{"title":"Observability properties of Petri nets","authors":"A. Giua, C. Seatzu","doi":"10.1109/CDC.2000.914209","DOIUrl":"https://doi.org/10.1109/CDC.2000.914209","url":null,"abstract":"We discuss the problem of estimating the marking of a place/transition net based on event observation. We assume that the net structure is known while the initial marking is unknown. We define several observability properties and show how they can be proved. In particular, we set up a hierarchy considering the possibility that the above properties are satisfied by a net N starting from an initial marking M/sub 0/, by a net N starting from any initial marking M reachable from an initial marking M/sub 0/, or by a net N starting from any marking in N/sup m/, where m is the number of places of the net.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"127 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":"127226668","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":"Hybrid control laws from convex dynamic programming","authors":"S. Hedlund, A. Rantzer","doi":"10.1109/CDC.2000.912810","DOIUrl":"https://doi.org/10.1109/CDC.2000.912810","url":null,"abstract":"In our previous paper (1999), we showed how classical ideas for dynamic programming in discrete networks can be adapted to hybrid systems. The approach is based on discretization of the continuous Bellman inequality which gives a lower bound on the optimal cost. The lower bound is maximized by linear programming to get an approximation of the optimal solution. In this paper, we apply ideas from infinite-dimensional convex analysis to get an inequality which is dual to the well known Bellman inequality. The result is a linear programming problem that gives an estimate of the approximation error in the previous numerical approaches.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"34 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":"127355827","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":"Effects of radial shifts of eigenvalues on norms of linear systems","authors":"J. Medanic","doi":"10.1109/CDC.2001.914725","DOIUrl":"https://doi.org/10.1109/CDC.2001.914725","url":null,"abstract":"We show that for linear systems represented in the controllable canonical form there are simple and systematic changes in the input/output properties of the closed-loop system from the disturbance input to the system output when controls are applied to produce a radial displacement of all the closed-loop poles. In particular this is true for the transfer function and the impulse response of the systems. This in turn leads to a better understanding of how such changes in the control gains affect the induced L/sub 2/ norm, (the H/sub 2/ norm) and the induced L/sub /spl infin// norm (the L/sub 1/ norm) of the 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":"127507061","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":"Three dimensional structure estimation and planning with vision and range","authors":"Li Zhang, B. Ghosh","doi":"10.1109/CDC.2000.914181","DOIUrl":"https://doi.org/10.1109/CDC.2000.914181","url":null,"abstract":"A 3D structure estimation approach is proposed. The uniqueness of the approach lies in the fusion of vision and 2D range, which is a common sensor combination for mobile robots. 2D range information can be used for hypothesizing 3D structures, feature association, and improving the estimate accuracy. These problems are difficult to solve if using only vision. The proposed approach will be beneficial to 3D map building in mobile robots. Experimental results validate the effectiveness of the approach.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"34 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":"124957226","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":"Noncausal robust set-point regulation of nonminimum-phase scalar systems","authors":"A. Piazzi, A. Visioli","doi":"10.1109/CDC.2000.912357","DOIUrl":"https://doi.org/10.1109/CDC.2000.912357","url":null,"abstract":"In this paper we propose a method, based on dynamic inversion, for the set-point-regulation of uncertain nonminimum-phase scalar systems. In particular the worst-case settling time is minimized taking into account an amplitude constraint on the control variable and limits on the overshoot and undershoot of the output function. The application of the devised methodology yields to the connected design of both the controller and the reference command input. The latter is obtained by solving a special stable inversion problem on the nominal dynamic system that leads to a noncausal signal, causing the preaction control. Eventually, an optimization problem arises and its solution is gained by means of genetic algorithms. A simulation example shows the effectiveness of the overall methodology, despite the inherent difficulty of the addressed problem.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"147 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":"123778479","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":"State-space estimation with uncertain data: finite and infinite-horizon results","authors":"A. H. Sayed","doi":"10.1109/CDC.2001.914664","DOIUrl":"https://doi.org/10.1109/CDC.2001.914664","url":null,"abstract":"Develops a robust estimation procedure for state-space models with parametric uncertainties. Compared with existing robust filters, the proposed filter performs data regularization rather than de-regularization. It is shown that, under certain stabilizability and detectability conditions, the steady-state filter is stable and that, for quadratically-stable models, it guarantees a bounded error variance.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"7 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":"125435578","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 the finite length DFT of input-output signals of multivariable linear systems","authors":"T. McKelvey","doi":"10.1109/CDC.2001.914780","DOIUrl":"https://doi.org/10.1109/CDC.2001.914780","url":null,"abstract":"The exact relation between the discrete Fourier transform (DFT) of the input and the DFT of the output of a finite dimensional MIMO linear system is established for the case of an arbitrary excitation signal and finite number of signal samples. The derived expression also includes the colored noise case.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"92 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":"126852825","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":"Observability of perspective dynamical systems","authors":"H. Inaba, Akifumi Yoshida, R. Abdursul, B. Ghosh","doi":"10.1109/CDC.2001.914771","DOIUrl":"https://doi.org/10.1109/CDC.2001.914771","url":null,"abstract":"Perspective dynamical systems arise in machine vision, and the essential problem in such a system is how to determine any unknown states and/or any unknown parameters from its perspective observation. Considering simple perspective dynamical systems, we study the state observability and the parameter identifiability of such systems, using the differential geometric method, that is, the observability rank condition, which has been developed for general nonlinear systems, and present various necessary and/or sufficient conditions for observability and/or identifiability.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"04 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":"115575678","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":"Inverse optimal H/sub /spl infin// disturbance attenuation for planar manipulators with the eye-in-hand system","authors":"M. Fujita, A. Maruyama, Manabu Watanabe, H. Kawai","doi":"10.1109/CDC.2000.912330","DOIUrl":"https://doi.org/10.1109/CDC.2000.912330","url":null,"abstract":"Deals with an inverse optimal H/sub /spl infin// disturbance attenuation for planar manipulators with an eye-in-hand system. The input-to-state stability control Lyapunov function (ISS-CLF) is constructed the full Lagrangian dynamics based on a potential function of the image feature parameter space. The ISS-CLF gives us an inverse optimal H/sub /spl infin// control law. A proposed controller solves the inverse optimal H/sub /spl infin// control problem by minimizing a cost functional, and the closed-loop system with the proposed controller is input-to-state stable. Further, we discuss that the inverse optimal H/sub /spl infin// controller has robustness against input uncertainties.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"41 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":"116396135","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 analysis of a high-resolution optical wave-front control system","authors":"E. Justh, P. Krishnaprasad, M. Vorontsov","doi":"10.1109/CDC.2000.912208","DOIUrl":"https://doi.org/10.1109/CDC.2000.912208","url":null,"abstract":"A class of feedback systems for high-resolution optical wave-front control (of adaptive optic wave-front distortion suppression) is modeled and analyzed. Under certain conditions, the nonlinear dynamical system models obtained are shown to be gradient systems, with energy functions that also serve as Lyapunov functions. The approach is applied to a problem of nonlinear control system design, and the analysis is also applicable to other problems involving high-resolution control of physical fields, particularly if the field sensing is performed optically.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"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":"116531224","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}