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作者：Rakovic, Sasa, V
作者单位：Beijing Institute of Technology
摘要：The Lyapunov equation for polytopic linear inclusions over the space of Minkowski functions of nonempty compact and convex sets that contain the origin as an interior point is studied. In particular, necessary and sufficient conditions for the characterization, existence, and uniqueness of its fundamental solution are derived.
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作者：Wu, Yuanqing; Isidori, Alberto; Lu, Renquan
作者单位：Guangdong University of Technology; Sapienza University Rome
摘要：In this article, we investigate the distributed state estimation problem for a nonlinear dynamical system. Relying upon the assumption of the existence of a block-triangular uniform observability canonical form, local high-gain observers are used to stabilize the estimation error for the observable portion of the state, and exchange of information between neighbors is used to achieve consensus in the estimation of the state of the unobservable part. This article addresses, first, the case of a...
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作者：Shakouri, Amir; Assadian, Nima
作者单位：Sharif University of Technology
摘要：This article introduces a class of time-varying controllers for Euler-Lagrange systems such that the convergence occurs at an arbitrary finite time, independently of initial conditions, and free of chattering. The proposed controller is based on a mapping technique and is designed in two steps: First, a conventional (obstacle avoidance) asymptotically stable controller is specified for the nominal system; then, by a simple substitution, a prescribed-time (obstacle avoidance) controller is achi...
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作者：Gerbet, Daniel; Roebenack, Klaus
作者单位：Technische Universitat Dresden
摘要：LaSalle's invariance principle is a commonly used extension of Lyapunov's second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, the examination can be automated using algebraic geometry and quantifier elimination. This article addresses this automated examination using a method relying on polynomial ideals and applies it on some example systems. In addition, some properties of these special ideals are derived that allow to reduce the...
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作者：Guo, Yuqian; Wu, Yuhu; Gui, Weihua
作者单位：Central South University; Dalian University of Technology; Dalian University of Technology
摘要：In this article, we propose a novel technique for the stability analysis of discrete-time switched systems under constrained switching based on the semitensor product (STP) of matrices and vector-representation of logic. We assume that the admissible switching signals are generated by a logic dynamical system, referred to as the logic dynamical generator (LDG) of the admissible switching. We demonstrate that switching with minimum dwell-time and restricted successors represent two special case...
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作者：Sarafraz, Mohammad Saeed; Proskurnikov, Anton, V; Tavazoei, Mohammad Saleh; Esfahani, Peyman Mohajerin
作者单位：Sharif University of Technology; Polytechnic University of Turin; Russian Academy of Sciences; Delft University of Technology
摘要：In this article, we investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that are possibly nonlinear and the uncertainty of their linear parts is modeled element wise through a parametric family of matrix boxes. An optimization-based design procedure is proposed that delivers a continuous-time control and estimates the ...
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作者：Wang, Zhong; Li, Yan
作者单位：Northwestern Polytechnical University
摘要：A compressed positive quadrature filter (CPQF) is proposed in this technical note. Accuracy, efficiency, and numerical stability are the main concerns for quadrature-based nonlinear Gaussian filtering, but desirable performance in all these three aspects can hardly be simultaneously achieved in previously proposed nonlinear Gaussian filters, such as unscented Kalman filter, Gauss-Hermite quadrature filter (GHQF), and sparse grid quadrature filter. To improve the overall capacity of nonlinear G...
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作者：Wang, Shanshan; Diagne, Mamadou; Qi, Jie
作者单位：Rensselaer Polytechnic Institute; Donghua University; Rensselaer Polytechnic Institute; Donghua University
摘要：We consider a system of reaction-advection-diffusion partial differential equation (PDE) with a distributed input subject to an unknown and arbitrarily large time delay. Using Lyapunov technique, we derive a delay-adaptive predictor feedback controller to ensure the global stability of the closed-loop system in the L-2 sense. More precisely, we express the input delay as a 1-D transport PDE with a spatial argument leading to the transformation of the time delay into a spatially distributed shi...
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作者：Ma, Ziyue; Zou, Minqiang; Zhang, Jiafeng; Li, Zhiwu
作者单位：Xidian University; Macau University of Science & Technology
摘要：In this article, we develop an algorithm for designing an optimal control sequence in Petri nets, which drives a plant net from a source marking to a set of target markings without passing any pregiven forbidden markings. Such control sequences are useful in flexible reconfigurable automated systems, where a plant necessarily responds promptly to a request of reconfiguration. We develop a Dijkstra searching algorithm that is carried out in the basis marking space of a plant net instead of the ...
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作者：Yi, Shenglun; Zorzi, Mattia
作者单位：Beijing Institute of Technology; University of Padua
摘要：In this article, we consider a robust state-space filtering problem in the case that the transition probability density is unknown and possibly degenerate. The resulting robust filter has a Kalman-like structure and solves a minimax game: the nature selects the least favorable model in a prescribed ambiguity set, which also contains non-Gaussian probability densities, while the other player designs the optimum filter for the least favorable model. It turns out that the resulting robust filter ...
