Pub Date : 2004-12-01DOI: 10.1109/CDC.2004.1430264
R. Maheswaran, T. Başar
In today's landscape of distributed and autonomous computing, there is a challenge to construct mechanisms which can induce selfish agents to act in a way that satisfies a global goal. In the domain for the allocation of computational and network resources, proportionally fair schemes are commonly advocated. In this paper, we investigate the efficiency of the resulting equilibria in such systems. We then develop a method of generating an entire class of divisible auctions with minimal signaling and computation costs which maximize social welfare even though agents act solely to optimize their own utility.
{"title":"Social welfare of selfish agents: motivating efficiency for divisible resources","authors":"R. Maheswaran, T. Başar","doi":"10.1109/CDC.2004.1430264","DOIUrl":"https://doi.org/10.1109/CDC.2004.1430264","url":null,"abstract":"In today's landscape of distributed and autonomous computing, there is a challenge to construct mechanisms which can induce selfish agents to act in a way that satisfies a global goal. In the domain for the allocation of computational and network resources, proportionally fair schemes are commonly advocated. In this paper, we investigate the efficiency of the resulting equilibria in such systems. We then develop a method of generating an entire class of divisible auctions with minimal signaling and computation costs which maximize social welfare even though agents act solely to optimize their own utility.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"48 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":"128164483","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.2004.1428731
Duan Li, F. Qian
The classical linear-quadratic Gaussian problem is reexamined in this paper with a purpose to better control the dispersion of its randomly valued performance index. A closed-loop optimal control law is derived for discrete time linear-quadratic Gaussian problems with a mean-variance objective, by developing a nested form of the variance and using nonlinear mathematical programming as a solution scheme.
{"title":"Closed-loop optimal control law for discrete-time LQG problems with a mean-variance objective","authors":"Duan Li, F. Qian","doi":"10.1109/CDC.2004.1428731","DOIUrl":"https://doi.org/10.1109/CDC.2004.1428731","url":null,"abstract":"The classical linear-quadratic Gaussian problem is reexamined in this paper with a purpose to better control the dispersion of its randomly valued performance index. A closed-loop optimal control law is derived for discrete time linear-quadratic Gaussian problems with a mean-variance objective, by developing a nested form of the variance and using nonlinear mathematical programming as a solution scheme.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"55 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":"125490660","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.2004.1429277
H. Kano, H. Fujioka, Xinkai Chen
We consider a problem of recovering motion of object moving in space under perspective observation. It is assumed that the motion equation is described by a linear system with unknown constant motion parameters and that a single feature point on the object is perspectively observed by two cameras. Then we analyze the identifiability of motion parameters from the stereo image data observed over an interval of time. The identifiability problem is solved by employing theories on linear dynamical systems. It is shown that the parameters are identifiable generically. Moreover, the only cases where the parameters can not be determined uniquely imply very much restrictive motions, confined either in certain planes or lines, in which case any identification algorithms will fail. Moreover whenever the parameters can be determined uniquely, the parameters can be recovered from stereo image data over any time interval of arbitrary length. The problem is also analyzed in discrete-time settings, which can be used far the case of continuous-time motion with discrete-time observations.
{"title":"Identifiability of motion parameters under perspective stereo vision","authors":"H. Kano, H. Fujioka, Xinkai Chen","doi":"10.1109/CDC.2004.1429277","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429277","url":null,"abstract":"We consider a problem of recovering motion of object moving in space under perspective observation. It is assumed that the motion equation is described by a linear system with unknown constant motion parameters and that a single feature point on the object is perspectively observed by two cameras. Then we analyze the identifiability of motion parameters from the stereo image data observed over an interval of time. The identifiability problem is solved by employing theories on linear dynamical systems. It is shown that the parameters are identifiable generically. Moreover, the only cases where the parameters can not be determined uniquely imply very much restrictive motions, confined either in certain planes or lines, in which case any identification algorithms will fail. Moreover whenever the parameters can be determined uniquely, the parameters can be recovered from stereo image data over any time interval of arbitrary length. The problem is also analyzed in discrete-time settings, which can be used far the case of continuous-time motion with discrete-time observations.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"30 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":"127735828","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.2004.1429549
A. Varga
We propose a numerically reliable computational approach to design fault detection filters for periodic systems. This approach is based on a new numerically stable algorithm to compute least order annihilators without explicitly building time-invariant lifted system representations. The main computation in this algorithm is the orthogonal reduction of a periodic matrix pair to a periodic Kronecker-like form, from which the periodic realization of the detector is directly obtained.
