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检索条件"任意字段=Conference on Complexity and Nonlinear Dynamics"

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Set-valued State Estimation for nonlinear Systems Using Hybrid Zonotopes 62

Set-valued State Estimation for Nonlinear Systems Using Hybr...

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62nd IEEE conference on Decision and Control (CDC)

作者： Siefert, Jacob A. Thompson, Andrew F. Glunt, Jonah J. Pangborn, Herschel C. Penn State Univ Dept Mech Engn University Pk PA 16802 USA

ISBN: (纸本)9798350301243

This paper proposes a method for set-valued state estimation of nonlinear, discrete-time systems. This is achieved by combining graphs of functions representing system dynamics and measurements with the hybrid zonotope set representation that can efficiently represent nonconvex and disjoint sets. Tight over-approximations of complex nonlinear functions are efficiently produced by leveraging special ordered sets and neural networks, which enable computation of set-valued state estimates that grow linearly in memory complexity with time. A numerical example demonstrates significant reduction of conservatism in the set-valued state estimates using the proposed method as compared to an idealized convex approach.

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Transportation-Inequalities, Lyapunov Stability and Sampling for Dynamical Systems on Continuous State Space 5

Transportation-Inequalities, Lyapunov Stability and Sampling...

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5th Annual conference on Learning for dynamics and Control

作者： Naeem, Muhammad Abdullah Pajic, Miroslav Duke Univ Dept Elect & Comp Engn Durham NC 27708 USA

We study the concentration phenomenon for discrete-time random dynamical systems with an unbounded state space. We develop a heuristic approach towards obtaining exponential concentration inequalities for dynamical systems using an entirely functional analytic framework. We also show that existence of exponential-type Lyapunov function, compared to the purely deterministic setting, not only implies stability but also exponential concentration inequalities for sampling from the stationary distribution, via transport-entropy inequality (T-E). These results have significant impact in reinforcement learning (RL) and controls, leading to exponential concentration inequalities even for unbounded observables (i.e., rewards), while neither assuming reversibility nor exact knowledge of the considered random dynamical system (assumptions at heart of concentration inequalities in statistical mechanics and Markov diffusion processes).

关键词： Transportaion inequalities Exponential Lyapunov function Sample complexity and nonlinear random dynamical systems

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Analyzing Electrocardiogram Signal complexity with Weighted Entropy 2nd

Analyzing Electrocardiogram Signal Complexity with Weighted...

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2nd International conference on nonlinear dynamics and Applications, ICNDA 2024

作者： Sruthi, S.L. Jacob, Rinku Rajagiri School of Engineering and Technology Kerala Kakkanad India APJ Abdul Kalam Technological University Kerala Thiruvananthapuram India Department of Basic Sciences and Humanities Rajagiri School of Engineering and Technology Kerala Kakkanad India

ISBN: (纸本)9783031691454

In the present study, the complexity of ECG signals in normal individuals and those with cardiac disorders is analyzed. This analysis is conducted by utilizing a weighted entropy measure computed from the probability distribution of shortest path lengths in the Recurrence network (RN) domain. The results demonstrate distinct statistical complexity between normal and cardiac disorder ECG signals, with higher average weighted entropy in the latter, signifying increased complexity. Weighted entropy shows significant variability within the same category of ECG signals, attributed to individual variations. Furthermore, ECG signals with additional cardiac abnormalities are analyzed, and our analysis revealed that high complexity is observed in those signals. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

关键词： Electrocardiograms

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Strengthened stability analysis of discrete-time Lurie systems involving ReLU neural networks 6

Strengthened stability analysis of discrete-time Lurie syste...

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6th Annual Learning for dynamics and Control conference

作者： Richardson, Carl R. Turner, Matthew C. Gunn, Steve R. Drummond, Ross Univ Southampton Dept Elect & Comp Sci Southampton SO17 1BJ Hants England Univ Sheffield Dept Automat Control & Syst Engn Sheffield S1 3JD S Yorkshire England

This paper addresses the stability analysis of a discrete-time (DT) Lurie system featuring a static repeated ReLU nonlinearity. Such systems often arise in the analysis of recurrent neural networks and other neural feedback loops. Custom quadratic constraints, satisfied by the repeated ReLU, are employed to strengthen the standard DT Circle and DT Popov Criteria for this specific Lurie system. The criteria can be expressed as a set of linear matrix inequalities (LMIs) with less restrictive conditions on the matrix variables. It is further shown that if the Lurie system under consideration has a unique equilibrium point at the origin, then this equilibrium point is in fact globally stable or unstable, meaning that local stability analysis will provide no additional benefit. Numerical examples demonstrate that the strengthened criteria achieve a desirable balance between reduced conservatism and complexity when compared to existing criteria.

关键词： Lyapunov methods neural networks semi-definite programming stability of nonlinear systems

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A Deep Reinforcement Learning-based Sliding Mode Control Design for Partially-known nonlinear Systems

A Deep Reinforcement Learning-based Sliding Mode Control Des...

