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作者：Wang, Ji; Krstic, Miroslav
作者单位：University of California System; University of California San Diego
摘要：Motivated by vibration control of a mining cable elevator avoiding frequent actions of a massive actuator, which is a hydraulic cylinder driving a head sheave, we present an event-triggered output-feedback backstepping boundary controller for 2 x 2 coupled hyperbolic partial differential equations (PDEs) sandwiched by two ordinary differential equations (ODEs), through a two-step design including an output-feedback low-pass-filter-based backstepping boundary stabilization law and the subsequen...
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作者：Gomez, Marco A.; Jungers, Raphael M.; Michiels, Wim
作者单位：Universidad de Guanajuato; Universite Catholique Louvain; KU Leuven
摘要：The H-2 norm of an exponentially stable system described by delay differential algebraic equations (DDAEs) might be infinite due to the existence of hidden feedthrough terms and, as shown in this article, it might become infinite as a result of infinitesimal changes to the delay parameters. We introduce the notion of strong H-2 norm of semi-explicit DDAEs, a robustified measure that considers delay perturbations, and we analyze its properties. We derive necessary and sufficient finiteness crit...
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作者：Luo, Shixian; Deng, Feiqi; Yu, Xinghuo
作者单位：Guangxi University; South China University of Technology; Royal Melbourne Institute of Technology (RMIT)
摘要：This article proposes a unified Lyapunov framework for analyzing the stochastic asymptotic and finite-time convergence/stability for Ito stochastic nonlinear systems. By exploring the coupling effect between the drift and the diffusion parts of the system, novel almost sure convergence/stability criteria are established. For the finite-time case, the stability criteria not only capture the stabilizing effect of stochastic noise but also include the existing finite-time stability criteria as sp...
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作者：McCarthy, Philip James; Nielsen, Christopher
作者单位：University of Waterloo
摘要：In this article, we examine a regulator problem for a class of fully actuated continuous-time invariant systems on Lie groups, using a discrete-time controller with constant sampling period. We present a smooth discrete-time control law that achieves global regulation on simply connected nilpotent Lie groups. We first solve the problem when both the plant state and exosystem state are available for feedback, then in the case where the plant state and plant output are available for feedback. Th...
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作者：Pang, Bo; Bian, Tao; Jiang, Zhong-Ping
作者单位：New York University; New York University Tandon School of Engineering; Bank of America Corporation
摘要：This article studies the robustness of policy iteration in the context of continuous-time infinite-horizon linear quadratic regulator (LQR) problem. It is shown that Kleinman's policy iteration algorithm is small-disturbance input-to-state stable, a property that is stronger than Sontag's local input-to-state stability but weaker than global input-to-state stability. More precisely, whenever the error in each iteration is bounded and small, the solutions of the policy iteration algorithm are a...
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作者：Huang, Lingying; Wu, Junfeng; Mo, Yilin; Shi, Ling
作者单位：The Chinese University of Hong Kong, Shenzhen; Zhejiang University; Tsinghua University
摘要：We consider the problem of sensor and actuator (SaA) placement to minimize an infinite-horizon linear quadratic Gaussian (LQG) cost for a discrete-time Gauss-Markov system. Due to financial, topology, and bandwidth limitations, only a subset of SaAs can be selected for placement. Different from existing literature, which successively iterates partial selection to reach a suboptimal solution, this article focuses on a joint placement and encounters fundamental difficulty in the sense that joint...
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作者：Menini, Laura; Possieri, Corrado; Tornambe, Antonio
作者单位：University of Rome Tor Vergata; Consiglio Nazionale delle Ricerche (CNR); Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti (IASI-CNR)
摘要：The goal of this article is to show that the observation scheme recently proposed for linear systems by Menini et al. in 2019, achieving good performance in the presence of a high-frequency measurement disturbance, can be adapted to be used for nonlinear autonomous systems. The design is based on the use of the time-integrals of the measured output and requires the availability of a state observer able to provide a rough estimate of the state; the proposed scheme can be then understood as an o...
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作者：Wabersich, Kim J.; Hewing, Lukas; Carron, Andrea; Zeilinger, Melanie N.
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：Reinforcement learning (RL) methods have demonstrated their efficiency in simulation. However, many of the applications for which RL offers great potential, such as autonomous driving, are also safety critical and require a certified closed-loop behavior in order to meet the safety specifications in the presence of physical constraints. This article introduces a concept called probabilistic model predictive safety certification (PMPSC), which can be combined with any RL algorithm and provides ...
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作者：Khong, Sei Zhen; Kao, Chung-Yao
作者单位：National Sun Yat Sen University
摘要：Consider a linear time-invariant feedback system consisting of two open-loop stable subsystems. In this note, it is established that if such feedback system is stable for one subsystem being any arbitrarily passive system, then the other subsystem must be output strictly passive.
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作者：Liu, Fengjiao; Morse, A. Stephen
作者单位：Yale University
摘要：It is well known that the fixed spectrum (i.e., the set of fixed modes) of a multichannel linear system plays a central role in the stabilization of such a system with decentralized control. A parameterized multichannel linear system is said to be structurally complete if it has no fixed spectrum for almost all parameter values. Necessary and sufficient algebraic conditions are presented for a multichannel linear system with dependent parameters to be structurally complete. An equivalent graph...
