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作者：Jiang, Kaiwen; Li, Zhi; Zhang, Ying
作者单位：Harbin Institute of Technology
摘要：In this article, iterative algorithms are investigated to solve the Riccati algebraic matrix equations arising in the context of linear quadratic (LQ) optimal control of discrete-time Markov jump systems. By using the matrix inversion lemma, an equivalent form for the considered coupled Riccati matrix equation is constructed, and then two intermediate variables are introduced to further construct a new equivalent form in order to avoid the operation of matrix inversion. With the aid of the obt...
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作者：Parsa, Javad; Rojas, Cristian R.; Hjalmarsson, Hakan
作者单位：Royal Institute of Technology
摘要：The maximum absolute correlation between regressors, which is called mutual coherence, plays an essential role in sparse estimation. A regressor matrix whose columns are highly correlated may result from optimal input design, since there is no constraint on the mutual coherence, making it difficult to handle sparse estimation. This article aims to tackle this issue for fixed denominator models, which include Laguerre, Kautz, and generalized orthonormal basis function expansion models, for exam...
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作者：Angeli, David; Manfredi, Sabato
作者单位：Imperial College London; University of Florence; University of Naples Federico II
摘要：In the scientific literature of the past two decades many conditions to assess consensus-ability in multiagent networks with 1-to-1 interactions have been proposed. More recently the framework has been extended to include the m-to-1 type-interactions, referred as joint-agent interactions. In this article, we consider a novel framework of networks with 1-to-n interactions, potentially extendable to m-to-n ones, and formulate sufficient and necessary analytical conditions for consensus-ability. ...
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作者：Ding, Lei; Ye, Maojiao; Han, Qing-Long; Jia, Guobiao
作者单位：Nanjing University of Posts & Telecommunications; Nanjing University of Science & Technology; Swinburne University of Technology
摘要：This article is concerned with distributed dynamic event-triggered Nash equilibrium seeking in merely monotone games under switching communication topologies. Based on a regularization algorithm, a gradient play and a leader-following consensus protocol, a distributed Nash equilibrium seeking strategy incorporating an event- and switching-activated communication scheme is established. More specifically, the regularization algorithm is involved to compensate for the absence of strict/strong mon...
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作者：Mi, Yilin; Xu, Feng; Wang, Xueqian; Liu, Yu
作者单位：Harbin Institute of Technology; Tsinghua University; Tsinghua Shenzhen International Graduate School
摘要：this article, we develop a method to compute ellipsoidal maximal tolerable fault (e-MTF) sets of robust model predictive control (MPC) for passive fault tolerance. The maximal tolerable fault set serves as an index to evaluate the passive fault- tolerance capabilities of robust MPC frameworks. In particular, a regulation problem for a discrete-time linear time-invariant system with an additive fault model is considered. We construct convex optimization problems to compute the e-MTF sets for th...
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作者：Shi, Wenrui; Keliris, Christodoulos; Hou, Mingzhe; Duan, Guangren; Polycarpou, Marios M.
作者单位：Harbin Institute of Technology; University of Cyprus; University of Cyprus
摘要：Existing function augmented sliding mode control approaches based on preset trajectories are applicable only to matched uncertain systems. In this article, two preset-trajectory-based tracking control methods are proposed for a class of mismatched uncertain systems utilizing the backstepping method. The first method is the preset-trajectory-based practical prescribed-time tracking control method, which can guarantee that the output tracking error converges to a prescribed zone in a prescribed ...
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作者：Luo, Jialei; Liu, Wei
作者单位：South China University of Technology
摘要：This article is dedicated to robust output regulation for a class of linear minimum-phase systems with guarantee of asymmetric prescribed performance. Through internal model principle, we first construct a so-called augmented system with the considered system and some designed internal models. Then, we convert the prescribed performance robust output regulation problem into the prescribed performance robust stabilization problem of the augmented system with a series of input and coordinate tra...
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作者：Long, Lijun; Tang, Siyu
作者单位：Northeastern University - China; Northeastern University - China
摘要：This article investigates the problem of adaptive safety control for a class of nonlinearly parameterized systems. A novel adaptive safety control strategy for the problem studied is established to guarantee system safety, in which a logic switching mechanism is designed to replace parameter update law and a barrier function with a high relative degree with respect to the control input is considered. Also, a high-order parameterized control barrier function is introduced, which can accommodate...
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作者：Cimini, Gionata; Bemporad, Alberto
作者单位：IMT School for Advanced Studies Lucca
摘要：This article presents a highly efficient method for robustly eliminating equality constraints in optimization problems arising from model predictive control (MPC). Such a condensing operation is often implemented to reduce the number of optimization variables through the direct elimination of state variables by substitution, a procedure which is prone to numerical instability and whose complexity scales linearly with the prediction horizon. We propose a novel blocked QR decomposition algorithm...
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作者：Huang, Longyang; Zhao, Lin; Zhang, Weidong
作者单位：Shanghai Jiao Tong University; National University of Singapore; Hainan University
摘要：Reinforcement learning (RL) has demonstrated promising results in the data-driven design of linear quadratic regulator (LQR) controllers. However, existing RL-based LQR controller design methods face challenges regarding computational complexity, sample complexity, system stability, and the requirement for a stabilizing gain. To address these issues, this article proposes a novel low-complexity Q-value iteration algorithm. We establish the convergence and monotonicity of the iterative sequence...
