{"title":"An exponential class of model-free visual servoing controllers in the presence of uncertain camera calibration","authors":"Yongchun Fang, W. Dixon, D. Dawson, Jing Chen","doi":"10.1109/CDC.2003.1272494","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272494","url":null,"abstract":"In recent papers, a new class of model-free (i.e., the 3-dimensional task-space model of the object is unknown) visual servoing methods was proposed that are based on the estimation of the relative camera orientation between two views of an object. By utilizing homography-based techniques, the control problem is decoupled by separating the rotation and translation components. A single controller is used to control the rotation component, and the class members consist of various translation controllers. Each of the current class members has been proven to yield asymptotic regulation in the presence of uncertainty in the intrinsic and extrinsic calibration parameters. New control development and stability analysis techniques are crafted in this paper to develop a new translation controller that yields exponential rotation and translation regulation in the presence of uncertainty in the intrinsic and extrinsic calibration parameters. Extensions to this research can be used to yield exponential regulation by the other translation controllers in the asymptotic class presented.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117323773","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 Lyapunov-based feedback control of nonlinear Web-winding systems","authors":"M. D. Baumgart, L. Pao","doi":"10.1109/CDC.2003.1272347","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272347","url":null,"abstract":"Web-winding systems such as tape drives are often modeled as linear and time-invariant (LTI), but at least two nonlinearities are common in these systems. First, the reel radii and moments of inertia change as web media spools from one reel to another. Second, friction can draw a thin layer of air between the layers of web media wrapped on the takeup reel, making the system's spring and damping characteristics nonlinear by allowing a greater length of media to vibrate freely. Little has been published regarding the dynamic behavior of this \"air entrainment\" phenomenon. This paper first describes a model for web-winding systems that includes these nonlinearities. No particular model is taken for air entrainment; it is only assumed that its effects are bounded in a certain sense. It is further assumed that the motor parameters are not known exactly. Feedback linearization, state feedback, and changes of variables are then used to transform the system into decoupled and intuitively meaningful tension and velocity loops. Lyapunov redesign techniques are then used to develop control laws that are robust with respect to the motor parameters. Under these laws, velocity error is exponentially-stable and tension error satisfies a desired bound for all time - with tension error also exponentially stable in the steady-state case. Simulations illustrate the performance of these schemes.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130784489","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":"Adaptive gain sliding observer based sliding controller for uncertain parameters nonlinear systems. Application to flexible joint robots","authors":"A. Filipescu, L. Dugard, J. Dion","doi":"10.1109/CDC.2003.1271696","DOIUrl":"https://doi.org/10.1109/CDC.2003.1271696","url":null,"abstract":"An adaptive gain smooth sliding controller, based on a smooth sliding observer, is developed to control nonlinear SISO affine systems with uncertain parameters and state functions. Furthermore, an adaptively updated parameter term is introduced in the steady state space model of the controlled system in order to obtain useful information despite fault detection. Using a sliding observer with smooth switching function and adaptive gain increases the robustness w.r.t. uncertainties. The adaptive gains smooth sliding observer and controller are designed to fulfill the attractiveness condition on the corresponding switching surfaces. An application to a single arm, flexible joint robot is presented. In order to alleviate chattering in the observer and the controller, a parameterized tangent hyperbolic is used as a switching function, instead of a pure relay one. The gain of the switching function is adaptively updated, depending on the estimation error or on tracking error.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131156315","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}
V.M. Hernandez, R. Silva-Ortigoza, H. Sira-Ramírez
{"title":"On the stability of limit cycles in resonant dc-to-dc power converters","authors":"V.M. Hernandez, R. Silva-Ortigoza, H. Sira-Ramírez","doi":"10.1109/CDC.2003.1272761","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272761","url":null,"abstract":"In this note, we use the Poincare map to study the stability of induced limit cycles in a series resonant dc-to-dc power converter. We prove global exponential stability of the unique limit cycle. We establish a means of computing a priori the voltage supplied to the load. We also study the robustness properties of the output voltage when different values of load are used. Finally, we succeed to compute the ripple voltage. Some simulation results are presented to verify our findings.