{"title":"Internets in the sky: capacity of 3D wireless networks","authors":"P. Gupta, P. Kumar","doi":"10.1109/CDC.2000.914139","DOIUrl":"https://doi.org/10.1109/CDC.2000.914139","url":null,"abstract":"Consider n nodes located in a sphere of volume V m/sup 3/, each capable of transmitting at a data rate of W bits/sec. Under a protocol based model for successful receptions, the entire network can carry only /spl Theta/(WV1/3n2/3) bit-meters/sec, where 1 bit carried a distance of 1 meter is counted as 1 bit-meter. This is the best possible performance even assuming the node locations, traffic patterns, and the range/power/timing of each transmission, are all optimally chosen. If the node locations and their destinations are randomly chosen, and all transmissions employ the same power/range, then each node only obtains a throughput of /spl Theta/(w/(nlog/sup 2/n)1/3) bits/sec, if the network is optimally operated. Similar results hold under an alternate physical model where a minimum signal-to-interference ratio is specified for successful receptions. The proofs of these results require determination of the VC-dimensions of certain geometric sets, which may be of independent interest.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"32 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133239290","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":"Global output regulation through singularities","authors":"Y. Yamashita, A. Isidori","doi":"10.1109/CDC.2000.912034","DOIUrl":"https://doi.org/10.1109/CDC.2000.912034","url":null,"abstract":"The global output regulation problem using state-feedback for nonlinear systems with no relative degree is considered. We introduce an invariant manifold on which tracking error tends to zero, and through which we derive a coordinate transformation of state. By means of the forwarding design method, it is shown that a simple feedback on the new coordinate attains the global output regulation through singularities.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"293 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133804514","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 hybrid system approach towards redundant fault-tolerant control systems","authors":"Zhenyu Yang","doi":"10.1109/CDC.2000.912902","DOIUrl":"https://doi.org/10.1109/CDC.2000.912902","url":null,"abstract":"This paper discusses the verification problem of redundancy management systems (RMS) in fault-tolerant control by using a hybrid system approach $the discrete-event-system (DES) abstracting strategy. The qualitative fault-tolerant criteria can be formally verified if a DES model is abstracted from the continuous/discrete-time dynamical system in a consistent way. The acquisition of the DES model and verification of fault-tolerant criteria are illustrated based on a concrete RMS of a redundant flight control system.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115364702","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":"Stability preserving mappings for stochastic dynamical systems","authors":"Ling Hou, A. Michel","doi":"10.1109/CDC.2000.914147","DOIUrl":"https://doi.org/10.1109/CDC.2000.914147","url":null,"abstract":"We first formulate a general model for stochastic dynamical systems that is suitable for the stability analysis of invariant sets. This model is sufficiently general to include as special cases most of the stochastic systems considered in the literature. We then adapt several existing stability concepts to this model and we introduce the notion of stability preserving mapping of stochastic dynamical systems. Next, we establish a result which ensures that a function is a stability preserving mapping, and we use this result in proving a comparison stability theorem for general stochastic dynamical systems. We apply the comparison stability theorem in the stability analysis of dynamical systems determined by Ito differential equations.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124117705","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":"Nonlinear control experiments on an axial flow compressor","authors":"D. Fontaine, S. Liao, J. Paduano, P. Kokotovic","doi":"10.1109/CDC.2000.912041","DOIUrl":"https://doi.org/10.1109/CDC.2000.912041","url":null,"abstract":"A nonlinear control law is designed for a low order model of an axial flow compressor with a ring of bleed valves after the last compressor stage. The controller is implemented on a low speed, three stage experimental compressor. The region of attraction guaranteed by the control law is experimentally determined and is larger than that of the uncontrolled compressor.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124260093","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 hierarchical decomposition method for optimal control of hybrid systems","authors":"K. Gokbayrak, C. Cassandras","doi":"10.1109/CDC.2000.912126","DOIUrl":"https://doi.org/10.1109/CDC.2000.912126","url":null,"abstract":"We consider optimal control problems for hybrid systems with a separable cost structure allowing us to decompose them into two components: a lower-level component with time-driven dynamics (describing the physical state of the system) interacting with a higher-level component with event-driven dynamics (describing the changes in the operating modes of the system). We develop a hybrid controller which aims at jointly optimizing the performance of both hierarchical components. We demonstrate this approach on two problems: a linear system switching from one operating mode to another and a multistage manufacturing system. In the first problem, the main difficulty is due to the coupling of the physical states across modes, whereas in the second it is due to the nondifferentiable event-driven dynamics.