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作者：Erlandsen, M. J.; Meijer, T. J.; Heemels, W. P. M. H.; van den Eijnden, S. J. A. M.
作者单位：Eindhoven University of Technology
摘要：Analysis of continuous-time piecewise linear systems based on piecewise quadratic (PWQ) Lyapunov functions typically requires continuity of these functions. Several conditions for guaranteeing continuity of PWQ functions over state-space partitions can be found in the literature. In this technical note, we show that these continuity conditions are equivalent over so-called simplicial conic partitions. As a consequence, the choice of which condition to impose can be based solely on practical co...
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作者：Beck, Fabian; Sakamoto, Noboru
作者单位：Helmholtz Association; German Aerospace Centre (DLR); Technical University of Munich
摘要：In this contribution, the optimal stabilization problem of periodic orbits is studied via invariant manifold theory and symplectic geometry. The stable manifold theory for the optimal point stabilization case is generalized to the case of periodic orbit stabilization, where a normally hyperbolic invariant manifold (NHIM) plays the role of a hyperbolic equilibrium point. A sufficient condition for the existence of an NHIM of an extended Hamiltonian system is derived in terms of a periodic Ricca...
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作者：Gao, Shuai; Shen, Dong; Tayebi, Abdelhamid
作者单位：Renmin University of China; Lakehead University; Shandong University
摘要：We address the tracking problem for a class of uncertain nonaffine nonlinear systems with high relative degrees, performing nonrepetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a gradient descent parameter adaptation law to handle the unknown time-varying parameters of the system, along with a state estimator that estimates the unmeasurable state variables. Furthermore, despite the inherently complex nature of the nonaffine system, we prov...
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作者：Liu, Changrui; Shi, Shengling; De Schutter, Bart
作者单位：Delft University of Technology; Massachusetts Institute of Technology (MIT)
摘要：Handling model mismatch is a common challenge in model predictive control (MPC). While robust MPC is effective, its conservatism often makes it less desirable. Certainty-equivalence MPC (CE-MPC), which uses the nominal model, offers an appealing alternative due to its design simplicity and low computational cost. This article investigates CE-MPC for uncertain nonlinear systems with multiplicative parametric uncertainty and input constraints that are inactive at the steady state. The primary co...
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作者：Ran, Ning; Wu, Zhengguang; Zhang, Shaokang; He, Zhou; Seatzu, Carla
作者单位：Hebei University; Zhejiang University; Hebei University; Shaanxi University of Science & Technology; University of Cagliari
摘要：This article focuses on a fundamental problem on information security of bounded labeled Petri nets: noninterference analysis. As in hierarchical control, we assume that a system is observed by users at different levels, namely, high-level users and low-level users. The output events produced by the firing of transitions are also partitioned into high-level output events and low-level output events. In general, high-level users can observe the occurrence of all the output events, while low-lev...
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作者：Refosco, Pietro A.; Edwards, Christopher; Papageorgiou, Dimitrios
作者单位：Technical University of Denmark; University of Exeter
摘要：This study investigates the behavior of super-twisting sliding-mode control loops that are subject to a class of bounded-rate perturbations when the established conditions for finite-time stability (FTS) do not hold. The motivation for this consideration is that oftentimes imposing the FTS conditions, i.e., requiring that the integral gain of the controller be larger than the total perturbation derivative, can be very restrictive in relation to actuator limitations. It is proven that under mil...
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作者：Huang, Qinbo; Sun, Jitao
作者单位：Tongji University; Nantong University
摘要：This note studies the stability problem for homogeneous impulsive systems with a fixed sequence of impulse times. We prove that the local stability can be extended globally for such systems with degree pair (0, 0). Moreover, by homogeneity-based methods, finite-time (exponential or nearly fixed-time) stability criteria are established for homogeneous impulsive systems, along with the estimate of the settling-time. It is shown that the convergence rate of homogeneous impulsive systems is determ...
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作者：Lei, Xuqiang; Wen, Guanghui; Polycarpou, Marios M.
作者单位：Southeast University - China; Southeast University - China; University of Cyprus; University of Cyprus
摘要：This article investigates the problem of distributed secure consensus tracking for leader-following multiagent systems under the presence of sparse data anomalies in the networks. An extra auxiliary function is designed and employed to formulate the interaction gains to mitigate the impact of such unknown sparse anomalies. Different from conventional anomaly detection and isolation methods, the introduction of the auxiliary function can alleviate the wasteful expansion of global sparse anomaly...