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131102070","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":"Approximate stabilisation of uncertain hybrid systems with controllable transitions","authors":"Yan Gao, J. Lygeros, M. Quincampoix, N. Seube","doi":"10.1109/CDC.2003.1272853","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272853","url":null,"abstract":"Stabilization of uncertain hybrid systems with controllable transitions is considered. Uncertainty enters in the form of a disturbance input that can affect both the continuous and the discrete dynamics. A method for designing piecewise constant feedback controllers is developed. The controllers achieve approximate exponential convergence of the runs of the closed loop system to the zero level set of a Lyapunov function.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133553995","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":"Realization of interconnected nonlinear input-output discrete-time systems","authors":"S. Nõmm","doi":"10.1109/CDC.2003.1272800","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272800","url":null,"abstract":"The majority of control techniques for nonlinear systems are based on state-space description, the problem of finding state-space realization of input-output system is an important task. This paper is devoted to the problem of realizability of the interconnections of the nonlinear discrete- time input-output systems. Necessary and sufficient conditions are given for the existence of a state-space realization for the cases of series and parallel interconnections of the systems represented by the input-output difference equation. Constructive (up to integrating differential one forms) procedures to obtain a realizations for such composite systems are given.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133564436","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":"Cryptography by discrete-time hyperchaotic systems","authors":"I. Belmouhoub, M. Djemaï, J. Barbot","doi":"10.1109/CDC.2003.1272893","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272893","url":null,"abstract":"Through out this paper a new secured data transmission based on a discrete time hyperchaotic cryptography is presented. First, this technique is implemented for a Rossler hyperchaotic generator. Then, the formal approach of this technic is developed for triangular systems. Some open questions and future investigations conclude this paper.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"168 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133411116","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":"Piecewise polynomial Lyapunov functions for a class of switched nonlinear systems","authors":"D. Coutinho, A. Trofino","doi":"10.1109/CDC.2003.1271820","DOIUrl":"https://doi.org/10.1109/CDC.2003.1271820","url":null,"abstract":"This paper proposes sufficient conditions to the regional stability analysis of switched nonlinear systems with time-varying parameters. The nonlinear sub-modes of operation are described by means of differential-algebraic equations involving the state and an auxiliary nonlinear vector. We then use piecewise polynomial Lyapunov functions and a relaxation technique that lead to a convex characterization of the problem in terms of linear matrix inequalities.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132095460","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":"MCS adaptive control of vehicle dynamics: an application of bifurcation techniques to control system design","authors":"Bruno Catino, S. Santini, M. Bernardo","doi":"10.1109/CDC.2003.1272953","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272953","url":null,"abstract":"In vehicle dynamics, active control is often necessary to extend the open-loop stability range in critic or hard road conditions. Active control of steering angle results in an extension of car stability and safety. In this paper, an adaptive minimal control synthesis algorithm is proposed for active steering. This method offers an efficient way of solving control problem strongly affected by parametric and modelling uncertainties, as in our case of study, where tire-force characteristics, modelled with the \"magic formula\", are not known a priori. The control action is synthesized starting from a bifurcation analysis of the open-loop nonlinear plant. The effectiveness of the proposed method is tested through numerical simulation of the time-trajectories and the numerical continuation of the steady-state behaviour of the closed-loop vehicle.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132565770","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":"Formation control of a multi-agent system using decentralized nonlinear servomechanism","authors":"V. Gazi","doi":"10.1109/CDC.2003.1273002","DOIUrl":"https://doi.org/10.1109/CDC.2003.1273002","url":null,"abstract":"In this article we consider the formation control problem of a system of M agents with general nonlinear dynamics. We show that the problem of the agents moving in a formation along constant or periodic trajectories can be formulated as a nonlinear output regulation (servomechanism) problem and solved using known techniques. Then, we consider the example of formation control of agents with point mass dynamics and apply the procedure. Few illustrative numerical simulation examples are also provided.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"4 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132581108","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}