{"title":"Design of fault detection filters for periodic systems","authors":"A. Varga","doi":"10.1109/CDC.2004.1429549","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429549","url":null,"abstract":"We propose a numerically reliable computational approach to design fault detection filters for periodic systems. This approach is based on a new numerically stable algorithm to compute least order annihilators without explicitly building time-invariant lifted system representations. The main computation in this algorithm is the orthogonal reduction of a periodic matrix pair to a periodic Kronecker-like form, from which the periodic realization of the detector is directly obtained.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"33 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":"132496507","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.2004.1428608
J. Júlvez, A. Bemporad, L. Recalde, Manuel Silva
Optimally controlling a hybrid system is a challenging problem for which mainly continuous-time and discrete-time methods have been suggested. In this paper, the problem of optimal control is addressed in the framework of continuous Petri nets, a kind of hybrid systems whose state evolution is piecewise linear. The proposed approach consists of transforming the continuous Petri net into an equivalent hybrid system whose evolution is described by means of discrete-event steps. In particular, each step coincides with the occurrence of an event in the continuous Petri net. Thus, the number of steps required to know the behavior of the Petri net is minimum, while the accuracy is completely preserved. It is shown how to design a mixed integer linear programming problem in order to compute the optimal control solution of different performance criteria.
{"title":"Event-driven optimal control of continuous Petri nets","authors":"J. Júlvez, A. Bemporad, L. Recalde, Manuel Silva","doi":"10.1109/CDC.2004.1428608","DOIUrl":"https://doi.org/10.1109/CDC.2004.1428608","url":null,"abstract":"Optimally controlling a hybrid system is a challenging problem for which mainly continuous-time and discrete-time methods have been suggested. In this paper, the problem of optimal control is addressed in the framework of continuous Petri nets, a kind of hybrid systems whose state evolution is piecewise linear. The proposed approach consists of transforming the continuous Petri net into an equivalent hybrid system whose evolution is described by means of discrete-event steps. In particular, each step coincides with the occurrence of an event in the continuous Petri net. Thus, the number of steps required to know the behavior of the Petri net is minimum, while the accuracy is completely preserved. It is shown how to design a mixed integer linear programming problem in order to compute the optimal control solution of different performance criteria.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"1 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":"130301233","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.2004.1429602
S. Galeani, A. Teel
It is shown that the stability of the overall anti-windup compensated closed loop system obtained as the solution of the natural anti-windup problem can lack robustness "in the large". Subsequently, a new, weakened L/sub 2/ anti-windup problem is defined and solved by suitably modifying the approach proposed in Teel and Kapur (1997).
{"title":"On performance and robustness issues in the anti-windup problem","authors":"S. Galeani, A. Teel","doi":"10.1109/CDC.2004.1429602","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429602","url":null,"abstract":"It is shown that the stability of the overall anti-windup compensated closed loop system obtained as the solution of the natural anti-windup problem can lack robustness \"in the large\". Subsequently, a new, weakened L/sub 2/ anti-windup problem is defined and solved by suitably modifying the approach proposed in Teel and Kapur (1997).","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"5 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":"130354039","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.2004.1428603
K. Rohloff, S. Lafortune
Issues related to the control and verification of isomorphic modular discrete-event systems are investigated. A finite state automaton system model is considered for the system modules where sets of atomic propositions are defined on the states. A type of symmetry is defined for these modular systems and a restriction of the /spl mu/-calculus designed for these systems is introduced. A procedure is shown to reduce the cost in computation time and memory for testing if symmetric modular systems satisfy propositions in this /spl mu/-calculus. An example of a symmetric modular UAV platoon leader system is then shown and discussed.
{"title":"Symmetry reductions for a class of discrete-event systems","authors":"K. Rohloff, S. Lafortune","doi":"10.1109/CDC.2004.1428603","DOIUrl":"https://doi.org/10.1109/CDC.2004.1428603","url":null,"abstract":"Issues related to the control and verification of isomorphic modular discrete-event systems are investigated. A finite state automaton system model is considered for the system modules where sets of atomic propositions are defined on the states. A type of symmetry is defined for these modular systems and a restriction of the /spl mu/-calculus designed for these systems is introduced. A procedure is shown to reduce the cost in computation time and memory for testing if symmetric modular systems satisfy propositions in this /spl mu/-calculus. An example of a symmetric modular UAV platoon leader system is then shown and discussed.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"128 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":"127969978","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.2004.1428823
A. Papachristodoulou
We investigate global stability of fast AQM scalable TCP (FAST), a network congestion control scheme for the Internet modelled by a nonlinear delay differential equation with heterogeneous delays. The stability conditions resemble the ones from the linearization, are delay-dependent and scalable for arbitrary network sizes; the special structure of the system and the choice of TCP/AQM dynamics allow the construction of appropriate Lyapunov-Krasovskii functionals in a scalable way.
