Autom Remote Control 72(2):342–352, Notarstefano G, Bullo F (2011) Distributed abstract optimization via constraints consensus: theory and applications. A further result is. Its realization using RA technique will then be described in the next sub-section. 5293-5314, IFAC-PapersOnLine, Volume 48, Issue 21, 2015, pp. From 1992 to 1994, he was a R&D engineer at Rheinmetall GmbH. A direct solution to the deterministic estimation problem is obtained first, based on a well-designed regularized least squares problem with a dynamic constraint of a two-dimensional singular system, augmented from the original system state and unknown disturbance. J Oper Res Soc 49:237–252, Kettani H, Barmish BR (2008) A new Monte Carlo circuit simulation paradigm with specific results for resistive networks. IEEE Trans Autom Control 50(11):1790–1795, Papoulis A, Pillai SU (2002) Probability, random variables and stochastic processes. A further result is the application of randomized algorithms to the design of observer-based FD systems. This is mainly because of potentials of such algo-rithms for handling big data tensors or matrices. To illustrate the developed randomized algorithms, a benchmark study on the real three-tank system is included in our work. In this framework, three issues are addressed: (i) probabilistic parameter models for faults and uncertainties (ii) FD system performance assessment in terms of FAR, FDR and MT2D, and (iii) observer-based FD system design with a trade-off between FAR and FDR. Finally, an F-404 aircraft engine system is exploited to demonstrate the effectiveness of the proposed new design techniques. Unfortunately, only few research efforts to integrate such performance criteria into observer-based FD system design have been reported. Experimental study on a three-tank system illustrates the application of the proposed scheme. It is well-known that the residual generator design problem with L and stable R(z) as design parameters can be equivalently formulated as finding a post-filter R(z) by fixing the observer. Retrouvez Randomized Algorithms for Analysis and Control of Uncertain Systems: With Applications et des millions de livres en stock sur Amazon.fr. The material in this paper was not presented at any conference. This is a preview of subscription content, Abate A, Prandini M, Lygeros J, Sastry S (2008) Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems. Finally, perspectives on challenges and potential opportunities are highlighted for future work. Eng Struct 33(2):410–420, Stengel RF (1980) Some effects of parameter variations on the lateral-directional stability of aircraft. in a recent survey paper (Gao, Cecati, & Ding, 2015). In addition to include fault isolation, a bank of zonotopic UIOs are employed. Proteins, accepted for publication, Randomized Algorithms for Analysis and Control of Uncertain Systems, https://doi.org/10.1007/978-1-4471-4610-0_19. This process is experimental and the keywords may be updated as the learning algorithm improves. In both two methods, the sliding surface switching problem for jumping systems in sliding mode observer approaches is avoided. Case and example studies are finally given to illustrate the proposed approaches. degree from Peking University, China, in 2011. PDF | On Jan 1, 2005, Roberto Tempo and others published Applications of Randomized Algorithms | Find, read and cite all the research you need on ResearchGate Despite the encouraging progress in its research, developing a reliable and interpretable diagnostic system remains a challenge. For many applications a randomized algorithm is either the simplest algorithm available, or the fastest, or both. To illustrate the potential applications of the proposed algorithms and methods, benchmark study on a real three-tank system is included. To demonstrate the potential of RA in FD system design, we will finally address RA aided design of observer-based FD systems. AIAA J Guid Control 3:124–131, Stevens BL, Lewis FL (2003) Aircraft control and simulation. I’ll add more uses for randomization. In this paper, we propose a robust fault detection and isolation (FDI) strategy based on zonotopic unknown input observers (UIOs) for discrete-time descriptor linear time-varying (LTV) systems subject to uncertainties and additive actuator faults. In the model-based FD framework, false alarms are triggered by model uncertainties and unknown inputs in the process under supervision, while fault detectability strongly depends on the size, form or the energy level of the faults to be detected. A, a randomized algorithm, determines whether an input x is a prime number. We use cookies to help provide and enhance our service and tailor content and ads. Proc IEEE 95:5–8, Avrachenkov K, Litvak N, Nemirovsky D, Osipova N (2007) Monte Carlo methods in PageRank computation: when one iteration is sufficient. Her research interests include fault diagnosis and fault tolerant control, fuzzy control and estimation for nonlinear systems. The first one refers an adaptive fault observer, which can reconstruct the states and faults through the online adaptive mechanism. Automatica 35:1747–1767, Blanchini F, Miani S (2008) Set-theoretic methods in control. Automatica 45:776–782, Ishii H, Tempo R (2010) Distributed randomized algorithms for the PageRank computation. IEEE Trans Autom Control AC-51:1207–1210, Zaki N, Berengueres J, Efimov D (2012) Detection of protein complexes using a protein ranking algorithm. Automatica 44(2):479–487, Hatanaka T, Takaba K (2008) Probabilistic output admissible set for systems with time-varying uncertainties. The main focus of our work is on the development of randomized algorithms for the assessment of false alarm rate, fault detection rate and mean time to detection as well as for the design of observer-based fault detection systems. There are more references available in the full text version of this article. Notations adopted in probabilistic study: E(⋅) represents mean value and U(a,b) uniform distribution over [a,b]. It is assumed that d,f are l2-bounded with known distribution matrices Ed,Fd,Ef,Ff. Cambridge University Press, Cambridge, Mohseni M, Rezakhani AT, Lidar DA (2008) Quantum-process tomography: resource analysis of different strategies. As the name suggests, genetic algorithms use techniques inspired by operations found in evolutionary biology such as selection, crossover, and … Besides, the existence condition of the optimal solutions is investigated analytically. Two types of adaptive observer methods are developed to solve the investigated design problem. The main objective of this paper is to initiate a systematic application of gap metric techniques to the performance analysis and design issues of detecting and isolating multiplicative faults in uncertain systems. IEEE Control Syst Mag 27:30–32, Alippi C (2002) A probably approximately correct framework to estimate performance degradation in embedded systems. 