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作者：Naghnaeian, Mohammad; Voulgaris, Petros G.; Elia, Nicola
作者单位：Nevada System of Higher Education (NSHE); University of Nevada Reno; University of Minnesota System; University of Minnesota Twin Cities
摘要：This article deals with the problem of distributed control synthesis. We seek to find structured controllers that are stably implementable over the underlying network. We address the problem using an operator form of discrete-time linear systems. This allows for uniform treatment of various classes of linear systems, e.g., linear time invariant, linear time varying, or linear switched systems. We combine this operator representation for linear systems with the classical Youla parametrization t...
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作者：Jongeneel, Wouter; Schwan, Roland
作者单位：Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
摘要：Suppose that the origin is globally asymptotically stable under a set of continuous vector fields on Euclidean space and suppose that all those vector fields come equipped with-possibly different-convex Lyapunov functions. We show that this implies there is a homotopy between any two of those vector fields, such that the origin remains globally asymptotically stable along the homotopy. Relaxing the assumption on the origin to any compact convex set or relaxing convexity to geodesic convexity d...
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作者：Liu, Fengjiao; Tsiotras, Panagiotis
作者单位：University System of Georgia; Georgia Institute of Technology
摘要：In this article, we study the finite-horizon optimal covariance steering problem for a continuous-time linear stochastic system subject to both additive and multiplicative noise. The noise can be continuous or it may contain jumps. The additive noise does not depend on the state or the control, whereas the multiplicative noise has a magnitude proportional to the current state. The cost is assumed to be quadratic in both the state and the control. The optimal control for steering the covariance...
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作者：Zou, Yao; Huang, Bomin; Sun, Yongbin; Li, Qing; Meng, Ziyang; He, Wei
作者单位：University of Science & Technology Beijing; University of Science & Technology Beijing; University of Science & Technology Beijing; Jimei University; Beihang University; Tsinghua University
摘要：This article studies the constrained optimization problem of integrator chain multiagent systems from the distributed perspective. Particularly, all the agents collaborate to find an optimal solution of a global objective function summed by multiple local ones, each of which is just convex and belongs to an individual agent. However, the potential optimal solutions are simultaneously subject to set constraints and two kinds of equality constraints, i.e., individual equality constraint and aggr...
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作者：Chen, Guoyuan
作者单位：Zhejiang University of Finance & Economics
摘要：For an infinite-horizon control problem, the optimal control can be represented by the stable manifold of the characteristic Hamiltonian system of Hamilton-Jacobi-Bellman (HJB) equation in a semiglobal domain. In this article, we first theoretically prove that if an approximation is sufficiently close to the exact stable manifold of the HJB equation in a certain sense, then the control derived from this approximation stabilizes the system and is nearly optimal. Then, based on the theoretical r...
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作者：Estrada, Manuel A.; Fridman, Leonid; Moreno, Jaime A.
作者单位：Universidad Nacional Autonoma de Mexico; Universidad Nacional Autonoma de Mexico
摘要：This article presents an innovative framework for passive fault-tolerant control (FTC) based on the Lyapunov redesign utilizing sliding mode controllers (SMC). The article introduces three schemes for passive FTC design. First, it advocates employing the Lyapunov redesign in the FTC design with the unit SMC, resulting in a generation of a discontinuous control signal. The article establishes novel conditions for system insensibility concerning the norm of actuator faults. To address chattering...
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作者：Navarro, Luiz; Maggiore, Manfredi
作者单位：University of Toronto
摘要：This article presents a hybrid controller to stabilize a class of closed orbits for mechanical systems with degree of underactuation one. The controller has a hierarchical structure, whereby at the low level, a smooth feedback enforces a virtual holonomic constraint in a family, while at the high level, a supervisor selects from within the family the constraint to be enforced. To illustrate these ideas, the controller is first used to stabilize oscillations for the acrobot in a manner reminisc...
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作者：Raj, Phani; Pal, Debasattam
作者单位：Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
摘要：In this article, we prove multiple criteria for the stability of switched discrete-time linear singular (SDLS) systems. First, we show that if the Lie algebra generated by the flow matrices associated with an SDLS system, consisting of stable subsystems, is solvable, then the SDLS system is globally uniformly exponentially stable. Most results in the literature are based on commutativity and the Lie algebraic results of this note generalize the existing results. Furthermore, using the first re...
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作者：Wang, Fu-Cheng; Lee, Chung-Hsien
作者单位：National Taiwan University
摘要：This article proposes a novel control theorem called hybrid disturbance response decoupling (HDRD), which facilitates the independent and simultaneous modification of all transmission paths of a multivariable system. The control design for multivariable systems is challenging because feedback controllers can usually affect all the transmission paths concurrently. Improving the performance of some transmission paths might sacrifice the performance of others; therefore, the disturbance response ...
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作者：Lauer, Fabien
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine
摘要：This article deals with the scenario approach to robust optimization. This relies on a random sampling of the possibly infinite number of constraints induced by uncertainties in the parameters of an optimization problem. Solving the resulting random program yields a solution for which the quality is measured in terms of the probability of violating the constraints for a random value of the uncertainties, typically unseen before. Another central issue is the determination of the sample complexi...
