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作者：Lu, Xiujuan; Chen, Ying; Zhu, Bohao; Shen, Jun; Du, Baozhu; Chen, Yonghua; Lam, James
作者单位：University of Hong Kong; Nanjing University of Aeronautics & Astronautics; Hainan University
摘要：This article presents a new version of the Kalman-Yakubovich-Popov lemma for linear systems with their states constrained in proper cones. Based on this lemma, two important applications are introduced. One is the stabilization controller design to satisfy the spectral radius performance while preserving cone invariance. The other is to obtain an H-infinity state-feedback controller such that both H-infinity performance and cone invariance are guaranteed. Moreover, to address these two problem...
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作者：Rathnayake, Bhathiya; Diagne, Mamadou
作者单位：University of California System; University of California San Diego; University of California System; University of California San Diego
摘要：This article introduces the first observer-based periodic event-triggered control (PETC) and self-triggered control (STC) for boundary control of a class of parabolic partial differential equations (PDEs) using PDE backstepping control. We introduce techniques to convert a certain class of continuous-time event-triggered control into PETC and STC, eliminating the need for continuous evaluation of the triggering function. For the PETC, the triggering function requires only periodic evaluations ...
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作者：Koehler, Andreas; Marijan, Pascal; Zhang, Ping
摘要：This article proposes a new approach for the enforcement of current-state opacity in signal interpreted Petri nets (SIPN). In order to enforce current-state opacity in SIPNs, the properties of iterative firing and simultaneous firing of transitions are considered. To prevent the intruder from inferring the current marking, signals associated with the secret marking are compared to signals associated with alternative markings. This allows to determine which signals need to be encrypted to confu...
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作者：Wang, Guangchen; Wang, Wencan
作者单位：Shandong University; Wuhan Textile University
摘要：In this article, we consider a linear-quadratic optimal control problem of mean-field stochastic differential equation with jump diffusion, which is also called as an mean-field linear-quadratic problem with jump diffusion (MF-LQJ) problem. Here, cost functional is allowed to be indefinite. We use an equivalent cost functional method to deal with the MF-LQJ problem with indefinite weighting matrices. Some equivalent cost functionals enable us to establish a bridge between indefinite and positi...
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作者：Chen, Guoyuan
作者单位：Zhejiang University of Finance & Economics
摘要：For an infinite-horizon control problem, the optimal control can be represented by the stable manifold of the characteristic Hamiltonian system of Hamilton-Jacobi-Bellman (HJB) equation in a semiglobal domain. In this article, we first theoretically prove that if an approximation is sufficiently close to the exact stable manifold of the HJB equation in a certain sense, then the control derived from this approximation stabilizes the system and is nearly optimal. Then, based on the theoretical r...
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作者：Estrada, Manuel A.; Fridman, Leonid; Moreno, Jaime A.
作者单位：Universidad Nacional Autonoma de Mexico; Universidad Nacional Autonoma de Mexico
摘要：This article presents an innovative framework for passive fault-tolerant control (FTC) based on the Lyapunov redesign utilizing sliding mode controllers (SMC). The article introduces three schemes for passive FTC design. First, it advocates employing the Lyapunov redesign in the FTC design with the unit SMC, resulting in a generation of a discontinuous control signal. The article establishes novel conditions for system insensibility concerning the norm of actuator faults. To address chattering...
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作者：Navarro, Luiz; Maggiore, Manfredi
作者单位：University of Toronto
摘要：This article presents a hybrid controller to stabilize a class of closed orbits for mechanical systems with degree of underactuation one. The controller has a hierarchical structure, whereby at the low level, a smooth feedback enforces a virtual holonomic constraint in a family, while at the high level, a supervisor selects from within the family the constraint to be enforced. To illustrate these ideas, the controller is first used to stabilize oscillations for the acrobot in a manner reminisc...
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作者：Raj, Phani; Pal, Debasattam
作者单位：Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
摘要：In this article, we prove multiple criteria for the stability of switched discrete-time linear singular (SDLS) systems. First, we show that if the Lie algebra generated by the flow matrices associated with an SDLS system, consisting of stable subsystems, is solvable, then the SDLS system is globally uniformly exponentially stable. Most results in the literature are based on commutativity and the Lie algebraic results of this note generalize the existing results. Furthermore, using the first re...
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作者：Wang, Fu-Cheng; Lee, Chung-Hsien
作者单位：National Taiwan University
摘要：This article proposes a novel control theorem called hybrid disturbance response decoupling (HDRD), which facilitates the independent and simultaneous modification of all transmission paths of a multivariable system. The control design for multivariable systems is challenging because feedback controllers can usually affect all the transmission paths concurrently. Improving the performance of some transmission paths might sacrifice the performance of others; therefore, the disturbance response ...
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作者：Wang, Yuan; Liu, Yungang
作者单位：Shandong University
摘要：Currently, performance-guaranteed global controls, in the output-feedback context, basically need system nonlinearities (or growths) to be output dependent only. This is an essential constraint to the existing works, in which control design is on the premise that the nonlinearities can be implied bounded. Therein, the time-varying gains, which merged performance boundary and output, directly implied the boundedness of the output and in turn that of the output-dependent nonlinearities. This art...
