This paper concerns the stability analysis problem of discrete linear systems with state saturation using a saturation-dependent Lyapunov functional. We introduce a free matrix characterized by the sum of the absolute...
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This paper concerns the stability analysis problem of discrete linear systems with state saturation using a saturation-dependent Lyapunov functional. We introduce a free matrix characterized by the sum of the absolute value of each elements for each row less than 1, which makes the state with saturation constraint reside in a convex polyhedron. A saturation-dependent Lyapunov functional is then designed to obtain a sufficient condition for such systems to be globally asymptotically stable. Based on this stability criterion, the state feedback control law synthesis problem is also studied. The obtained results are formulated in terms of bilinear matrix inequalities that can be solved by the presented iterative linear matrix ineoualitv algorithm. Two numerical examoles are used to demonstrate the effectiveness of the nronosed method_
In this work, we discuss the leakage detection problem arising in offshore pipeline transport which is much more challenging than that in ground fluid transport systems due to the lack of measurements along the pipeli...
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Predictor that is built from the plant model, plays an important role in model predictive control system. The predictor should be updated timely to maintain certain calculation accuracy and performance optimality. In ...
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The original Extremal Optimization (EO) algorithm and its modified versions have been successfully applied to a variety of NP-hard optimization problems. However, almost all existing EO-based algorithms have overlooke...
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This paper is concerned with the problem of designing a time-delay output feedback controller for the master-slave synchronization of singular Lur'e systems. Based on the generalized Lyapunov-Krasovskii functional...
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control performance assessment for MPC systems has attracted a lot of interest in recent years. Compared with the typical MVC benchmark, the LQG benchmark gives a pragmatic assessment result. Based on the traditional ...
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control performance assessment for MPC systems has attracted a lot of interest in recent years. Compared with the typical MVC benchmark, the LQG benchmark gives a pragmatic assessment result. Based on the traditional LQG benchmark, the equigrid approach can improve the regression performance. In addition to the numerical algorithm, the recursive algorithm and the analytical algorithm were introduced to analyze the essential relationship in the LQG benchmark, which can save the computing cost and improve the regression effect. Based on the ARMAX model, the detailed procedures for these algorithms were discussed. In the simulation to a SISO process and a MIMO process, the different types of LQG benchmarks were calculated.
Multiple-model (MM) methods are effective in handling mode uncertainties and the variable structure multiple-model (VSMM) approach is one technique of the state of art. However, designing a better model set adaptive (...
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In [Dong, D. and Petersen, I.R. (2012). Sliding mode control of two-level quantum systems. Automatica, 48, 725-735], a sliding mode control approach has been proposed for two-level quantum systems to deal with bounded...
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This paper proposes a robust control method based on sliding mode design for two-level quantum systems with bounded uncertainties. An eigenstate of the two-level quantum system is identified as a sliding mode. The obj...
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For very long period, most of the research activities in the community have always focused on methods for multiple leveled decisions and optimizations. The aimed issues of these methods ranged from a single process to...
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For very long period, most of the research activities in the community have always focused on methods for multiple leveled decisions and optimizations. The aimed issues of these methods ranged from a single process to SCM, as well as goals under EWO that is now catching more and more attentions. Concretely, at the production section, these researches usually pay great efforts for mathematic modeling and/or computing methods for complex operations, such as multi-product and/or multi-purpose planning, scheduling and control optimization. However, few researches have pay attentions at and uncover the important issues about states observing, feedback as well as tracing at plant-wide and/or enterprise-wide, where some real difficult problems have been perplexing the effectiveness and practicability of P-MES (MES for process industry) hitherto. With the guidance under thoughts from EWO, the research presented here is aiming at this nearly neglected challenge that including great practical meanings. In this paper, the complex structure and characteristics of production systems as well as decomposition and aggregation relationships between the production system and computer integrated manufacturing systems (CIMS) are analyzed with the view-angle of multi-scale method. With important concepts employed in this paper, including key feedback parameters (KFP) as well as the fusing and the tracing aggregation of the feedback data/information, a kind of innovative model called TRF(tracking, representing and tracing) model and its key theoretical methods are promoted for production states observing and feedback. Analysis upon these key methods and their modeling mechanisms show that TRF model could effectively response to structural dynamics of the complex production material flows, which is essentially difficult for P-MES using the general model. Based on this proposal, TRF model could construct states observing and feedback mechanism of production systems effectively and efficien
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