the system parameters. A detailed nonlinear analysis shows that the closed-loop system operating under the uncontrolled external inputs has the input to state stability (ISS) property while the analysis is further extended to prove convergence to the desired nonzero equilibrium when constant external inputs act on the system. Simulation results verify the effectiveness of the controller under sudden DC bus voltage reference and load variations.
{"title":"Design and analysis of a novel bounded nonlinear controller for three-phase ac/dc converters","authors":"G. Konstantopoulos, A. Alexandridis","doi":"10.1109/CDC.2013.6760446","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760446","url":null,"abstract":"A bounded nonlinear dynamic controller suitable for the regulation of the duty-ratio input of a three-phase AC/DC voltage source converter (VSC) is proposed. The controller design is based on the complete nonlinear average model of the power converter and takes into account that the controlled inputs -duty-ratio signals- should be saturated in a disk area on the input phase portrait while the grid voltages constitute the uncontrolled inputs. The proposed design approach fully satisfies the input constraint while simultaneously achieves precise DC bus voltage regulation and unity power factor operation. In addition, opposite to the conventional controllers, the present development is totally independent from the system parameters. A detailed nonlinear analysis shows that the closed-loop system operating under the uncontrolled external inputs has the input to state stability (ISS) property while the analysis is further extended to prove convergence to the desired nonzero equilibrium when constant external inputs act on the system. Simulation results verify the effectiveness of the controller under sudden DC bus voltage reference and load variations.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121298292","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 : 2013-12-01DOI: 10.1109/CDC.2013.6760185
Vanessa D. Jonsson, N. Matni, R. Murray
We propose a general algorithm for the systematic design of feedback strategies to stabilize the evolutionary dynamics of a generic disease model using an H∞ approach. We show that designing therapy concentrations can be cast as an H∞ state feedback synthesis problem, where the feedback gain is constrained to not only be strictly diagonal, but also that its diagonal elements satisfy an overdetermined set of linear equations. Leveraging recent results in positive systems, we develop an algorithm that always yields a stabilizing controller.
{"title":"Reverse engineering combination therapies for evolutionary dynamics of disease: An ℌ∞ approach","authors":"Vanessa D. Jonsson, N. Matni, R. Murray","doi":"10.1109/CDC.2013.6760185","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760185","url":null,"abstract":"We propose a general algorithm for the systematic design of feedback strategies to stabilize the evolutionary dynamics of a generic disease model using an H∞ approach. We show that designing therapy concentrations can be cast as an H∞ state feedback synthesis problem, where the feedback gain is constrained to not only be strictly diagonal, but also that its diagonal elements satisfy an overdetermined set of linear equations. Leveraging recent results in positive systems, we develop an algorithm that always yields a stabilizing controller.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121387209","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 : 2013-12-01DOI: 10.1109/CDC.2013.6760826
M. Zamani, U. Helmke, B. Anderson
This paper investigates the zero properties of networks of linear multi-agent control systems, where the coupling parameters between the agents are assumed to be constant. We characterize the zeros both for heterogeneous and homogeneous networks. Moreover, for homogenous networks with time-invariant interconnection dynamics and SISO agents, we illustrate how zeros of each individual agent and zeros of interconnection dynamics contribute to the zero properties of the whole network. We also investigate the effects of blocking on the zeros.
{"title":"Zeros of networks of linear multi-agent systems: Time-invariant interconnections","authors":"M. Zamani, U. Helmke, B. Anderson","doi":"10.1109/CDC.2013.6760826","DOIUrl":"https://doi.org/10.1109/CDC.2013.6760826","url":null,"abstract":"This paper investigates the zero properties of networks of linear multi-agent control systems, where the coupling parameters between the agents are assumed to be constant. We characterize the zeros both for heterogeneous and homogeneous networks. Moreover, for homogenous networks with time-invariant interconnection dynamics and SISO agents, we illustrate how zeros of each individual agent and zeros of interconnection dynamics contribute to the zero properties of the whole network. We also investigate the effects of blocking on the zeros.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114333196","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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