Pub Date : 2004-12-17DOI: 10.1109/CDC.2004.1429399
O. González, H. Herencia-Zapana, W. Gray
This paper analyzes the stability of a sampled-data system consisting of a deterministic, nonlinear, time-invariant, continuous-time plant and a stochastic, discrete-time, jump linear controller. The jump linear controller models, for example, computer systems and communication networks that are subject to stochastic upsets or disruptions. This sampled-data model has been used in the analysis and design of fault-tolerant systems and computer-control systems with random communication delays without taking into account the inter-sample response. To analyze stability, appropriate topologies are introduced for the signal spaces of the sampled-data system. With these topologies, the ideal sampling and zero-order-hold operators are shown to be measurable maps. This paper shows that the known equivalence between the stability of a deterministic, linear sampled-data system and its associated discrete-time representation as well as between a nonlinear sampled-data system and a linearized representation holds even in a stochastic framework.
{"title":"Stochastic stability of nonlinear sampled data systems with a jump linear controller","authors":"O. González, H. Herencia-Zapana, W. Gray","doi":"10.1109/CDC.2004.1429399","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429399","url":null,"abstract":"This paper analyzes the stability of a sampled-data system consisting of a deterministic, nonlinear, time-invariant, continuous-time plant and a stochastic, discrete-time, jump linear controller. The jump linear controller models, for example, computer systems and communication networks that are subject to stochastic upsets or disruptions. This sampled-data model has been used in the analysis and design of fault-tolerant systems and computer-control systems with random communication delays without taking into account the inter-sample response. To analyze stability, appropriate topologies are introduced for the signal spaces of the sampled-data system. With these topologies, the ideal sampling and zero-order-hold operators are shown to be measurable maps. This paper shows that the known equivalence between the stability of a deterministic, linear sampled-data system and its associated discrete-time representation as well as between a nonlinear sampled-data system and a linearized representation holds even in a stochastic framework.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129247424","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 : 2004-12-14DOI: 10.1109/CDC.2004.1428903
Jie Chen, S. Niculescu
In this paper we study the robust stability of uncertain quasipolynomials, whose coefficients are only known to be confined within certain prescribed sets. We consider such quasipolynomials with commensurate delays. We derive a sufficient condition for the uncertain quasipolynomials to be robustly stable independent of delay, when they are confined to the families of interval, diamond, and spherical quasipolynomials. The condition requires checking the robust stability of one polynomial, and computing additionally a frequency-dependent matrix.
{"title":"Robust stability of quasipolynomials with commensurate delays","authors":"Jie Chen, S. Niculescu","doi":"10.1109/CDC.2004.1428903","DOIUrl":"https://doi.org/10.1109/CDC.2004.1428903","url":null,"abstract":"In this paper we study the robust stability of uncertain quasipolynomials, whose coefficients are only known to be confined within certain prescribed sets. We consider such quasipolynomials with commensurate delays. We derive a sufficient condition for the uncertain quasipolynomials to be robustly stable independent of delay, when they are confined to the families of interval, diamond, and spherical quasipolynomials. The condition requires checking the robust stability of one polynomial, and computing additionally a frequency-dependent matrix.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"199 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122163921","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 : 2004-12-14DOI: 10.1109/CDC.2004.1429621
S. Sorooshyari, Z. Gajic
Transmitter power control has been shown to be an efficient and effective means for supporting variable-service users in wireless networks. In this presentation, an estimator-based controller is proposed for distributed uplink power control. The controller is optimal with respect to minimizing a cost function consisting of a user's signal-to-interference ratio (SIR) error and the network interference, in a decentralized manner. Assuming sufficiently good estimates, the controller has the potential of providing convergence in a few iterations. The main feature of the proposed controller is that it saves the user transmit power while achieving a satisfactory SIR value. Furthermore, the issue of joint minimization of network interference and a user's SIR error is addressed in a distributed manner so as to obtain a desired tradeoff.
