{"title":"Stability analysis of stochastically varying formations of dynamic agents","authors":"V. Gupta, B. Hassibi, R. Murray","doi":"10.1109/CDC.2003.1272613","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272613","url":null,"abstract":"We analyze a network of dynamic agents where the topology of the network specifies the information flow between the agents. We present an analysis method for such a system for both consensus and formation stabilization problems. To consider the general features introduced by the information flow topology, we consider the case of agent dynamics being a single integrator. Then we show that the method of analysis can be extended to more general cases of complicated agent dynamics, non-ideal links for information flow, etc. We also consider the case when the topology of the network is changing over time. The focus of the paper is on obtaining conditions for the stability of the formation that can be checked in a decentralized way.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"1 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":"115769658","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 computing the L/sup 2/-induced norm of finite-horizon systems","authors":"Bassam Bamieh","doi":"10.1109/CDC.2003.1272884","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272884","url":null,"abstract":"We present a bisection type algorithm for computing the L/sup 2/-induced norm of a linear time invariant system over a finite time horizon. The main difficulty in using bisection algorithms for finite horizon norm computation, namely the discreteness of the spectrum, is circumvented by using a winding number method. We derive an integral formula that counts the number of singular values of the finite horizon operator that are larger than a certain pre-specified level.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"88 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":"115825054","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":"Generalized quadratic stability for perturbated singular systems","authors":"G. Lu, D. Ho, L. F. Yeung","doi":"10.1109/CDC.2003.1272981","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272981","url":null,"abstract":"This paper considers the generalized quadratic stability problem for continuous-time singular systems with nonlinear perturbation. The perturbation is a function of time and system state and satisfies a Lipschitz constraint. In this work, a sufficient condition for the existence and uniqueness of solution to the singular systems is firstly presented. Then by using S-procedure and matrix inequality approach, a necessary and sufficient condition is presented in terms of linear matrix inequality, under which the maximal perturbation bound is obtained to guarantee the generalized quadratic stability of the system. That is, the system remains exponential stable and the nominal system is regular and impulse free. Furthermore, robust stability for nonsingular systems with perturbation can be obtained as a special case. Finally, the effectiveness of the developed approach is illustrated by a numerical example.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"57 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":"131379199","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 note on computing polynomial filters for robust SPR of systems with polyhedral uncertainty","authors":"G. Bianchini","doi":"10.1109/CDC.2003.1272425","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272425","url":null,"abstract":"This paper addresses the robust strict positive realness (RSPR) problem when the uncertain polynomial family is defined by an l/sub /spl infin// ball in coefficient space. A new characterization of the filters solving such problem is proposed. This characterization is exploited numerically to devise polynomial filters with guaranteed l/sub /spl infin// robustness margin.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"1 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":"131380934","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}
M. Baglietto, M. Paolucci, L. Scardovi, R. Zoppoli
{"title":"Entropy-based environment exploration and stochastic optimal control","authors":"M. Baglietto, M. Paolucci, L. Scardovi, R. Zoppoli","doi":"10.1109/CDC.2003.1273072","DOIUrl":"https://doi.org/10.1109/CDC.2003.1273072","url":null,"abstract":"This paper deals with the problem of mapping an unknown environment by a team of autonomous decision makers. A discrete grid map of the environment is considered in which each cell is labeled as free or not free, depending on the presence of an obstacle. The decision makers can communicate with one another. A preliminary study of the problem in the framework of stochastic optimal control is presented. The tradeoff between the exploration cost and the information gain (exploiting the concept of entropy) is addressed. Numerical results show the effectiveness of the approach.