{"title":"Controlling flutter for nonlinear panels in subsonic flows via structural velocity feedback","authors":"I. Lasiecka, J. Webster","doi":"10.1109/CDC.2014.7039443","DOIUrl":"https://doi.org/10.1109/CDC.2014.7039443","url":null,"abstract":"Mechanical control of flutter for a thin panel immersed in an inviscid flow is considered. The model arises in aeroelasticity and comprises the interaction between a clamped von Karman plate a surrounding potential flow of gas. Recent results show that the plate dynamics of the model converge to a global compact attracting set of finite dimension [6]. This result was obtained in the absence of mechanical damping of any type. Here, we incorporate a sufficiently large velocity feedback control applied to the structure to show that the full flow-plate system exhibits strong convergence to a stationary state (when flows are subsonic and a “good” energy identity is available). Our method is based on first showing the desired convergence properties when the plate dynamics exhibit additional regularity. We then show a dichotomy for the plate dynamics: they are either asymptotically regular or the plate velocities decay uniformly exponentially. In the case when no additional plate regularity is available, we utilize an approximation by smooth initial data; this requires propagation of initial regularity on the infinite time horizon. The final result complements results previous obtained (for this model and similar models), as we show that there is a strong convergence for the entire dynamics and that the limiting behavior of the flow-plate system is, in fact, stationary. Physically, this implies that flutter (a non-static end behavior) can be eliminated by a velocity feedback control in subsonic flows.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"27 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120921139","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 observer design for a class of continuous-time affine switched or switching systems","authors":"L. Menini, C. Possieri, A. Tornambè","doi":"10.1109/CDC.2014.7040366","DOIUrl":"https://doi.org/10.1109/CDC.2014.7040366","url":null,"abstract":"The main goal of this paper is to design a state observer for a class of affine switched or switching dynamical systems, without requiring the knowledge of the switching signal. To reach such a goal some tools, taken from Algebraic Geometry, are used to express the switching signal as a function of the output and its time derivatives. Then, similar tools are used to design an observer to estimate both the switching signal and the state of the system. A physically motivated example of application is reported.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"154 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114116223","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":"Minimum switching limit cycle oscillations for systems of coupled double integrators","authors":"A. Garulli, Antonio Giannitrapani, Mirko Leomanni","doi":"10.1109/CDC.2014.7040114","DOIUrl":"https://doi.org/10.1109/CDC.2014.7040114","url":null,"abstract":"In this paper, we study the limit cycle oscillations of multiple double integrators with coupled dynamics, subject to a constant disturbance term and switching inputs. Such systems arise in a variety of control problems where the minimization of both fuel and number of input transitions is a key requirement. The problem of finding the minimum switching limit cycle, among all the fuel-optimal solutions satisfying given state constraints, is addressed. Starting from well known results available for a single double integrator, two suboptimal solutions are provided for the multivariable case. First, an analytic upper bound on the number of input switchings is derived. Then, a less conservative numerical solution exploiting the additional degrees of freedom provided by the phases of the limit cycles is presented. The proposed techniques are compared on two simulation examples.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116312465","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":"Binary consensus through binary communication","authors":"Jemin George, A. Swami","doi":"10.1109/CDC.2014.7039467","DOIUrl":"https://doi.org/10.1109/CDC.2014.7039467","url":null,"abstract":"The problem of binary consensus for an undirected, synchronous, fixed topology network through noiseless, binary communication is the focus of this paper. We propose a binary consensus protocol that guarantees network convergence to the initial network majority via binary communication among one-hop neighbors. The proposed protocol requires the nodes to keep track of an internal state, which accounts for the local disagreement and the local average of the network vote. Convergence of the algorithm to the initial global majority is proved using the lossy S-procedure. Numerical simulations are included to demonstrate the performance of the proposed protocol.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121478605","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":"Structured covariance estimation for state prediction","authors":"Weichang Li, T. A. Badgwell","doi":"10.1109/CDC.2014.7039397","DOIUrl":"https://doi.org/10.1109/CDC.2014.7039397","url":null,"abstract":"In this paper we propose a structurally constrained expectation-maximization (EM) algorithm for estimating noise covariances in state-space models, for the purpose of state prediction and control. More specifically, we generalize the problem of covariance estimation on the basis of given i.i.d sample sequence to the dynamic setting where the samples (i.e. state and observation noises) are observed only through the measurement data, or equivalently, drawn from the conditional distribution governed by the dynamic model. By applying the expectation maximization (EM) algorithm to the innovation model representation, we view the resulting ML covariance estimates as the conditional sample covariances, and augment the negative log-likelihood function with matrix norm penalty terms that enforce low-rank and low cardinality structure in the estimated covariances or their inverses. These constraints serve to reflect realistic problem structure expected from model knowledge, yet are still general and flexible enough to be broadly applicable. In addition, the new derivation of the EM algorithm based on the innovation representation gives the common sufficient statistic for both the process and observation noise covariances. This illustrates the coupling between the two covariance estimates, and in simulated cases, enables the calculation of an upper performance bound against which the EM estimates can be compared. The use of the innovation representation also provides a tractable connection to the existing techniques such as the Autocovariance Least Squares (ALS) algorithm. Numerical results comparing the constrained EM and the ALS algorithms are also provided, showing favorable performance for the EM covariance estimates.