{"title":"Optimal SIR and interference-based distributed power control for wireless networks","authors":"S. Sorooshyari, Z. Gajic","doi":"10.1109/CDC.2004.1429621","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429621","url":null,"abstract":"Transmitter power control has been shown to be an efficient and effective means for supporting variable-service users in wireless networks. In this presentation, an estimator-based controller is proposed for distributed uplink power control. The controller is optimal with respect to minimizing a cost function consisting of a user's signal-to-interference ratio (SIR) error and the network interference, in a decentralized manner. Assuming sufficiently good estimates, the controller has the potential of providing convergence in a few iterations. The main feature of the proposed controller is that it saves the user transmit power while achieving a satisfactory SIR value. Furthermore, the issue of joint minimization of network interference and a user's SIR error is addressed in a distributed manner so as to obtain a desired tradeoff.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122528751","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 : 2004-12-14DOI: 10.1109/CDC.2004.1429265
A. Akhenak, M. Chadli, D. Maquin, J. Ragot
This paper is dedicated to the synthesis of a sliding mode multiple observer. The considered systems are represented by an uncertain (nonlinear) multiple model with unknown inputs. Stability conditions of such observers are expressed in terms of linear matrix inequalities (LMI). An example of simulation is given to illustrate the proposed method.
{"title":"State estimation of uncertain multiple model with unknown inputs","authors":"A. Akhenak, M. Chadli, D. Maquin, J. Ragot","doi":"10.1109/CDC.2004.1429265","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429265","url":null,"abstract":"This paper is dedicated to the synthesis of a sliding mode multiple observer. The considered systems are represented by an uncertain (nonlinear) multiple model with unknown inputs. Stability conditions of such observers are expressed in terms of linear matrix inequalities (LMI). An example of simulation is given to illustrate the proposed method.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"15 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134426415","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 : 2004-12-14DOI: 10.1109/CDC.2004.1428845
S. Mastellone, P. Dorato, C. Abdallah
Finite-time stability of nonlinear discrete-time systems is studied. Some new analysis results are developed and applied to controller design.
研究了非线性离散系统的有限时间稳定性。提出了一些新的分析结果，并将其应用于控制器设计。
{"title":"Finite-time stability of discrete-time nonlinear systems: analysis and design","authors":"S. Mastellone, P. Dorato, C. Abdallah","doi":"10.1109/CDC.2004.1428845","DOIUrl":"https://doi.org/10.1109/CDC.2004.1428845","url":null,"abstract":"Finite-time stability of nonlinear discrete-time systems is studied. Some new analysis results are developed and applied to controller design.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123992309","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 : 2004-12-14DOI: 10.1109/CDC.2004.1429317
K. Pékpé, G. Mourot, Komi Gasso, J. Ragot
The paper describes an identification technique of switching system. The considered system is represented as a weighted sum of local models. To estimate the switching times, a change detection technique is applied. It provides the weights associated to the local models. The Markov parameters of these models are identified by a subspace method. This calculation can yield similar local models which are merged. The procedure of parameter identification an models merging is repeated until convergence. The performance of the approach is investigated on a simulation example.
{"title":"Identification of switching systems using change detection technique in the subspace framework","authors":"K. Pékpé, G. Mourot, Komi Gasso, J. Ragot","doi":"10.1109/CDC.2004.1429317","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429317","url":null,"abstract":"The paper describes an identification technique of switching system. The considered system is represented as a weighted sum of local models. To estimate the switching times, a change detection technique is applied. It provides the weights associated to the local models. The Markov parameters of these models are identified by a subspace method. This calculation can yield similar local models which are merged. The procedure of parameter identification an models merging is repeated until convergence. The performance of the approach is investigated on a simulation example.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"7 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120889879","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 : 2004-12-14DOI: 10.1109/CDC.2004.1429608
M. Deng, A. Inoue, Kazuhiro Takeda, Y. Hirashima
In this paper, a design problem of a continuous-time anti-windup generalized predictive control (CAGPC) system using coprime factorization approach for uncertain processes with input constraints and time delays is considered. The uncertainty of the process is considered as an uncertain time delay. To reduce the effect of the input constraint and uncertain delay, controller for strong stability of the closed-loop system is designed. As a practical appeal, the effectiveness of the proposed design scheme is confirmed by a simulated application to an industrial process with input constraint and uncertain time delay.
