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作者：Zhu, Yang; Fridman, Emilia; Oliveira, Tiago Roux
作者单位：Zhejiang University; Tel Aviv University; Universidade do Estado do Rio de Janeiro
摘要：This article proposes a constructive method for sampled-data extremum seeking (ES) with square wave dithers and constant delays, by using two time-delay approaches: one to averaging and the other to sampled-data control. We consider gradient-based ES for static maps which are of quadratic forms. By transforming the ES system to the time-delay system, we have developed a stability analysis via a Lyapunov-Krasovskii method. We derive the practical stability conditions in terms of linear matrix i...
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作者：Nowicki, Marcin; Respondek, Witold
作者单位：Poznan University of Technology; Lodz University of Technology
摘要：We present a new type of feedback linearization that is tailored for mechanical control systems. We call it mechanical feedback linearization. Its basic feature is the preservation of the mechanical structure of the system. For mechanical systems with a scalar control, we formulate necessary and sufficient conditions that are verifiable using differentiations and algebraic operations only. We illustrate our results with several examples.
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作者：Saeki, Masami
作者单位：Hiroshima University
摘要：We study the model matching problem of determining a feedforward controller for a multi-input-multi-output (MIMO) linear time-invariant plant and a reference model. In this article, we propose a model matching method for the outer of the plant square transfer function, in which the singular values of the frequency response of the control system are sufficiently close to those of the reference model. The model matching method is provided for both continuous-time and discrete-time plants. The di...
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作者：Soloperto, Raffaele; Mesbah, Ali; Allgower, Frank
作者单位：University of Stuttgart; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of California System; University of California Berkeley
摘要：In this article, we propose a novel model predictive control (MPC) framework for output tracking that deals with partially unknown constraints. The MPC scheme optimizes over a learning and a backup trajectory. The learning trajectory aims to explore unknown and potentially unsafe areas, if and only if this might lead to a potential performance improvement. On the contrary, the backup trajectory lies in the known space, and is intended to ensure safety and convergence. The cost function for the...
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作者：Wang, Bo; Tian, Yu-Ping; Han, Zhimin
作者单位：Hangzhou Dianzi University
摘要：The quadratic Lyapunov function-based method for consensus analysis of discrete-time single-integrator multiagent systems (MASs) in general time-varying directed networks is not well developed, whereas for continuous-time cases remains blank. This note develops this method for both discrete-time and continuous-time MASs with a constant-gain protocol when the network is uniformly strongly connected. By proving the convergence to zero of quadratic Lyapunov functions, we first establish the expon...
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作者：Zhang, Tianliang; Zhang, Weihai
作者单位：Qingdao University of Technology; Nanjing University of Science & Technology; Shandong University of Science & Technology
摘要：This note gives necessary and sufficient conditions for two quadratic equalities to hold based on Moore-Penrose pseudoinverse. The obtained results generalize the well-known identity x(T )Ax + x(T)b + b(T)x =(x + A(-1)b)(T )A(x + A(-1)b) - b(T)A(-1)b to the case of the nonexistence of A-1 . As applications, the previous results on indefinite stochastic linear quadratic optimal control can be easily retrieved, and some consequences on stochastic H-infinity control and nonlinear optimal control ...
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作者：Yang, Hongjiu; Cao, Jiang; Yuan, Yuan; Wang, Jin
作者单位：Tianjin University; Northwestern Polytechnical University
摘要：To investigate modulus consensus on multiple interdependent topics with heterogeneous logical relationships, a comprehensive opinion dynamics model is proposed in a time-varying influence network. There exist cooperative and antagonistic interpersonal interactions in the time-varying influence network. A logic matrix is designed to describe the heterogeneous logical relationships within multiple interdependent topics. Based on graph theory, both convergence and modulus consensus are shown for ...
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作者：Lan, Jianglin; Zhao, Dezong
作者单位：University of Glasgow
摘要：This article addresses the problem of finding the linear quadratic regulator (LQR) weights such that the associated discrete-time algebraic Riccati equations admit a common optimal stabilizing solution. Solving such a problem is key to designing LQR controllers to stabilize discrete-time switched linear systems under arbitrary switching, or stabilize polytopic systems (e.g., Takagi-Sugeno fuzzy systems and linear parameter varying systems) in the entire operating region. To ensure problem trac...
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作者：Song, Yue; Hill, David J.; Liu, Tao; Zhang, Xinran
作者单位：Tongji University; Tongji University; University of Hong Kong; Monash University; Beihang University
摘要：The impasse surface is an important concept in the differential-algebraic equation (DAE) model of power systems, which is associated with short-term voltage collapse. This article establishes a necessary condition for a system trajectory hitting the impasse surface. The condition is in terms of admittance matrices regarding the power network, generators, and loads, which specifies the pattern of interaction between those system components that can induce voltage collapse. It applies to generic...
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作者：Zhang, Dandan; Jin, Xin; Su, Hongye
作者单位：Zhejiang University; East China University of Science & Technology
摘要：In this article, we propose a new random reset rule for attitude control systems, where a new Lyapunov-Foster function implies the robust global attitude control without adding any constraints on the random reset rule, except the support domain for the involved random variables. Compared with deterministic binary logic variables, random variables introduce an automatically adjusted hysteresis half-width for each reset process, thus bring a flexible tradeoff between the hysteresis-induced ineff...
