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作者：Bu, Jingjing; Mesbahi, Afshin; Mesbahi, Mehran
作者单位：University of Washington; University of Washington Seattle
摘要：This article presents a fairly complete account on various topological and metrical aspects of feedback stabilization for single-input single-output (SISO) continuous and discrete time linear time-invariant (LTI) systems. In particular, we prove that the set of stabilizing output feedback gains for a SISO system with n states have at most inverted right perpendicularn 2inverted left perpendicular connected components. Furthermore, our analysis yields an algorithm for determining intervals of s...
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作者：Borja, Pablo; Ortega, Romeo; Scherpen, Jacquelien M. A.
作者单位：University of Groningen; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Universite Paris Saclay; ITMO University
摘要：In this article, we present some new results for the design of PID passivity-based controllers (PBCs) for the regulation of port-Hamiltonian (pH) systems. The main contributions of this article are: (i) new algebraic conditions for the explicit solution of the partial differential equation required in this design; (ii) revealing the deleterious impact of the dissipation obstacle that limits the application of the standard PID-PBC to systems without pervasive dissipation; (iii) the proposal of ...
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作者：Zhao, Dong; Ahn, Choon Ki; Paszke, Wojciech; Fu, Fangzhou; Li, Yueyang
作者单位：University of Cyprus; Korea University; University of Zielona Gora; Sun Yat Sen University; University of Jinan
摘要：In this article, a systematic fault diagnosability evaluation, including fault detectability and isolability, is established in a quantitative manner for two-dimensional systems. With ingenious data formulation, a parity relation of two-dimensional systems is first established, then the Kullback-Leibler divergence is employed as the key measure for the diagnosability analysis based on the established parity relation. The basic idea is to quantify the distribution differences among each fault s...
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作者：Ma, Ziyue; Zhu, Guanghui; Li, Zhiwu
作者单位：Xidian University; Macau University of Science & Technology
摘要：In this article, we propose a two-layer-structure called hierarchical basis reachability graph that is useful for marking estimation in Petri nets that contain unobservable transitions. On the basis of a hierarchical partition of the set of observable transitions, a hierarchical basis reachability graph consists of a primary and a secondary structures. Simulation shows that the time-consumption to compute a hierarchical basis reachability graph is in general much less than that of computing th...
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作者：Wu, Yongxin; Hamroun, Boussad; Le Gorrec, Yann; Maschke, Bernhard
作者单位：Universite Marie et Louis Pasteur; Universite Marie et Louis Pasteur; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS); Universite Claude Bernard Lyon 1
摘要：This article proposes a method that combines linear quadratic Gaussian (LQG) control design and structure preserving model reduction for the reduced order control of infinite dimensional port Hamiltonian systems (IDPHS).For that purpose the weighting operators used in LQG control design are chosen such that the resulting dynamic controller is passive and the closed-loop system equivalent to control by interconnection. The method of Petrov-Galerkin is then used to approximate the balanced reali...
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作者：Granzotto, Mathieu; Postoyan, Romain; Busoniu, Lucian; Nesic, Dragan; Daafouz, Jamal
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine; Technical University of Cluj Napoca; University of Melbourne
摘要：Motivated by (approximate) dynamic programming and model predictive control problems, we analyse the stability of deterministic nonlinear discrete-time systems whose inputs minimize a discounted finite-horizon cost. We assume that the system satisfies stabilizability and detectability properties with respect to the stage cost. Then, a Lyapunov function for the closed-loop system is constructed and a uniform semiglobal stability property is ensured, where the adjustable parameters are both the ...
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作者：Xu, Feng; Yang, Songlin; Wang, Xueqian
作者单位：Tsinghua University; Tsinghua Shenzhen International Graduate School
摘要：This article proposes a novel robust state estimation method for discrete linear time-invariant systems by using the positive system theory and the set theory to overcome the disadvantages of interval observers and set-valued observers to finally achieve an expected balance between computational complexity and robust state estimation conservatism. The proposed method first transforms the system into an equivalent system with its system matrix in the canonical companion form. Then, based on thi...
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作者：Athalye, Chirayu D.; Pal, Debasattam; Pillai, Harish K.
作者单位：Indian Institute of Science (IISC) - Bangalore; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
摘要：In this article, we examine a particular family of infinite-dimensional discrete autonomous systems given by a first-order state-space equation; the state transition matrix for this family is a Laurent polynomial matrix A(sigma, sigma(-1)), where s is the shift operator on R-n-valued sequences. We term this family of systems as Laurent systems. We give necessary and sufficient conditions for the exponential l(2)-stability and the exponential l(infinity)-stability of Laurent systems. We also co...
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作者：Hauswirth, Adrian; Bolognani, Saverio; Hug, Gabriela; Dorfler, Florian
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：Autonomous optimization refers to the design of feedback controllers that steer a physical system to a steady state that solves a predefined, possibly constrained, optimization problem. As such, no exogenous control inputs such as set points or trajectories are required. Instead, these controllers are modeled after optimization algorithms that take the form of dynamical systems. The interconnection of this type of optimization dynamics with a physical system is however not guaranteed to be sta...
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作者：Joseph, Geethu; Murthy, Chandra R.
作者单位：Indian Institute of Science (IISC) - Bangalore; Syracuse University
摘要：In this article, we consider the controllability of a discrete-time linear dynamical system with sparse control inputs. Sparsity constraints on the input arises naturally in networked systems, where activating each input variable adds to the cost of control. We derive algebraic necessary and sufficient conditions for ensuring controllability of a system with an arbitrary transfer matrix. The derived conditions can be verified in polynomial time complexity, unlike the more traditional Kalman-ty...