{"title":"Continuous-time anti-windup generalized predictive control of uncertain processes with input constraints and time delays","authors":"M. Deng, A. Inoue, Kazuhiro Takeda, Y. Hirashima","doi":"10.1109/CDC.2004.1429608","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429608","url":null,"abstract":"In this paper, a design problem of a continuous-time anti-windup generalized predictive control (CAGPC) system using coprime factorization approach for uncertain processes with input constraints and time delays is considered. The uncertainty of the process is considered as an uncertain time delay. To reduce the effect of the input constraint and uncertain delay, controller for strong stability of the closed-loop system is designed. As a practical appeal, the effectiveness of the proposed design scheme is confirmed by a simulated application to an industrial process with input constraint and uncertain time delay.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127547586","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 : 2004-12-03DOI: 10.1109/CDC.2004.1429376
G. Nair, R. Evans, P. Caines
This paper considers the following question: given a deterministic linear plant with multiple sensors and controllers, how can one characterise the combination of channel data rates between all sensor-controller pairs which permits stability to be achieved? Under different stability objectives, two sets of data rate inequalities which must be satisfied by any stabilising decentralised coding and control scheme are presented. It is then shown that if another set of inequalities is feasible then a stabilising decentralised coding and control scheme can always be constructed. Finally, a tight data rate inequality for stabilisability is obtained for a special class of decentralised plant.
{"title":"Stabilising decentralised linear systems under data rate constraints","authors":"G. Nair, R. Evans, P. Caines","doi":"10.1109/CDC.2004.1429376","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429376","url":null,"abstract":"This paper considers the following question: given a deterministic linear plant with multiple sensors and controllers, how can one characterise the combination of channel data rates between all sensor-controller pairs which permits stability to be achieved? Under different stability objectives, two sets of data rate inequalities which must be satisfied by any stabilising decentralised coding and control scheme are presented. It is then shown that if another set of inequalities is feasible then a stabilising decentralised coding and control scheme can always be constructed. Finally, a tight data rate inequality for stabilisability is obtained for a special class of decentralised plant.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128408878","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 : 2004-12-01DOI: 10.1109/CDC.2004.1430246
D. Quevedo, G. Goodwin, H. Bölcskei
Using concepts from the receding horizon control framework, we propose an approach to quantization in oversampled filter banks. The key idea is to pose the quantization problem as a multi-step optimization problem, where the decision variables are restricted to belong to a finite set. It is shown that the resulting architecture yields enhanced performance when compared to the well-known noise shaping coder. In particular, the quantizer proposed can be tuned with stability concepts in mind.
{"title":"Multi-step optimal quantization in oversampled filter banks","authors":"D. Quevedo, G. Goodwin, H. Bölcskei","doi":"10.1109/CDC.2004.1430246","DOIUrl":"https://doi.org/10.1109/CDC.2004.1430246","url":null,"abstract":"Using concepts from the receding horizon control framework, we propose an approach to quantization in oversampled filter banks. The key idea is to pose the quantization problem as a multi-step optimization problem, where the decision variables are restricted to belong to a finite set. It is shown that the resulting architecture yields enhanced performance when compared to the well-known noise shaping coder. In particular, the quantizer proposed can be tuned with stability concepts in mind.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114929010","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 : 2004-12-01DOI: 10.1109/CDC.2004.1429396
C. Qian, Ji Li
This paper considers the problem of global finite-time stabilization by output feedback for a class of planar systems without controllable/observable linearization. The novelties of this work are: (1) we show that the adding a power integrator technique can be modified to construct a finite-time stabilizer for the planar systems; (2) a new nonsmooth one-dimensional observer is developed to estimate the unmeasurable state of the system; and (3) a rigorous stability analysis procedure is proposed to appropriately select the gain of the observer. The combination of the finite-time stabilizer and nonsmooth observer makes the planar system globally finite-time stable. We also show that as a direct application of the main result, global output feedback finite-time stabilization can be achieved for the double linear integrator systems perturbed by some nonlinear functions which are not necessarily homogenous.
{"title":"Global finite-time stabilization of planar nonlinear systems by output feedback","authors":"C. Qian, Ji Li","doi":"10.1109/CDC.2004.1429396","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429396","url":null,"abstract":"This paper considers the problem of global finite-time stabilization by output feedback for a class of planar systems without controllable/observable linearization. The novelties of this work are: (1) we show that the adding a power integrator technique can be modified to construct a finite-time stabilizer for the planar systems; (2) a new nonsmooth one-dimensional observer is developed to estimate the unmeasurable state of the system; and (3) a rigorous stability analysis procedure is proposed to appropriately select the gain of the observer. The combination of the finite-time stabilizer and nonsmooth observer makes the planar system globally finite-time stable. We also show that as a direct application of the main result, global output feedback finite-time stabilization can be achieved for the double linear integrator systems perturbed by some nonlinear functions which are not necessarily homogenous.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"273 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129604438","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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