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作者：Lhachemi, Hugo
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay
摘要：This article is concerned with the local output feedback stabilization of a nonlinear Kuramoto-Sivashinsky equation. The control is located at the boundary of the domain while the measurement is selected as a Neumann trace. This choice of system output requires the study of the system trajectories in H-2-norm. Moreover, the choice of the actuation/sensing scheme is discussed and adapted depending on the parameters of the plant in order to avoid the possible loss of controllability/observabilit...
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作者：Macchelli, Alessandro
作者单位：University of Bologna
摘要：This article aims at extending the continuous-time energy-shaping plus damping injection control design technique to deal with a class of nonlinear, discrete-time port-Hamiltonian systems. For such systems, the gradient of the Hamiltonian function in the continuous-time dynamics is replaced by a discrete gradient, thus leading to a state equation in implicit form. Its well-posedness is studied both in the autonomous and nonautonomous cases to determine when the dynamical equation admits a solu...
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作者：Schwan, Roland; Jones, Colin N.; Kuhn, Daniel
作者单位：Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
摘要：In this article, we propose a framework for the stability verification of mixed-integer linear programming (MILP) representable control policies. This framework compares a fixed candidate policy, which admits an efficient parameterization and can be evaluated at a low computational cost, against a fixed baseline policy, which is known to be stable but expensive to evaluate. We provide sufficient conditions for the closed-loop stability of the candidate policy in terms of the worst-case approxi...
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作者：Grigoletto, Tommaso; Ticozzi, Francesco
作者单位：University of Padua
摘要：The problem of reducing a hidden Markov model (HMM) to one of smaller dimension that exactly reproduces the same marginals is tackled by using a system-theoretic approach. Realization theory tools are extended to HMMs by leveraging suitable algebraic representations of probability spaces. We propose two algorithms that return coarse-grained equivalent HMMs obtained by stochastic projection operators: the first returns models that exactly reproduce the single-time distribution of a given output...
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作者：Guo, Xiang-Gui; Liu, Pei-Ming; Wu, Zheng-Guang; Zhang, Dan; Ahn, Choon Ki
作者单位：University of Science & Technology Beijing; Zhejiang University; Chengdu University; Zhejiang University of Technology; Korea University
摘要：This article investigates the group consensus of heterogeneous multiagent systems (MASs) with time-varying unknown nonidentical direction (TVUND) faults under stochastic false data injection (FDI) attacks. A fault-tolerant mechanism based on the Nussbaum function method that does not require the upper and lower bounds of the fault scaling factors nor fault directions is proposed. To bypass the challenges resulting from the summation of multiple Nussbaum functions, a group of new Nussbaum funct...
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作者：Qian, Jiachen; Duan, Zhisheng; Duan, Peihu; Li, Zhongkui
作者单位：Peking University; Royal Institute of Technology
摘要：Compared with linear time invariant systems, linear periodic system can describe the periodic processes arising from nature and engineering more precisely. However, the time-varying system parameters increase the difficulty of the research on periodic system, such as stabilization and observation. This article aims to consider the observation problem of periodic systems by bridging two fundamental filtering algorithms for periodic systems with a sensor network: consensus-on-measurement-based d...
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作者：Zhang, Zhirong; Wen, Changyun; Xing, Lantao; Song, Yongduan
作者单位：Chongqing University; Nanyang Technological University; Shandong University
摘要：Due to the difficulty in handling the issue of nondifferentiable virtual control signals, there is still no available result considering output triggering and sensor faults simultaneously for nonlinear systems subject to mismatched parameteric uncertainties via backstepping design, even though the underlying problem is practically important and frequently encountered. In this article, to deal with this challenging problem, several crucial design ideas are proposed in developing the control sch...
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作者：Azmi, Behzad; Kunisch, Karl; Rodrigues, Sergio S.
作者单位：University of Konstanz; University of Graz
摘要：In this article, it is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlogl model, by means of an explicit saturated feedback control input whose magnitude is bounded by a constant independent of the given targeted trajectory. Simulations are presented showing the stabilizing performance of the explicit feedback constrained control. Further, such performance is compared to that of a receding horizon constrained cont...
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作者：Zhang, Zhirong; Wen, Changyun; Song, Yongduan; Feng, Gang
作者单位：City University of Hong Kong; Nanyang Technological University; Chongqing University
摘要：Digital control systems are normally characterized by quantization. It is quite challenging to exploit the celebrated backstepping control design for nonlinear systems subject to mismatched parametric uncertainties, input/output quantization, and unknown sensor failures. A major difficulty is that the output of the concerned system after quantization becomes discontinuous, and thus, nondifferentiable. As a result, the traditional recursive backstepping design method becomes infeasible because ...
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作者：Cao, Wenqi; Lindquist, Anders; Picci, Giorgio
作者单位：Shanghai Jiao Tong University; Shanghai Jiao Tong University; University of Padua
摘要：Rank-deficient stationary stochastic vector processes are present in many problems in network theory and dynamic factor analysis. In this article, we study the hidden dynamical relations between the components of a discrete-time stochastic vector process and investigate their properties with respect to stability and causality. More specifically, we construct transfer functions with a full-rank input process formed from selected components of the given vector process and having a vector process...