{"title":"Global stability analysis of a TCP/AQM protocol for arbitrary networks with delay","authors":"A. Papachristodoulou","doi":"10.1109/CDC.2004.1428823","DOIUrl":"https://doi.org/10.1109/CDC.2004.1428823","url":null,"abstract":"We investigate global stability of fast AQM scalable TCP (FAST), a network congestion control scheme for the Internet modelled by a nonlinear delay differential equation with heterogeneous delays. The stability conditions resemble the ones from the linearization, are delay-dependent and scalable for arbitrary network sizes; the special structure of the system and the choice of TCP/AQM dynamics allow the construction of appropriate Lyapunov-Krasovskii functionals in a scalable way.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"15 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":"130279569","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.2004.1430244
S. Sarma, M. Dahleh, S. Salapaka
In the work of Sarma et al. (2004), we constructed a parameterization of general time-varying quantizers. The construction is general in that it can have infinite memory and be time-varying in that the strategy it follows in allocating a total of R bits to its inputs, is a function of time. We derived sufficient conditions for input-output stability as functions of the quantizer's time-dependent bit-allocation strategy for bounded reference inputs. Our generalized construction of the quantizer also led to the result that the set of allocation strategies that maintains stability for bounded inputs is convex, allowing the search for the most efficient strategy to ensure stability to be formulated as a convex optimization problem. In this paper, we extend our stability analysis and derive sufficient conditions for decaying reference signals. We further show that the set of allocation strategies that maintains stability remains convex, as in the case for bounded inputs. We then compute optimal bit-allocation strategies for a class of finite-memory quantizers for various plant and controller pairs, and observe that the most efficient strategies are non-trivial and time-varying. Throughout, we consider a system in which the plant and feedback controller are separated by a noiseless finite-rate communication channel.
在Sarma et al.(2004)的工作中,我们构造了一般时变量化器的参数化。它的结构是通用的,因为它可以有无限的内存,并且是时变的,因为它在为其输入分配总共R位时所遵循的策略是时间的函数。我们推导了作为有界参考输入的量化器时变位分配策略函数的输入-输出稳定性的充分条件。我们对量化器的广义构造也导致了对有界输入保持稳定性的分配策略集是凸的结果,允许搜索最有效的策略以确保稳定性被表述为凸优化问题。在本文中,我们扩展了稳定性分析,并推导了参考信号衰减的充分条件。我们进一步证明,在有界输入的情况下,保持稳定性的分配策略集仍然是凸的。然后,我们计算了一类有限内存量化器的最优位分配策略,用于各种植物和控制器对,并观察到最有效的策略是非平凡的和时变的。在整个过程中,我们考虑了一个系统,其中工厂和反馈控制器由一个无噪声的有限速率通信信道分开。
{"title":"On time-varying bit-allocation maintaining input-output stability: a convex parameterization","authors":"S. Sarma, M. Dahleh, S. Salapaka","doi":"10.1109/CDC.2004.1430244","DOIUrl":"https://doi.org/10.1109/CDC.2004.1430244","url":null,"abstract":"In the work of Sarma et al. (2004), we constructed a parameterization of general time-varying quantizers. The construction is general in that it can have infinite memory and be time-varying in that the strategy it follows in allocating a total of R bits to its inputs, is a function of time. We derived sufficient conditions for input-output stability as functions of the quantizer's time-dependent bit-allocation strategy for bounded reference inputs. Our generalized construction of the quantizer also led to the result that the set of allocation strategies that maintains stability for bounded inputs is convex, allowing the search for the most efficient strategy to ensure stability to be formulated as a convex optimization problem. In this paper, we extend our stability analysis and derive sufficient conditions for decaying reference signals. We further show that the set of allocation strategies that maintains stability remains convex, as in the case for bounded inputs. We then compute optimal bit-allocation strategies for a class of finite-memory quantizers for various plant and controller pairs, and observe that the most efficient strategies are non-trivial and time-varying. Throughout, we consider a system in which the plant and feedback controller are separated by a noiseless finite-rate communication channel.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"84 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":"128486390","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.2004.1430254
T. Abdelzaher, T. He, J. Stankovic
Sensor networks have recently emerged as a new paradigm for distributed sensing and actuation. This paper describes fundamental performance trade-offs in sensor networks and the utility of simple feedback control mechanisms for distributed performance optimization. A data communication and aggregation framework is presented that manipulates the degree of data aggregation to maintain specified acceptable latency bounds on data delivery while attempting to minimize energy consumption. An analytic model is constructed to describe the relationships between timeliness, energy, and the degree of aggregation, as well as to quantify constraints that stem from real-time requirements. Feedback control is used to adapt the degree of data aggregation dynamically in response to network load conditions while meeting application deadlines. The results illustrate the usefulness of feedback control in the sensor network domain.
{"title":"Feedback control of data aggregation in sensor networks","authors":"T. Abdelzaher, T. He, J. Stankovic","doi":"10.1109/CDC.2004.1430254","DOIUrl":"https://doi.org/10.1109/CDC.2004.1430254","url":null,"abstract":"Sensor networks have recently emerged as a new paradigm for distributed sensing and actuation. This paper describes fundamental performance trade-offs in sensor networks and the utility of simple feedback control mechanisms for distributed performance optimization. A data communication and aggregation framework is presented that manipulates the degree of data aggregation to maintain specified acceptable latency bounds on data delivery while attempting to minimize energy consumption. An analytic model is constructed to describe the relationships between timeliness, energy, and the degree of aggregation, as well as to quantify constraints that stem from real-time requirements. Feedback control is used to adapt the degree of data aggregation dynamically in response to network load conditions while meeting application deadlines. The results illustrate the usefulness of feedback control in the sensor network domain.","PeriodicalId":254457,"journal":{"name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","volume":"2 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":"130654378","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}