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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：Katsoukis, Ilias; Rovithakis, George A.
作者单位：Aristotle University of Thessaloniki
摘要：We consider the problem of synchronizing, with prescribed transient and steady-state performance guarantees, the output of high-order, nonlinear, multiagent systems in a leader-following scenario. The agent dynamics are MIMO in lower triangular form and uncertain, as all nonlinearities are unknown and moreover they are perturbed by external additive disturbances. Furthermore, no knowledge is provided regarding bounds or functions bounding the actual system nonlinearities. In addition, the dyna...
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作者：Liu, Xiao-Zhen; Wu, Kai-Ning; Li, Ze-Tao
作者单位：Harbin Institute of Technology
摘要：Exponential stabilization is studied for reaction-diffusion systems (RDSs) with a reaction term satisfying the global Lipschitz condition by means of intermittent boundary control.First, a state-dependent intermittent boundary controller is designed when system states are available. By employing the spatial integral functional method and Poincare's inequality, a sufficient condition ensuring exponential stability of RDSs is presented. Then, an observer is presented to estimate the system state...
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作者：Shen, Jun; Lam, James
作者单位：Nanjing University of Aeronautics & Astronautics; University of Hong Kong
摘要：This article addresses the problem of estimating the domain of attraction of positive systems under a saturated linear feedback. Compared with the analysis of general saturated linear systems, one remarkable difference is that only the domain of attraction inside the first orthant is of interest. Hence, we tackle this problem by exploiting different shapes of invariant sets confined in the first orthant, including hyperpyramids and hyperrectangles, which are, respectively, the level sets of su...
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作者：Wang, Lei; Kellett, Christopher M.
作者单位：University of Newcastle; Zhejiang University; Australian National University
摘要：This article studies the robust output feedback stabilization problem for multi-input-multi-output (MIMO) invertible nonlinear systems with output-dependent multipliers. An ideal state feedback is first designed under certain mild assumptions. Then, a set of extended low-power high-gain observers is systematically designed, providing a complete estimation of the ideal feedback law. This yields a robust output feedback stabilizer such that the origin of the closed-loop system is semiglobally as...
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作者：Spagolla, Amanda; Morais, Cecilia F.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D.
作者单位：Universidade Estadual de Campinas; Pontificia Universidade Catolica de Campinas
摘要：This article investigates the problem of designing H-2 robust (or gain-scheduled) static output-feedback (or state-feedback) controllers for discrete-time positive linear systems affected by time-invariant (or time-varying) parameters belonging to a polytope. For this purpose, an iterative procedure based on robust (parameter-dependent) linear matrix inequalities (LMI) is proposed. Unlike most approaches, where the controller is obtained by means of a change of variables, the synthesis conditi...
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作者：Barratt, Shane; Boyd, Stephen
作者单位：Stanford University
摘要：An extended quadratic function is a quadratic function plus the indicator function of an affine set, i.e., a quadratic function with embedded linear equality constraints. In this article, we show that, under some technical conditions, random convex extended quadratic functions are closed under addition, composition with an affine function, expectation, and partial minimization, i.e., minimizing over some of its arguments. These properties imply that dynamic programming can be tractably carried...
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作者：Ringh, Axel; Karlsson, Johan; Lindquist, Anders
作者单位：Hong Kong University of Science & Technology; Royal Institute of Technology; Shanghai Jiao Tong University; Royal Institute of Technology
摘要：Unlike the situation with gain and phase margins in robust stabilization, the problem to determine an exact maximum delay margin is still an open problem, although extensive work has been done to establish upper and lower bounds. The problem is that the corresponding constraints in the Nyquist plot are frequency dependent, and encircling the point s = -1 has to be done at sufficiently low frequencies, as the possibility to do so closes at higher frequencies. In this article, we present a new m...
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作者：Liu, Zhaobo; Li, Chanying
作者单位：Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要：This note focuses on the convergence problem of a distributed recursive least squares (RLS) estimator, which converges fast in many circumstances. We find that the convergence behavior of this distributed RLS is quite different for the scalar-parameter and high-dimensional-parameter cases.
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作者：Zhuang, Songlin; Yu, Xinghu; Qiu, Jianbin; Shi, Yang; Gao, Huijun
作者单位：Harbin Institute of Technology; University of Victoria; Peng Cheng Laboratory
摘要：Persistent dwell-time (PDT) constraint is demonstrated to be powerful for modeling the dynamics of switched systems with nonuniform time-dependent scheduling constraints. However, the study of switched systems under PDT constraints presently struggles to provide nonconservative and convex stability conditions for stabilization. In this article, we present a novel concept called dictionary to precisely characterize PDT constraints. It outperforms the existing methods for PDT constraints, which ...