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121694415","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":"Discounting the past in robust finite-state systems","authors":"M. Rungger, P. Tabuada","doi":"10.1109/CDC.2014.7039486","DOIUrl":"https://doi.org/10.1109/CDC.2014.7039486","url":null,"abstract":"In this paper we introduce discounted input-output dynamical stability as a variant of a recently introduced notion of robustness for discrete and cyber-physical systems. We analyze the verification and synthesis problems for this new notion of robustness for discrete systems given by finite-state automata. We show that the verification problem can be solved in terms of a linear program and hence is solvable in polynomial time. We provide an approximate solution to the synthesis problem whose complexity depends on the accuracy of the approximation. We discuss the merits and drawbacks of discounted input-output dynamical stability in comparison with existing robustness concepts for discrete systems.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"18 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113978933","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":"Control allocation based fault-tolerant control design for spacecraft attitude tracking","authors":"Qiang Shen, Danwei W. Wang, Senqiang Zhu, E. Poh","doi":"10.1109/CDC.2014.7040167","DOIUrl":"https://doi.org/10.1109/CDC.2014.7040167","url":null,"abstract":"This paper presents a fault-tolerant control allocation scheme for overactuated spacecraft attitude tracking systems subject to actuator faults. Taking the effect of fault detection and diagnosis (FDD) uncertainties into account, a performance/robustness trade-off control allocation (PRTCA) strategy is proposed to redistribute the virtual control signals to the remaining actuators without reconfiguring the controller. The proposed PRTCA scheme achieves robustness with respect to the imprecise in fault estimation, and is less conservative than the robust control allocation. To illustrate the performance of the proposed PRTCA strategy, numerical simulations are carried out for a rigid spacecraft in the presence of reaction wheel faults.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114745576","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 analysis for replicator dynamics of evolutionary snowdrift games","authors":"Pouria Ramazi, M. Cao","doi":"10.1109/CDC.2014.7040094","DOIUrl":"https://doi.org/10.1109/CDC.2014.7040094","url":null,"abstract":"Stability analysis is presented in this paper to study the evolution of large populations of well mixed individuals playing three typical reactive strategies - always cooperate, tit-for-tat and suspicious tit-for-tat. After parameterizing the corresponding payoff matrices, we use replicator dynamics, a powerful tool from evolutionary game theory, to investigate how population dynamics evolve over time. We show the corresponding equilibria as well as their stability properties change as the payoff for mutual cooperation changes. Both theoretical analysis and simulation study are provided, which complements and further develops some existing results in theoretical biology and sociology.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124344079","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 model-based approach for prediction-based interconnection of dynamic systems","authors":"G. Stettinger, M. Horn, M. Benedikt, J. Zehetner","doi":"10.1109/CDC.2014.7039897","DOIUrl":"https://doi.org/10.1109/CDC.2014.7039897","url":null,"abstract":"This paper proposes a model based coupling technique for interconnected systems. It helps to overcome problems arising whenever the interconnections have a non-negligible influence on the overall system behavior. The main idea of the method is to use prediction schemes which compensate for performance degradation due to coupling imperfections. Exemplarily the so-called co-simulation scenario is selected to demonstrate the principles of the presented approach and its effectiveness by means of a complex real-time application.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124458774","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":"Event-triggered output feedback stabilization of networked systems with external disturbance","authors":"Eloy García, P. Antsaklis","doi":"10.1109/CDC.2014.7039943","DOIUrl":"https://doi.org/10.1109/CDC.2014.7039943","url":null,"abstract":"This paper addresses the problem of output feedback stabilization of continuous-time networked systems that are also perturbed by persistent external disturbances. An augmented state observer is designed in order to estimate both the state of the system and the external disturbance. Conditions for observability of the augmented system are provided based on the given system parameters. Stabilization of the output feedback networked system is achieved by means of event-triggered control strategies which reduce the number of feedback updates. A strictly positive lower-bound on the inter-event times is also provided which avoids Zeno behavior. Finally, this framework is extended to consider the existence of network induced delays. Similarly, conditions for stability and bounds on the inter-event times are presented.","PeriodicalId":202708,"journal":{"name":"53rd IEEE Conference on Decision and Control","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124132178","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}