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作者：Shi, Kanghong; Petersen, Ian R.; Vladimirov, Igor G.
作者单位：Australian National University
摘要：In this article, we present necessary and sufficient conditions under which a linear time-invariant (LTI) system is state feedback equivalent to a negative imaginary (NI) system. More precisely, we show that a minimal LTI strictly proper system can be rendered NI using full state feedback, if and only if it can be output transformed into a system, which has relative degree less than or equal to two and is weakly minimum phase. We also considered the problems of state feedback equivalence to ou...
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作者：Geromel, Jose C.; Nunes, Eduardo Vieira Leao; Hsu, Liu
作者单位：Universidade Estadual de Campinas
摘要：The aim of this article is to provide a new linear matrix inequality (LMI)-based robust multivariable super-twisting algorithm design able to deal with convex bounded model uncertainties in the input matrix and exogenous disturbances with norm-bounded time derivative. The final state feedback gain is calculated from a convex programming problem, expressed by LMIs with respect to all involved variables, that optimizes a guaranteed (worst case) performance index associated to the closed-loop sys...
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作者：Sun, Jiankun; Yang, Jun; Zeng, Zhigang
作者单位：Huazhong University of Science & Technology; Loughborough University
摘要：In this article, we investigate the continuous and sampled-data safety-critical control problems with control barrier functions in the presence of time-varying disturbances. To this end, a nonlinear disturbance observer is first designed to estimate the disturbance, and the continuous safe control design of the nominal systems is formulated as a quadratic program. We then design a continuous composite controller by integrating the disturbance compensation term and the state feedback term compu...
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作者：Xian, Chengxin; Zhao, Yu; Wen, Guanghui; Chen, Guanrong
作者单位：Northwestern Polytechnical University; Southeast University - China; City University of Hong Kong
摘要：In this article, the robust distributed optimal coordination (DOC) problem over unbalanced directed communication networks is investigated for heterogeneous multiagent systems subjected to external disturbances. First, by introducing an external disturbance observer, a balanced compensation variable and using the output regulation technique, a new robust continuous-time DOC algorithm is developed, ensuring that the sum of the local convex objective functions is optimal and the behaviors of all...
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作者：Yan, Yuyue; Hayakawa, Tomohisa
作者单位：Institute of Science Tokyo; Tokyo Institute of Technology
摘要：A Pareto-improving incentive mechanism to improve the weighted social welfare and achieve continual Pareto improvement for a pseudogradient-based noncooperative dynamical system is developed. In the proposed approach, the system manager remodels agents' dynamical decision-making by collecting taxes from some agents and giving some of the collected taxes to other agents as subsidies with a sustainable budget constraint. Sufficient conditions are derived under which agents' state converges towar...
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作者：Mu, Biqiang; Chen, Tianshi
作者单位：Chinese Academy of Sciences; The Chinese University of Hong Kong, Shenzhen; Shenzhen Research Institute of Big Data; The Chinese University of Hong Kong, Shenzhen
摘要：Kernel-based regularized system identification is one of the major advances in system identification in the past decade. A recent focus is to develop its asymptotic theory and it has been found that the Stein's unbiased risk estimator is asymptotically optimal (AO) in the sense of minimizing the mean squared error for prediction ability, but the empirical Bayes estimator is not AO in general. In this article, we further study the AO of various cross-validation (CV) estimators and show that the...
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作者：Rapisarda, P.; van Waarde, Henk J.; Camlibel, M. K.
作者单位：University of Southampton; University of Groningen
摘要：We use polynomial approximation theory to perform data-driven analysis and control of linear, continuous-time invariant systems. We transform the continuous-time input trajectories and state trajectories into discrete sequences consisting of the coefficients of their orthogonal polynomial bases representations. We show that the dynamics of the transformed input signals and state signals and those of the original continuous-time trajectories are described by the same system matrices. We investi...
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作者：Viana, Valessa V.; Kreiss, Jeremie; Jungers, Marc
作者单位：Universite de Lorraine; Centre National de la Recherche Scientifique (CNRS)
摘要：This article proposes a new approach for computing controlled invariant and output invisible subspaces of parameter-dependent systems. Nonstrictly proper systems are considered, and the system matrices can exhibit a polynomial dependence on the parameter. The proposed approach is applied in both contexts of constant and parameter-dependent inputs making the subspace invariant, referred to as the generalized or generalized adaptively controlled invariant and output invisible subspaces. A large ...
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作者：Deng, Li; Shu, Zhan; Chen, Tongwen
作者单位：University of Alberta
摘要：An event-triggered robust model predictive control (MPC) design is proposed for unknown systems using initially measured input-output data. A terminal inequality constraint is developed for the MPC optimization problem without any prior identification, resulting in a larger feasible region and a lower bound for the prediction horizon when compared with a terminal equality constraint. An event-triggered scheme associated with a local controller is designed to trigger the solution of the data-dr...
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作者：Ma, Qianqian; Liu, Yang-Yu; Olshevsky, Alex
作者单位：Boston University; Harvard University; Harvard University Medical Affiliates; Brigham & Women's Hospital; Harvard Medical School; Boston University
摘要：As a common strategy of contagious disease containment, lockdowns inevitably have economic cost. The ongoing COVID-19 pandemic underscores the tradeoff arising from public health and economic cost. An optimal lockdown policy to resolve this tradeoff is desired. Here, we propose a mathematical framework of pandemic control through an optimal fixed stabilizing nonuniform lockdown, where our goal is to reduce the economic activity as little as possible while decreasing the number of infected indi...
