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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:Granzotto, Mathieu; De Silva, Olivier Lindamulage; Postoyan, Romain; Nesic, Dragan; Jiang, Zhong-Ping
作者单位:University of Melbourne; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine; New York University
摘要:We consider deterministic nonlinear discrete-time systems whose inputs are generated by policy iteration (PI) for undiscounted cost functions. We first assume that PI is recursively feasible, in the sense that the optimization problems solved at each iteration admit a solution. In this case, we provide novel conditions to establish recursive robust stability properties for a general attractor, meaning that the policies generated at each iteration ensure a robust KL -stability property with res...
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作者:Liu, Wenjie; Wang, Gang; Sun, Jian; Bullo, Francesco; Chen, Jie
作者单位:Beijing Institute of Technology; University of California System; University of California Santa Barbara; University of California System; University of California Santa Barbara; Tongji University
摘要:This article addresses the joint state estimation and control problems for unknown linear time-invariant systems subject to both process and measurement noise. The aim is to redesign the linear quadratic Gaussian (LQG) controller-based solely on data. The LQG controller comprises a linear quadratic regulator (LQR) and a steady-state Kalman observer; while the data-based LQR design problem has been previously studied, constructing the Kalman gain and the LQG controller from noisy data presents ...
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作者:Liu, Zhaocong; Huang, Jie
作者单位:Chinese University of Hong Kong
摘要:In this article, we first construct a control law to solve the distributed Nash equilibrium (NE) seeking problem for games with multiple players whose actions are governed by a class of uncertain Euler-Lagrange (EL) systems. Then, we further consider the same problem with the EL systems subject to trigonometric polynomial disturbances with arbitrarily unknown amplitudes, initial phases, and frequencies. We integrate the internal model principle and the adaptive control technique to deal with s...
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作者:Chesi, Graziano
作者单位:University of Hong Kong
摘要:This article addresses the design of robust linear quadratic regulators for systems affected polynomially by uncertainty constrained in a semialgebraic set. The problem consists of determining a feedback controller that ensures a desired upper bound on the worst-case value of a quadratic cost. Two linear matrix inequality approaches are proposed, the first one based on the construction of a Lyapunov function that weakly depends on the uncertainty, and the second one based on the construction o...
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作者:Schimperna, Irene; Magni, Lalo
作者单位:University of Pavia
摘要:This article develops a control scheme, based on the use of long short-term memory neural network models and nonlinear model predictive control, which guarantees recursive feasibility with slow time variant set-points and disturbances, input and output constraints and unmeasurable state. Moreover, if the set-point and the disturbance are asymptotically constant, offset-free tracking is guaranteed. Offset-free tracking is obtained by augmenting the model with a disturbance, to be estimated toge...
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作者:Zhao, Wenyu; Tie, Lin
作者单位:Beihang University
摘要:It is well known that Lie algebra methods are the leading methods for studying controllability of continuous-time nonlinear systems including bilinear systems, where the controllability problems are usually transformed into the transitivity problems of the corresponding Lie algebras. Unfortunately, it is in general a difficult task to check transitivity of Lie algebras, especially in the high-dimensional cases. In this article, we propose a new notion, named near-transitivity. We focus on unco...
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作者:Li, Juntao; Liang, Cong; Meng, Deyuan
作者单位:Henan Normal University; Beihang University; Beihang University
摘要:This article aims to develop a general and designable distributed algorithm for solving linear algebraic equations (LAEs), which departs from the design framework based on orthogonal projection. The concept of adjustable domains for the parameter matrix is introduced, enabling the algorithm to derive flexible and variable updating rules for agents. By leveraging adjustable domains in control design, all agents can exponentially converge to a common (least squares) solution of (un)solvable LAEs...
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作者:Zeng, Zhexuan; Yue, Zuogong; Mauroy, Alexandre; Goncalves, Jorge; Yuan, Ye
作者单位:Huazhong University of Science & Technology; University of Namur; University of Luxembourg
摘要:Low sampling frequency challenges the exact identification of continuous-time (CT) dynamical systems from sampled data, even when their models are identifiable. A necessary and sufficient condition is proposed, built from the Koopman operator, for the exact identification of CT systems from sampled data. This condition provides a Nyquist-Shannon-like critical frequency for the exact identification of the CT nonlinear dynamical system, which has Koopman invariant spaces. First, it establishes a...