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作者：Tian, Bailing; Li, Zhiyu; Zong, Qun
作者单位：Tianjin University
摘要：A multivariable finite-time control algorithm is proposed for double integrator systems with matched disturbances. The remarkable feature of the developed method is to ensure the finite-time stability of the closed-loop system with uniformly bounded control signal with respect to arbitrary initial conditions. The convergence criteria are derived by using the Lyapunov-based techniques, and the upper bound of the control signal can be calculated based on the obtained criteria. Finally, the effec...
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作者：Trentelman, Harry L.; van Waarde, Henk J.; Camlibel, M. Kanat
作者单位：University of Groningen
摘要：In this article, the classical algebraic regulator problem is studied in a data-driven context. The endosystem is assumed to be an unknown system that is interconnected to a known exosystem that generates disturbances and reference signals. The problem is to design a regulator so that the output of the (unknown) endosystem tracks the reference signal, regardless of its initial state and the incoming disturbances. In order to do this, we assume that we have a set of input-state data on a finite...
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作者：Tu, Yuanyuan; Wang, Dayi; Ding, Steven X.; Fu, Fangzhou; Li, Wenbo
作者单位：University of Duisburg Essen; Sun Yat Sen University
摘要：This article addresses reconfiguration-based fault-tolerant control (FTC) with robust guaranteed performance for nonlinear uncertain systems under actuator faults. A PAssive/ACTive combined FTC method is proposed based on reliable control, which synthesizes the advantages of the active and passive FTC and strikes a balance between the performance and complexity of the method. Moreover, the reliability overcost of this method is reduced to balance the system nominal performance and reconfigurab...
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作者：Wang, Yuanjiu; Lin, Wei
作者单位：University System of Ohio; Case Western Reserve University
摘要：This article investigates the problem of how to control nonlinear systems with delays in the state by memoryless linear feedback. The notions of semiglobal asymptotic stabilization and sublevel sets are introduced in the context of time-delay systems. With the aid of Razumikhin theorem, we develop a semiglobal design method for the construction of Lyapunov functions, associated sublevel sets, and delay-free linear state feedback laws, step-by-step, achieving semiglobal asymptotic stabilization...
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作者：Meng, Deyuan; Wu, Yuxin
作者单位：Beihang University; Beihang University
摘要：In the interaction between control and mathematics, mathematical tools are fundamental for all control methods, but it is unclear how control impacts mathematics. This article attempts to give an answer with focus on solving linear algebraic equations (LAEs) from the perspective of systems and control. By proposing an iterative method that integrates a learning control mechanism, a class of tracking problems for iterative learning control (ILC) is explored for the problem solving of LAEs. A tr...
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作者：Mulagaleti, Sampath Kumar; Bemporad, Alberto; Zanon, Mario
作者单位：IMT School for Advanced Studies Lucca
摘要：In robust control under state constraints, the set of admissible inputs is usually considered as given, under the assumption that the actuators have been already designed. However, if the input set is too small, any controller will fail in stabilizing the closed-loop system while satisfying all prescribed constraints for some initial states of interest, or vice versa the chosen actuators may be oversized. To handle this issue, in this article, we address the problem of computing the smallest i...
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作者：Lavaei, Abolfazl; Zamani, Majid
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Colorado System; University of Colorado Boulder
摘要：This work is concerned with a compositional technique for the construction of finite abstractions (a.k.a., finite Markov decision processes (MDPs)) for networks of discrete-time stochastic switched systems. We propose a framework based on a notion of stochastic simulation functions, using which one can quantify the probabilistic distance between original interconnected stochastic switched systems and their finite MDPs by leveraging dissipativity-type compositional conditions. We show that the ...
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作者：Zhang, Zhirong; Wen, Changyun; Xing, Lantao; Song, Yongduan
作者单位：Chongqing University; Nanyang Technological University; Shandong University
摘要：It is still an open problem to synthesize control with input and output quantizations for nonlinear systems subject to mismatched parametric uncertainties via backstepping design. This is because 1) the output becomes discontinuous and nondifferentiable after quantization, making the conventional recursive backstepping design method unsuitable as the differentiation of the virtual control signals does not exist, while the existing backstepping-based quantized control method is only applicable ...
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作者：Ferrante, Augusto; Picci, Giorgio
作者单位：University of Padua
摘要：This article answers a system-theoretic conjecture proposed by Ferrante and Picci (2017). A counterexample to such conjecture is presented along with a modification of the statement, which preserves the essence of the result and is proven to be true.
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作者：Zhang, Yanjun; Zhang, Ji-Feng; Liu, Xiao-Kang
作者单位：Beijing Institute of Technology; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; Huazhong University of Science & Technology
摘要：This article presents a new study on adaptive control of multi-input and multi-output (MIMO) discrete-time nonlinear systems with a noncanonical form involving parametric uncertainties. The adaptive control scheme employs a vector relative degree formulation to reconstruct the noncanonical system dynamics and derives a normal form. Then, a new matrix decomposition-based adaptive control scheme is proposed for the controlled plant with a vector relative degree [1, 1,..., 1] under some relaxed d...
