{"title":"Throughput in multiple service, multiple resource communication networks","authors":"S. Jordan, P. Varaiya","doi":"10.1109/CDC.1989.70110","DOIUrl":"https://doi.org/10.1109/CDC.1989.70110","url":null,"abstract":"The performance of a telecommunication system is analyzed in terms of the ability of a set of identical resources or servers to process a stream of identical requests. The approach taken is to model this as a point process of identical requests being processed by several identical servers under a variety of disciplines. The introduction of greater intelligence in the signaling system and large communication bandwidth make possible the processing of different types of complex requests using different kinds of resources simultaneously. This situation is modeled as a point process of several request types being processed by several different kinds of servers. The simplest discipline is assumed: a request is accepted if the necessary servers are available; otherwise it is rejected. Two results are obtained. The first gives the sensitivity of throughput of requests of type i with respect to offered traffic and service rates of type j. The second result is that the set of vectors of a achievable throughput rates is a convex polyhedron given by an explicit set of linear inequalities.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130246491","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":"Passive computed torque algorithms for robots","authors":"R. Anderson","doi":"10.1109/CDC.1989.70426","DOIUrl":"https://doi.org/10.1109/CDC.1989.70426","url":null,"abstract":"Computed torque algorithms are used to compensate for the changing dynamics of robot manipulators in order to ensure that a constant level of damping is maintained for all configurations. There are three significant problems with existing computed torque algorithms. First, they are nonpassive and, as shown, can lead to unstable behavior; second, they make poor use of actuator capability; and third, they cannot be used to maintain a constant end-effector stiffness for force control tasks. A new class of passive computed torque controller which have guaranteed stability properties, utilize actuators effectively, and maintain constant end-effector stiffness is introduced. Network models are used to motivate and illustrate the approach.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134241333","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":"Certainty equivalence control with forcing: revisited","authors":"R. Agrawal, D. Teneketzis","doi":"10.1109/CDC.1989.70538","DOIUrl":"https://doi.org/10.1109/CDC.1989.70538","url":null,"abstract":"Summary form only given, as follows. Stochastic adaptive optimization problems are considered with the objective of minimizing the rate of increase of the learning loss, i.e. the additional cost one has to pay due to the inbuilt learning tasks in such problems. In particular, an examination is made of two problems: the multiarmed bandit problem, and the adaptive control of Markov chains. Previous work has shown that the minimum rate of increase of the learning loss for these problems is typically O(log n). The schemes that achieve this minimum are quite complicated. The authors show that, with simple schemes of the certainty equivalence control with forcing type, one can come arbitrarily close to the optimal performance. Specifically, they construct a class of schemes so that, for any delta >0, they have a scheme whose learning loss is O((log n)/sup 1+ delta /).<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134180089","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":"The explicit relation between component cost analysis and balanced coordinates","authors":"R. Skelton","doi":"10.1109/CDC.1989.70354","DOIUrl":"https://doi.org/10.1109/CDC.1989.70354","url":null,"abstract":"To provide a mathematical basis for a systematic analysis of high gain state feedback, one must first understand limits of generalized state-space systems under transformations by restricted system equivalence. This is the basic question addressed in the paper. The relationship between balanced coordinates and cost-decoupled coordinates are given. When the output and weight matrices are appropriately defined the cost-decoupled coordinates produce the balanced coordinates as a special case.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134353718","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":"Application of nonlinear control methods to the positioning of a permanent magnet stepper motor","authors":"M. Bodson, J. Chiasson","doi":"10.1109/CDC.1989.70170","DOIUrl":"https://doi.org/10.1109/CDC.1989.70170","url":null,"abstract":"The application of modern nonlinear control theory to the fast and accurate positioning of stepping motors is discussed. The mathematical model of a permanent magnet stepper motor is presented. Control algorithms based on a feedback linearization approach are presented and contrasted with current techniques. Methods to determine the unknown motor parameters in real-time and normal operation are also discussed. These allow for straightforward extensions of the control algorithms to adaptive control. An experimental setup to evaluate the performance of the overall system is described.