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作者：Pirastehzad, Armin; van der Schaft, Arjan; Besselink, Bart
作者单位：University of Groningen
摘要：We introduce ( gamma, delta )-similarity, a notion of system comparison that measures to what extent two stable linear dynamical systems behave similarly in an input-output sense. This behavioral similarity is characterized by measuring the sensitivity of the difference between the two output trajectories in terms of the external inputs to the two potentially nondeterministic systems. As such, ( gamma, delta )-similarity is a notion that characterizes approximation of input-output behavior, wh...
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作者：Rosenfeld, Joel A.; Kamalapurkar, Rushikesh
作者单位：State University System of Florida; University of South Florida; State University System of Florida; University of Florida
摘要：This article builds the theoretical foundations for dynamic mode decomposition (DMD) of control-affine dynamical systems by leveraging the theory of vector-valued reproducing kernel Hilbert spaces (RKHSs). Specifically, control Liouville operators and control occupation kernels are introduced to separate the drift dynamics from the input dynamics. A given feedback controller is represented through a multiplication operator, and a composition of the control Liouville operator and the multiplica...
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作者：Xu, Tao; Sun, Zhiyong; Wen, Guanghui; Duan, Zhisheng
作者单位：Beijing Institute of Technology; Beijing Institute of Technology; Peking University; Eindhoven University of Technology; Southeast University - China
摘要：This article revisits the event-triggered control problem from a data-driven perspective, where unknown continuous-time linear systems subject to disturbances are taken into account. Using data information collected offline instead of accurate system model information, a data-driven dynamic event-triggered control scheme is developed in this article. An update algorithm is proposed for dynamically updating the event-triggered function embedded in the event-triggered mechanism (ETM). Thanks to ...
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作者：Xue, Bai
作者单位：Chinese Academy of Sciences; Institute of Software, CAS
摘要：In this article, we propose a framework for synthesizing reach-avoid controllers for deterministic systems modeled by ordinary differential equations and stochastic systems modeled by stochastic differential equations based on the notion of control guidance-barrier functions. We first consider deterministic systems and aim to synthesize a reach-avoid controller that modifies a nominal controller in a minimal way to enforce the reach-avoid objective. This objective ensures that the system enter...
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作者：Zhang, Shiqi; Wu, Wuwei; Li, Zhongkui; Chen, Jie; Georgiou, Tryphon T.
作者单位：City University of Hong Kong; Peking University; University of California System; University of California Irvine
摘要：The design of optimization algorithms has long been a matter of art, and it calls for the systematic development of methods in which algorithms can be analyzed, designed, and benchmarked with regard to their key attributes such as efficiency, complexity, and robustness. This article answers this need by providing a frequency-domain framework for algorithm analysis and synthesis, with a particular emphasis on distributed optimization problems. We propose a general class of gradient-based distri...
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作者：Zhang, Zhengqiang; Li, Wenjie; Ge, Shuzhi Sam
作者单位：Qufu Normal University; National University of Singapore; Qingdao University
摘要：In this article, the problem of global stabilization for a class of nonlinear strict-feedback time-delay systems is addressed by adopting the adaptive parameter estimation method and backstepping technique. The Lyapunov-Krasovskii functionals with static gain functions are designed in each step of the backstepping process. With the help of the sufficiently smooth projection operator, the relationship between the Lyapunov-Krasovskii functional and the previous virtual control laws is establishe...
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作者：Liu, Jianzhou; Tang, Fuying; Xu, Yan
作者单位：Xiangtan University; Xiangtan University
摘要：Discrete coupled Riccati matrix equations, which play an important role in the analysis and design of discrete-time Markov jump systems of control theory, have been studied extensively. In Li et al. (2022), an iterative algorithm for positive definite solutions of these matrix equations was presented. This article gives numerical examples to point out that the convergence proof of the iterative algorithm proposed in the above paper cites an incorrect conclusion, resulting in errors in the conv...
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作者：Madeira, Diego de S.; Correia, Wilkley B.
摘要：In this note, the problem of data-driven saturated state feedback design for polynomial nonlinear systems is solved by means of a sum-of-squares (SOS) approach. This new strategy combines recent results in the dissipativity theory and data-driven feedback control using noisy input-state data. SOS optimization is employed in this work for controller design and to deliver an estimate of the closed-loop domain of attraction under saturated feedback. Numerical examples allow the reader to verify t...
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作者：Pan, Weihao; Zhang, Xianfu; Fan, Debao; Feng, Gang
作者单位：Shandong University; City University of Hong Kong
摘要：This note presents a gain scaling approach to the dynamic event-triggered impulsive tracking control problem for strict-feedback nonlinear systems. The nonlinear growth rate under consideration is allowed to contain a continuous function of the system output, and the problem has not been considered under the existing impulsive control framework. By constructing a state transformation, a novel dynamic event-triggered impulsive tracking controller is designed. It is proved that the proposed impu...
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作者：Sui, Shuai; Chen, C. L. Philip; Tong, Shaocheng
作者单位：Liaoning University of Technology; South China University of Technology
摘要：In this article, we study the predefined-time adaptive control problem for a class of strict-feedback nonlinear systems with parametric uncertainties and disturbances. A new practical predefined time stable (PPTS) criterion is first presented as the theoretical basis of predefined time control design, and then a new nonlinear command filter is designed. Based on the established PPTS criterion and backstepping control design technique, a command filter-based predefined time adaptive backsteppin...
