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作者：Liu, Jun
作者单位：University of Waterloo
摘要：We prove a robust converse barrier function theorem via the converse Lyapunov theory. While the use of a Lyapunov function as a barrier function is straightforward, the existence of a converse Lyapunov function as a barrier function for a given safety set is not. We establish this link by a robustness argument. We show that the closure of the forward reachable set of a robustly safe set must be robustly asymptotically stable under mild technical assumptions. As a result, all robustly safe dyna...
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作者：van Waarde, Henk J.; Camlibel, M. Kanat; Mesbahi, Mehran
作者单位：University of Groningen; University of Groningen; University of Washington; University of Washington Seattle
摘要：In this article, we propose a new method to obtain feedback controllers of an unknown dynamical system directly from noisy input/state data. The key ingredient of our design is a new matrix S-lemma that will be proven in this article. We provide both strict and nonstrict versions of this S-lemma, which are of interest in their own right. Thereafter, we will apply these results to data-driven control. In particular, we will derive nonconservative design methods for quadratic stabilization, H-2 ...
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作者：An, Liwei; Yang, Guang-Hong
作者单位：Northeastern University - China; Northeastern University - China
摘要：This article investigates the data-based distributed sensor scheduling for a wireless sensor network (WSN), where multiple sensor nodes monitor different linear systems correspondingly. The WSN admits a network topology to formulate a fully distributed sensor scheduling policy, and transmits measured information over a shared wireless channel. Due to the bandwidth limit, at each time only partial sensor nodes can send their measurements to the corresponding remote controller. By introducing a ...
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作者：Kody, Alyssa; Scruggs, Jeff
作者单位：University of Michigan System; University of Michigan; United States Department of Energy (DOE); Argonne National Laboratory; University of Michigan System; University of Michigan
摘要：A self-powered control system derives the energy to power its operation entirely from the dynamics of the plant in which it is embedded. Each actuator is a transducer capable of injecting energy into, as well as removing energy from, the plant. Removed energy is stored for reuse in rechargeable energy storage subsystems. Control inputs are physically constrained by the requirement that the system does not exhaust these energy storage subsystems. This article analyzes model-predictive control (...
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作者：Rosolia, Ugo; Singletary, Andrew; Ames, Aaron D.
作者单位：California Institute of Technology
摘要：In this article, we present a hierarchical multirate control architecture for nonlinear autonomous systems operating in partially observable environments. Control objectives are expressed using syntactically co-safe linear temporal logic (LTL) specifications and the nonlinear system is subject to state and input constraints. At the highest level of abstraction, we model the system-environment interaction using a discrete mixed observable Markov decision process, where the environment states ar...
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作者：Ding, Shihong; Mei, Keqi; Yu, Xinghuo
作者单位：Jiangsu University; Royal Melbourne Institute of Technology (RMIT)
摘要：This article proposes an adaptive second-order sliding mode (ASOSM) controller design by means of the Lyapunov method. The notable feature of the proposed algorithm is that it only needs boundedness of the uncertainties, whereas boundedness of the derivatives of uncertainties is not demanded. Under the proposed ASOSM control scheme, the gain can be dynamically tuned, which avoids gain overestimation. The finite-time stability of the closed-loop ASOSM dynamics is proved via the Lyapunov theory....
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作者：Hu, Bin; Tamba, Tua A.
作者单位：Old Dominion University; Universitas Katolik Parahyangan
摘要：This article considers a codesign problem for industrial networked control systems to ensure both stability and efficiency properties of such systems. This problem is particularly challenging due to the fact that wireless communications in industrial environments are not only subject to shadow fading, but also stochastically correlated with their surrounding environments. This article first introduces a novel state-dependent Markov channel (SD-MC) model that explicitly captures the state-depen...
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作者：Nugroho, Sebastian Adi; Taha, Ahmad F.; Hoang, Vu
作者单位：University of Michigan System; University of Michigan; Vanderbilt University; University of Texas System; University of Texas at San Antonio
摘要：Numerous state-feedback and observer designs for nonlinear dynamic systems (NDS) have been developed in the past three decades. These designs assume that NDS nonlinearities satisfy one of the following function set classifications: bounded Jacobian, Lipschitz continuity, one-sided Lipschitz, quadratic inner-boundedness, and quadratic boundedness. These function sets are characterized by constant scalars or matrices bounding the NDS' nonlinearities. These constants depend on the NDS' operating ...
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作者：Angeli, David; Al-Radhawi, Muhammad Ali; Sontag, Eduardo D.
作者单位：Imperial College London; University of Florence; Northeastern University; Northeastern University
摘要：We introduce the notion of nonoscillation, propose a constructive method for its robust verification, and study its application to biological interaction networks (also known as, chemical reaction networks). We begin by revisiting Muldowney's result on the nonexistence of periodic solutions based on the study of the variational system of the second additive compound of the Jacobian of a nonlinear system. We show that exponential stability of the latter rules out limit cycles, quasi-periodic so...
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作者：Huang, Jianhui; Wang, Shujun; Wu, Zhen
作者单位：Hong Kong Polytechnic University; Shandong University; Shandong University
摘要：This article formalizes two types of modeling uncertainties in a stochastic Stackelberg linear-quadratic (LQ) differential game and then discusses the associated robust Stackelberg strategy design for either the leader or follower. Both uncertainties are primarily motivated by practical applications in engineering and management. The first uncertainty is connected to a disturbance unknown to the follower but known to the leader. A soft-constraint min-max control is applied by the follower to d...