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131553503","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":"Model reduction by low frequency approximation of internally balanced representation","authors":"R. Prakash, S. Rao","doi":"10.1109/CDC.1989.70612","DOIUrl":"https://doi.org/10.1109/CDC.1989.70612","url":null,"abstract":"A modified balancing model-reduction method is proposed for frequency domain robust control system design. The reduced-order model is obtained by approximating the states of the weak subsystem of the balanced representation around zero frequency. Several properties and error bounds of the reduced model are derived. A critical comparison is made with B.C. Moore's (1981) reduced-order model obtained by direct truncation. A numerical example is included.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131800295","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":"On closed-loop liveness of discrete event systems under maximally permissive control","authors":"L. Holloway, B. Krogh","doi":"10.1109/CDC.1989.70674","DOIUrl":"https://doi.org/10.1109/CDC.1989.70674","url":null,"abstract":"A class of controlled discrete-event systems that can be modeled as cyclic controlled marked graphs (CMGs), a special case of control Petri nets, is considered. Liveness of the controlled system under the maximally permissive feedback control is examined. In the CMG context, closed-loop liveness implies that from any reachable marking (state), any transition can be enabled to fire. The concept of synchronic distances in Petri nets is used to prove sufficient conditions under which the maximally permissive control results in a live closed-loop system.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132943496","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 study on the movement capability of robot manipulators","authors":"C. Wu, C. Jou","doi":"10.1109/CDC.1989.70627","DOIUrl":"https://doi.org/10.1109/CDC.1989.70627","url":null,"abstract":"A method is presented for characterizing the workspace and arranging the layout of a path for a robot manipulator from the viewpoint of movement speed performance. To measure the movement capability of a manipulator, the concept of speed radius is introduced. This index is defined on the basis of the relationship between the forces/torques exerted at joint actuators and the local geometric characteristics of the manipulator. Some properties of this measure are established. It is shown that the magnitude of the speed radius is not only constrained by the dynamics of the manipulator but also determined by the geometry of the path traced by the end-effector of the manipulator. To demonstrate the proposed scheme, a two-link planar manipulator is analyzed and its best posture is obtained by the developed measure for the movement speed capability. Applications of this scheme for path planning and workspace specification are presented. Simulations on several major issues are provided.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132595524","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":"Peaking and stabilization","authors":"H. J. Sussmann, P. Kokotovic","doi":"10.1109/CDC.1989.70366","DOIUrl":"https://doi.org/10.1109/CDC.1989.70366","url":null,"abstract":"The possibility of globally stabilizing, by means of a smooth state feedback, systems obtained by cascading a linear controllable system and a general nonlinear system is studied. In general, stabilizing the linear part with very negative eigenvalues does not suffice to stabilize the whole system, because of the peaking phenomenon: for a linear controllable system it is always possible to choose a feedback that will have poles with a very negative real part, but in general the resulting trajectories go far away before they go to zero. This poses an obstruction to the stabilization of globally minimum phase systems that can be compensated for if the derivatives of the nonlinear part have sufficiently slow growth. Theorems giving sufficient conditions for stabilizability in terms of such growth conditions are proved.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132620951","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":"Frequency domain analysis of Hopf bifurcations in electric power networks","authors":"H. Kwatny, G.E. Piper","doi":"10.1109/CDC.1989.70475","DOIUrl":"https://doi.org/10.1109/CDC.1989.70475","url":null,"abstract":"An approach is discussed for studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation. The method is based on a frequency-domain version of the Hopf bifurcation theorem due to A. Mees and L. Chua (1979) and is suitable for the detailed study of large-scale systems. The practical importance of establishing the type of Hopf bifurcation, i.e., subcritical or supercritical, is emphasized. Systems which operate near a subcritical Hopf bifurcation point are clearly vulnerable to disturbances.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"268 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130758812","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}