{"title":"Optimal sensor placement for parametric identification of electrical networks using mixed phasor measurements","authors":"A. Chakrabortty","doi":"10.1109/ACC.2011.5991539","DOIUrl":"https://doi.org/10.1109/ACC.2011.5991539","url":null,"abstract":"In this paper we present an algorithm for placing sensors optimally along the edges of a large network of electrical oscillators to identify a parametric model for the network using a linear combination of three fundamental electrical signals- namely, the magnitude, the phase angle and the frequency of the voltage phasor along each edge, corrupted with Gaussian noise. We pose the identification problem as estimation of four essential parameters for each edge, namely the real and imaginary components of the edge-weight (or, equivalently the resistance and reactance along the transmission line), and the inertias of the two machines connected by this edge. We then formulate the Cramer-Rao bounds for the estimates of these four unknown parameters, and show that the bounds are functions of the sensor locations and of the contribution of each variable in the combined output. We Anally state the condition for finding the optimal sensor location and the optimal signal combination to achieve the tightest Cramer-Rao bound.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117221967","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":"Constrained optimal control for a class of nonlinear systems with uncertainties","authors":"Jie Ding, S. Balakrishnan","doi":"10.1109/ACC.2011.5990893","DOIUrl":"https://doi.org/10.1109/ACC.2011.5990893","url":null,"abstract":"Approximate dynamic programming formulation (ADP) implemented with an Adaptive Critic (AC) based neural network (NN) structure has evolved as a powerful technique for solving the Hamilton-Jacobi-Bellman (HJB) equations. As interest in the ADP and the AC solutions are escalating, there is a dire need to consider enabling factors for their possible implementations. A typical AC structure consists of two interacting NNs which is computationally expensive. In this paper, a new architecture, called the \"Cost Function Based Single Network Adaptive Critic (J-SNAC)\" is presented that eliminates one of the networks in a typical AC structure. This approach is applicable to a wide class of nonlinear systems in engineering. Many real-life problems have controller limits. In this paper, a non-quadratic cost function is used that incorporates the control constraints. Necessary equations for optimal control are derived and an algorithm to solve the constrained-control problem with J-SNAC is developed. A benchmark nonlinear system is used to illustrate the working of the proposed technique. Extensions to optimal control constrained problems in the presence of uncertainties are also considered.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120949107","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}
Stephen T. Mondschein, G. Tao, Jason O. Burkholder
{"title":"Adaptive actuator nonlinearity compensation and disturbance rejection with an aircraft application","authors":"Stephen T. Mondschein, G. Tao, Jason O. Burkholder","doi":"10.1109/ACC.2011.5991153","DOIUrl":"https://doi.org/10.1109/ACC.2011.5991153","url":null,"abstract":"In this paper, three adaptive control designs for systems with unknown dynamics and uncertain actuator nonlinearities and/or actuation disturbances are presented. First, an adaptive design utilizing an adaptive inverse is used to compensate for systems with actuator nonlinearities is developed. Then, an adaptive design to reject actuation disturbances is developed. Finally, an adaptive design is developed to compensate both actuator nonlinearities and actuation disturbances simultaneously. This adaptive control design is applied to an aircraft flight control system model with synthetic jet actuator nonlinearities and wind gust disturbances and simulation results are presented to show the desired adaptive system responses.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121345128","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":"Symmetries and first integrals for nonlinear discrete-time systems","authors":"L. Menini, A. Tornambè","doi":"10.1109/ACC.2011.5990821","DOIUrl":"https://doi.org/10.1109/ACC.2011.5990821","url":null,"abstract":"In this paper, the concepts of Lie symmetry and of first integral for discrete-time nonlinear systems are discussed. Some results that hold for continuous-time nonlinear systems are extended to discrete-time ones. First, the strong relation between symmetries and first integrals is explored. Then the two concepts are studied separately, illustrating some applications of Lie symmetries and giving a computational procedure for the computation of first integrals.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127263160","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 direct adaptive method for discriminating sinusoidal components with nearby frequencies","authors":"Gilberto Pin, T. Parisini","doi":"10.1109/ACC.2011.5991090","DOIUrl":"https://doi.org/10.1109/ACC.2011.5991090","url":null,"abstract":"This paper deals with the on-line simultaneous estimation of frequencies, amplitudes, and phases of a pair of sinusoidal signals with values of the frequencies that are close to each other. The proposed nonlinear parametric identification method is based on the interconnection of two quadrature-based adaptive filters, originally conceived for the extraction of a single sinusoidal signal. The distinctive feature of quadrature based filters, inherited by the method under consideration, consists in performing the adaptation in a parametric space having higher dimensions than the number of unknowns. The stability analysis, based on two-time scale averaging arguments, shows the existence of multiple asymptotically stable manifolds corresponding to the simultaneous detection of the two sinusoidal signals.