2021, Studies in Systems, Decision and Control, Automatica, Volume 105, 2019, pp. IEEE Trans Circuits Syst I 53:1289–1299, Khammash M, Tomlin CJ, Vidyasagar M (2008) Guest editorial—special issue on systems biology. The idea of using a random matrix with such structure has been introduced in [1]. Automatica 44:2724–2734, Abdallah C, Ariola M, Dorato P, Panchenko D (2001) Statistical-learning control of multiple-delay systems with applications to ATM networks. The first one is an observer-based scheme, which adopts a bank of residual generators and an observer-based decision unit. J Guid Control Dyn 29(6):1454–1460, Ma W, Sznaier M, Lagoa CM (2007) A risk adjusted approach to robust simultaneous fault detection and isolation. Randomized algorithms have been proposed in the past as simple and efficient solution for computing controllable, reachable, and controllers' terminal region sets of non-linear systems, [13,56]. Syst Control Lett 57(4):315–321, Hatano Y, Mesbahi M (2005) Agreement over random networks. Steven X. Ding received Ph.D. degree in electrical engineering from the Gerhard-Mercator University of Duisburg, Germany, in 1992. Not affiliated For the residual evaluation purpose, we use truncated l2,[k−s,k] norm. In network coding, sending random codewords is … The further efforts are devoted to the application of K-gap metric to two online fault isolation algorithms. IEEE Trans Autom Control 52:470–482, Başar T, Olsder GJ (1999) Dynamic noncooperative game theory. We propose a randomized sampling Kaczmarz algorithm for the solution of very large systems of linear equations by introducing a maximal sampling probability control criterion, which is aimed at grasping the largest entry of the absolute sampling residual vector at each iteration. To handle the big data problem, the parallel computing strategy is further applied to the above model, which partitions the whole computational task into a few sub-tasks and assigns them to parallel computing nodes. TDD is a technique traditionally applied in applications with deterministic algorithms, in which the input and the expected result are known. IEEE Trans Autom Control 45:1279–1289, Brown WG, Viola L (2010) Convergence rates for arbitrary statistical moments of random quantum circuits. It is typically used to reduce either the running time, or time complexity; or the memory used, or space complexity, in a standard algorithm. We address FDI issues both in the open- and closed-loop configurations. There are a huge number of FD methods published in this decade, as reported e.g. Generalization discussions concerning different system descriptions with respect to fault as well as the implementations of the proposed estimator are also presented. The unified solution also works as the optimal state observer and generalized Kalman filter for two-dimensional singular systems. His research interests are model-based and data-driven fault diagnosis, fault tolerant systems, real-time control, and their application in industry with a focus on automotive systems and chemical processes. IEEE Trans Autom Control 46:1384–1400, Fercoq O, Akian M, Bouhtou M, Gaubert S (2012) Ergodic control and polyhedral approaches to PageRank optimization. In this paper, the diagnosability of spacecraft control systems is systematically studied from five perspectives: necessity, the current research status, the connotation, a novel index system and current development trends of diagnosability. Motivated by the above observations and considerations, the objective of our work is to establish a probabilistic framework to deal with observer-based FD system assessment and design. IEEE Trans Autom Control AC-53:791–795, Tanner HG, Piovesan JL (2010) Randomized receding horizon navigation. Minjia Krüeger received the B.E. The "worst case" is typically so unlikely to occur that it can be ignored. How to analyse Randomized Algorithms? Princeton University Press, Princeton, Lecchini-Visintini A, Glover W, Lygeros J, Maciejowski JM (2006) Monte Carlo optimization for conflict resolution in air traffic control. This tutorial presents the basic concepts in the design and analysis of randomized algorithms. After proving the solution equivalence between the deterministic scenario and the stochastic one in the sense of optimal state and fault estimation, a unified solution, based on a Riccati-like equation recursion, can be established by weighting parameterization for two-dimensional systems in deterministic and stochastic cases. ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. We describe two recently proposed randomized algorithms for the construction of low-rank approximations to matrices, and demonstrate their application ( inter alia ) to the evaluation of the singular value decompositions of numerically low-rank matrices. Based on a defined performance criterion, the fault detection (FD) observer gain is designed to be robust against uncertainties and meanwhile sensitive to faults. This service is more advanced with JavaScript available, Randomized Algorithms for Analysis and Control of Uncertain Systems The fast Fourier transform and similar algorithms allow the rapid application of R to arbitrary vectors (see, for example, [15] for a discussion of the fast Fourier transform algorithm and its applications). These keywords were added by machine and not by the authors. However, the application of TDD with randomized algorithms have been a challenge, especially when the execution demands several random choices. 119-124, Systems & Control Letters, Volume 67, 2014, pp. More speciﬁcally, simulation results show that randomized algorithms are methods of choice in applications that a huge amount of data should be han-dled. IEEE Trans Autom Control 49(9):1421–1422, Antsaklis PJ, Baillieul J (2007) Special issue on the technology of networked control systems. 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