2024

最新文章

• Exponential Decay Rate of Linear Port-Hamiltonian Systems: A Multiplier Approach AI翻译
  作者：Mora, Luis A.; Morris, Kirsten
  作者单位：University of Waterloo
  摘要：In this work, the multiplier method is extended to obtain a general lower bound on the exponential decay rate for port-Hamiltonian systems in one space dimension with boundary dissipation. The physical parameters of the system may be spatially varying. It is shown that, under assumptions of boundary or internal dissipation, the system is exponentially stable. This is established through a Lyapunov function defined through a general multiplier function. Furthermore, an explicit bound on the dec...
• Sensor Fault Detection and Diagnosis of Linear Parabolic PDE Systems With Unknown Inputs AI翻译
  作者：Cao, Fangfei; Jia, Fanlin; He, Xiao
  作者单位：Beijing Institute of Technology; Tsinghua University
  摘要：This article investigates the sensor bias fault detection and diagnosis problem for linear parabolic partial differential equation (PDE) systems under the existence of unknown input signals. A variation of Wirtinger's inequality is used to design a Luenberger-type PDE observer and radial basis function (RBF) neural networks are applied to approximate the unknown inputs, guaranteeing the boundedness of the state estimation error. Taking the measurement error as the fault indication signal, a re...
• Stability of Delayed Homogeneous Positive Differential-Difference Systems AI翻译
  作者：Xiao, Qiang; Zeng, Zhigang; Huang, Tingwen; Lewis, Frank L.
  作者单位：Huazhong University of Science & Technology; Qatar Foundation (QF); Texas A&M University Qatar
  摘要：Stability theory of linear differential-difference system has been well-established, while fewer results can be found for nonlinear differential-difference systems. In this article, stability and boundedness of homogeneous differential-difference system with bounded delay is studied based on the system positivity. At first, an exponential stability criterion is obtained, which is an extension of an existing result. Next, another boundary is computed under the previous condition, which proves t...
• Uniform Nonconvex Optimization via Extremum Seeking AI翻译
  作者：Mimmo, N.; Marconi, L.; Notarstefano, G.
  作者单位：University of Bologna
  摘要：The article deals with a well-known extremum seeking scheme by proving uniformity properties with respect to the amplitudes of the dither signal and of the cost function. Those properties are then used to show that the scheme guarantees the global minimizer to be semiglobal practically stable despite the presence of local minima. Under the assumption of a globally Lipschitz cost function, it is shown that the scheme, improved through a high-pass filter, makes the global minimizer practically s...
• Asynchronous Stabilization of Discrete-Time Switched Linear Systems Under Dwell-Time Constraints AI翻译
  作者：Shang, Xinxin; Zhuang, Songlin; Shi, Yang
  作者单位：University of Victoria; Yongjiang Laboratory
  摘要：This article investigates the asynchronous stabilization problem for a class of discrete-time switched linear systems under dwell-time constraints. A novel conception called basic pattern is proposed which can precisely characterize all the admissible sequences of switched systems under asynchronous switching. Compared to existing methods which are devoted to constructing different Lyapunov functions for achieving less conservative stability conditions, here we report a convex stability criter...
• Data-Driven Dissipativity Analysis of Linear Parameter-Varying Systems AI翻译
  作者：Verhoek, Chris; Berberich, Julian; Haesaert, Sofie; Allgoewer, Frank; Toth, Roland
  作者单位：Eindhoven University of Technology; University of Stuttgart; HUN-REN; HUN-REN Institute for Computer Science & Control
  摘要：this article, we derive direct data-driven dissipativity analysis methods for linear parameter-varying (LPV) systems using a single sequence of input- scheduling-output data. By means of constructing a semidefinite program subject to linear matrix inequality constraints based on this data-dictionary, direct data- driven verification of ( Q, S, R )-type of dissipativity properties of the data-generating LPV system is achieved. Multiple implementation methods are proposed to achieve efficient co...
• Adaptive Pseudoinverse Observers for Output Redundant Discrete-Time Linear Systems AI翻译
  作者：Cristofaro, Andrea; Zaccarian, Luca
  作者单位：Sapienza University Rome; Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS); University of Trento
  摘要：We address the problem of output redundancy in discrete-time linear systems, with the aim of obtaining an optimized combination of sensors for structurally rejecting certain disturbances.We frame our goal as the design problem of a nonlinear observer consisting in a linear Luenberger structure augmented with an adaptive weighted pseudoinverse combination of the available measurements. A novel optimization algorithm is proposed for the update of the dynamic weights of the pseudoinverse, togethe...
• Control Barrier Functions for Stochastic Systems and Safety-Critical Control Designs AI翻译
  作者：Nishimura, Yuki; Hoshino, Kenta
  作者单位：Kagoshima University; Kyoto University
  摘要：In recent years, the analysis of a control barrier function has received considerable attention because it is helpful for the safety-critical control required in many control application problems. While the extension of the analysis to a stochastic system studied by many researchers, it remains a challenging issue. In this article, we consider sufficient conditions for reciprocal and zeroing control barrier functions ensuring safety with probability one and design a control law using the funct...
• Backstepping-Forwarding Designs for Doubly- Distributed Delay-PDE-ODE Systems AI翻译
  作者：Xu, Xiang; Liu, Lu; Krstic, Miroslav; Feng, Gang
  作者单位：Southern University of Science & Technology; Southern University of Science & Technology; City University of Hong Kong; University of California System; University of California San Diego
  摘要：A cascade connection comprising a delay, a partial differential equation (PDE), and an ordinary differential equation (ODE) is referred to as distributed if an integral operator of the functional state of the delay or the PDE enters, as a scalar, the next system in the cascade, or if the ODE state acts as an input to the PDE throughout the PDE's domain. While boundary control of systems involving PDEs or delays typically calls for the PDE backstepping approach, such distributed interconnection...
• L∞ Duality Results in Optimal Control Problems AI翻译
  作者：Goreac, Dan; Rapaport, Alain
  作者单位：Shandong University; Laval University; Centre National de la Recherche Scientifique (CNRS); Universite Paris-Est-Creteil-Val-de-Marne (UPEC); INRAE; Universite de Montpellier
  摘要：We consider optimal control problems which consist in minimizing the L-infinity norm of an output function under an isoperimetric or L-1 inequality. These problems typically arise in control applications when one looks to minimizing the maximum trajectory deviation or peak under a budget constraint. We show a duality with more classical problems which amount to minimizing the L-1 cost under the state constraint given by an upper bound on the L-infinity norm of the output. More precisely, we pr...