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124526665","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":"Robust LQ control for harmonic reference/disturbance signals","authors":"Hakan Faroglu, Ö. Morgül","doi":"10.1109/CDC.2000.912289","DOIUrl":"https://doi.org/10.1109/CDC.2000.912289","url":null,"abstract":"Linear quadratic (LQ) controller design is considered for continuous-time systems with harmonic signals of known frequencies and it is shown that the design is reducible to an interpolation problem. All LQ optimal loops are parametrized by a particular solution of this interpolation problem and a (free) stable/proper transfer function. The appropriate choice of this free parameter for optimal stability robustness is formulated as a multiobjective design problem and reduced to a Nevanlinna-Pick interpolation problem with some interpolation points on the boundary of the stability domain. Using a related result from the literature, it is finally shown that, if there is sufficient penalization on the power of the control input, the level of optimum stability robustness achievable with LQ optimal controllers is the same as the level of optimum stability robustness achievable by arbitrary stabilizing controllers.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114717912","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 velocity control of frictional servosystems using an adaptive fuzzy control","authors":"C. Hwang","doi":"10.1109/CDC.2000.912792","DOIUrl":"https://doi.org/10.1109/CDC.2000.912792","url":null,"abstract":"Based on the system relative degree, the frictional servosystem is transformed into external and internal parts. By using a feedback linearizing control, the external part becomes a linear dynamic system with uncertainties. A reference model with the desired amplitude and phase properties is given to obtain an error dynamics in the presence of uncertainties. The unmatched uncertainty is also examined. To improve the system performance, an online fuzzy model is employed to model these uncertainties in a compact subset. An updating law with e-modification for the weight of fuzzy model is designed to obtain an effective learning of the uncertainties. Then, an equivalent control using the known part of frictional servosystem and the learning fuzzy model of uncertainties is established to achieve the desired result. The unmodeled dynamics caused by the error of the approximated fuzzy model and estimated weight are tackled by a switching control. In summary, the adaptive fuzzy control includes two parts: a feedback linearizing control with a reference model and an adaptive fuzzy variable structure control. The stability of the overall system is then verified by Lyapunov theory so that the uniformly ultimately bounded tracking is accomplished. Simulations are also presented to verify the usefulness of the proposed control.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116921803","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":"Optimal fractional controllers for commensurate order systems: A special case of the Wiener-Hopf method","authors":"B. Vinagre, V. F. Batlle","doi":"10.1109/CDC.2000.912740","DOIUrl":"https://doi.org/10.1109/CDC.2000.912740","url":null,"abstract":"In this paper, the authors propose a generalization of the well known Wiener-Hopf design method of optimal controllers and filters, applicable to certain class of systems described by fractional order differential equations, the so called commensurate order systems, i.e., in the Laplace domain, systems described by transfer functions which are not quotients of polynomials in s, but in s/sup /spl alpha//, /spl alpha/=1/q, being q a positive integer. As can be verified in the literature, such transfer functions arise in the characterization of many industrial processes and physical systems which can be adequately modeled using fractional calculus, or when modelling some distributed parameter systems by finite dimensional models. Taking into account that fractional-order systems and controllers have a limited diffusion, after a brief exposition of the principal results of the traditional Wiener-Hopf method, some fundamental considerations about the dynamical properties of such systems are made. After that, the authors propose a procedure that allows the application of the method to the mentioned class of systems. An illustrative example is given.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116978777","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":"Non-smooth stabilizers for nonlinear systems with uncontrollable unstable linearization","authors":"C. Qian, Wei Lin","doi":"10.1109/CDC.2000.912099","DOIUrl":"https://doi.org/10.1109/CDC.2000.912099","url":null,"abstract":"We prove that every chain of odd power integrators perturbed by a C/sup 1/ triangular vector field can be stabilized in the large via continuous state feedback, although it is not stabilizable, even locally, by any smooth state feedback. The proof is constructive and accomplished by developing a machinery-a continuous type of adding a power integrator-that enables one to explicitly design a C/sup 0/ globally stabilizing feedback law as well as a C/sup 1/ control Lyapunov function which is positive definite and proper.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116989932","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}