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"35 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":"132306778","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":"Relay feedback tuning of robust PID controllers with iso-damping property","authors":"Y. Chen, Chia-Chen Hu, K. Moore","doi":"10.1109/CDC.2003.1272941","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272941","url":null,"abstract":"A new tuning method for PID controller design is proposed for a class of unknown, stable, and minimum phase plants. We are able to design a PID controller to ensure that the phase Bode plot is flat, i.e., the phase derivative w.r.t. the frequency is zero, at a given frequency called the \"tangent frequency\" so that the closed-loop system is robust to gain variations and the step responses exhibit an iso-damping property. At the \"tangent frequency\", the Nyquist curve tangentially touches the sensitivity circle. Several relay feedback tests are used to identify the plant gain and phase at the tangent frequency in an iterative way. The identified plant gain and phase at the desired tangent frequency are used to estimate the derivatives of amplitude and phase of the plant with respect to frequency at the same frequency point by Bode's integral relationship. Then, these derivatives are used to design a PID controller for slope adjustment of the Nyquist plot to achieve the robustness of the system to gain variations. No plant model is assumed during the PID controller design. Only- several relay tests are needed. Simulation examples illustrate the effectiveness and the simplicity of the proposed method for robust PID controller design with an iso-damping property.","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":"130151950","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":"Input-output feedback linearization of nonlinear time-delay systems","authors":"Luis Alejandro Marquez Martinez, C. Moog","doi":"10.1109/CDC.2003.1272273","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272273","url":null,"abstract":"In this paper, the input-output linearization problem for a class of single-input single-output nonlinear systems with multiple delays in the input and the state is studied. The problem is solved by means of various static or dynamic compensators, including state and output feedback. The mathematical setting is based on so-called Roesser models for this class of systems and on some noncommutative algebraic tools. These are claimed to be the cornerstones for studying nonlinear time delay systems. Necessary and sufficient conditions are given for the existence of a static or pure shift output feedback which solves the input-output linearization problem. Sufficient conditions for the existence of a dynamic state feedback solution are included as well.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"52 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":"130280235","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 quality in nonlinear SM identification","authors":"M. Milanese, C. Novara","doi":"10.1109/CDC.2003.1272183","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272183","url":null,"abstract":"In the paper, the problem of identifying nonlinear regression models with \"small\" simulation errors is investigated. Models identified by classical methods minimizing the prediction error, do not necessary give \"good\" simulation error on future inputs and even boundedness of this error is not guaranteed. In the paper, it is shown that using the set membership (SM) identification method of [M. Milanese and C. Novara, 2003], conditions can be derived, assuring boundedness of simulation errors for future inputs. First, conditions are given, assuring that the solutions of the model derived by the optimal SM identification algorithm are uniformly exponentially stable. A quantity r/sub I/, called radius of information, is also derived, giving the worst-case L/sub /spl infin// norm of the error of the estimated regression function for all regressors in a domain of interest W. Then, under the same conditions giving stability of the identified model solutions, it is shown that, for all initial conditions and input sequences giving solutions of the system to be identified in the domain W, the simulation error can be bounded as a function of r/sub I/ that goes to zero as r/sub I/ decreases to zero. A numerical example demonstrates the effectiveness of the presented theoretical results.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"189 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":"134065005","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":"Analysis of the semilinear Duhem model for rate-independent hysteresis","authors":"J. Oh, D. Bernstein","doi":"10.1109/CDC.2003.1272285","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272285","url":null,"abstract":"In this paper we consider a generalized Duhem model for hysteresis and provide a sufficient condition for the existence of hysteresis in the input-output map. Hysteresis is defined to be persistent phase shift at arbitrarily low frequency. The rate dependence of the hysteresis is also discussed, and we develop a rate-independent semilinear Duhem model with provable convergence properties. We also discuss the reversal behavior and orientation of the hysteretic map.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"11 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":"134201187","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":"Boundary reconstruction and geometric parameterisation for plasma shape control","authors":"A. Beghi, A. Cenedese","doi":"10.1109/CDC.2003.1272291","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272291","url":null,"abstract":"Based on modern active vision techniques, a new methodology for plasma shape reconstruction has been developed. This approach leads to a new formulation of plasma boundary as a continuous contour and allows the definition of control relevant parameters, which appear to describe the discharge evolution in a quite realistic way. In this sense, using the whole curve information or the shape descriptors derived from it, either a total shape control or a shape parameter control can be designed.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"19 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":"134444842","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}