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"155 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127352408","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":"Self-organizing approximation based control with ℒ1 transient performance guarantees","authors":"Yiming Chen, J. Farrell","doi":"10.1109/ACC.2011.5990904","DOIUrl":"https://doi.org/10.1109/ACC.2011.5990904","url":null,"abstract":"This paper considers tracking control for a n th order system with unknown nonlinearities. A performance dependent self-organizing approximation approach is proposed. The self-organizing approximation based controller monitors the tracking performance and adds basis elements only as needed to achieve the tracking specification. The tracking performance is guaranteed not only in steady state but also in transient with a L1 bound. The low-pass filter used in this control design avoids the high-frequency oscillation while ensuring transient performance. To show the effectiveness of the proposed controller, a numerical example is included.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127363926","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":"Second level adaptation using multiple models","authors":"Zhuo Han, K. Narendra","doi":"10.1109/ACC.2011.5991086","DOIUrl":"https://doi.org/10.1109/ACC.2011.5991086","url":null,"abstract":"The concept of using multiple models to cope with transients which arise in adaptive systems with large parametric uncertainties was introduced in the 1990s. Both switching between multiple fixed models, and switching and tuning between fixed and adaptive models was proposed, and the stability of the resulting schemes was established. In all cases, the number of models needed is generally large, and the models used do not cooperate in any real sense. It was recently shown by the authors that if it is known a priori that the unknown plant parameter vector lies in the convex hull of a set of adaptive model parameter vectors at the initial time, it will remain in the convex hull of the parameters even as they evolve with time [1]. Later, a stability result was derived in [2] which decouples the stability and performance issues. In this paper, a new concept of second level adaptation is introduced to develop different stable strategies which improve the performance of the overall system. Simulation results are provided to illustrate the effectiveness of the proposed scheme in a rapidly time-varying environment, and are shown to be far superior to existing schemes.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127496349","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":"Anti-windup design via nonsmooth multi-objective H∞ optimization","authors":"J. Biannic, P. Apkarian","doi":"10.1109/ACC.2011.5991186","DOIUrl":"https://doi.org/10.1109/ACC.2011.5991186","url":null,"abstract":"This paper investigates constrained control design problems involving mixed magnitude and rate saturations. We show that simultaneous design of structured feedback and anti windup gains can be recast as minimizing two H∞-norm objectives. One is associated with nominal system operation while the other also captures the saturations effects. Because of the two-block structure of the controller, the problem is inherently difficult. We use recently available tools in nonsmooth optimization to compute controller components in a single run thereby alleviating the conservatism of more conventional schemes. The proposed methodology is applied to an aircraft control problem for which a PID feedback controller and a second-order anti-windup compensator are optimized simultaneously.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"161 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125181618","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 frequency response of the nonlinear second order system","authors":"A. Omran, B. Newman","doi":"10.1109/ACC.2011.5990637","DOIUrl":"https://doi.org/10.1109/ACC.2011.5990637","url":null,"abstract":"This paper develops generalized analytical first and second order transfer functions for the nonlinear second order system. A periodic input is also conducted to characterize the overall system response from the fundamental components. The proposed analytical solution provides more understanding of the influence of each linear and nonlinear component on the overall system behavior.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125299436","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 stabilization of sampled-data distributed processes using a dynamic sensor-controller communication logic","authors":"Zhiyuan Yao, N. El‐Farra","doi":"10.1109/ACC.2011.5990906","DOIUrl":"https://doi.org/10.1109/ACC.2011.5990906","url":null,"abstract":"This paper presents a methodology for the robust stabilization of spatially distributed processes with sampled sensor measurements that are transmitted to the actuators over a resource-constrained communication medium. Initially, a finite-dimensional system that captures the slow process dynamics is derived and used to design a Lyapunov-based controller that enforces closed-loop stability in the absence of communication suspensions. An explicit characterization of the stability properties of the closed-loop system under discrete measurement sampling is obtained and then used to devise a dynamic communication logic which can adaptively adjust the rate of information transfer from the sensors to the controller. The key idea is to monitor the evolution of the Lyapunov function at the sampling times and suspend communication for periods when the prescribed stability threshold is satisfied. During such periods, the controller switches to a finite-dimensional model that provides estimates of the slow states to compute the control action. At times when the sampled state begins to breach the expected stability threshold, communication is restored and the controller switches back to the sampled measurements. The results are illustrated through an application to a representative diffusion-reaction process.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125441441","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}