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European Control conference (ECC)

作者： Mosharafian, Sahand Afzali, Shirin Bao, Yajie Velni, Javad Mohammadpour Univ Georgia Sch Elect & Comp Engn Athens GA 30602 USA

ISBN: (数字)9783907144077

ISBN: (纸本)9783907144077

Presence of model uncertainties creates challenges for model-based control design, and complexity of the control design is further exacerbated when coping with nonlinear systems. This paper presents a sliding mode control (SMC) design approach for nonlinear systems with partially known dynamics by blending data-driven and model-based approaches. First, an SMC is designed for the available (nominal) model of the nonlinear system. The closed-loop state trajectory of the available model is used to build the desired trajectory for the partially known nonlinear system states. Next, a deep policy gradient method is used to cope with unknown parts of the system dynamics and adjust the sliding mode control output to achieve a desired state trajectory. The performance (and viability) of the proposed design approach is finally examined through numerical examples.

关键词： Gradient methods Uncertainty Control design System dynamics Europe Trajectory Numerical models

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A Transient Voltage Security Analysis Method Considering the dynamics of Renewable Energy Stations and Impact Loads 8

A Transient Voltage Security Analysis Method Considering the...

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8th International conference on Power Energy Systems and Applications, ICoPESA 2024

作者： Cui, Yilin He, Shaoyang Yu, Xiaofeng Liang, Weikun Lin, Shunjiang Xiao, Yuhang Xie, Xuquan Heyuan Power Supply Bureau Guangdong Power Grid Co. Ltd. Heyuan China School of Electric Power Engineering South China University of Technology Guangzhou China

ISBN: (纸本)9798350351668

A transient voltage security analysis (TVSA) method considering the dynamics of renewable energy stations and impact loads in power system is proposed. Base on the physical mechanism analysis of the third-order electromechanical transient model of induction motors, a data-driven method for identifying time-varying parameters is proposed and an accurate impact dynamic model is established to describe the startup process of impact loads. Considering the dynamic modeling of impact loads, renewable energy stations, synchronous generators and conventional loads, differential algebraic equations (DAEs) for TVSA of power systems are established. An improved implicit trapezoidal integration method is proposed to transform DAEs into nonlinear algebraic equations, and a polynomial interpolation function curve correction method is proposed to solve the nonlinear equations efficiently, which is not required to calculate Jacobian matrices. It has low computational complexity and fast convergence speed. Case study on a modified IEEE 39-bus system demonstrate that the proposed method can efficiently obtain the time-domain simulation results of DAEs for the TVSA of power systems and has high computational accuracy. © 2024 IEEE.

关键词： Electromagnetic transients

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Proceedings of the 5th Annual Learning for dynamics and Control conference, L4DC 2023

Proceedings of the 5th Annual Learning for Dynamics and Cont...

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5th Annual conference on Learning for dynamics and Control, L4DC 2023

The proceedings contain 114 papers. The topics discussed include: interval reachability of nonlinear dynamical systems with neural network controllers;physics-informed model-based reinforcement learning;learning-to-learn to guide random search: derivative-free meta Blackbox optimization on manifold;guaranteed conformance of neurosymbolic models to natural constraints;guaranteed conformance of neurosymbolic models to natural constraints;safe and efficient reinforcement learning using disturbance-observer-based control barrier functions;learning the dynamics of autonomous nonlinear delay systems;improving gradient computation for differentiable physics simulation with contacts;policy gradient play with networked agents in Markov potential games;sample complexity bound for evaluating the robust observer’s performance under coprime factors uncertainty;and end-to-end learning to warm-start for real-time quadratic optimization.

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Innovative Characterization of Alternans Onset and Development in Dual Voltage-Calcium Whole-Heart Optical Mapping Signals at Multiple Thermal States

Innovative Characterization of Alternans Onset and Developme...

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45th Annual International conference of the IEEE-Engineering-in-Medicine-and-Biology-Society (EMBC)

作者： Crispino, Anna Loppini, Alessandro Chionuma, Henry Uzelac, Ilija Filippi, Simonetta Fenton, Flavio H. Gizzi, Alessio Univ Campus Biomed Roma Engn Dept Unit Nonlinear Phys & Math Modeling Rome Italy Georgia Inst Technol Sch Phys Atlanta GA USA

ISBN: (纸本)9798350324471

Cardiac electrical dynamics show complex space-time instabilities, like period-doubling bifurcation and beat-to-beat alternans, known to occur as pro-arrhythmic phenomena and linked to membrane voltage and intracellular calcium kinetics. Besides, cellular ionic dynamics are critically affected by temperature oscillations, further enhancing the complexity of such arrhythmias precursors that lead to irregular cardiac contraction. In this complex scenario, fluorescence dual optical mapping techniques allow the unveiling of nonlinear and multi-scale couplings. In this contribution, we propose a novel methodological analysis of synchronous dual voltage-calcium traces obtained from whole rabbit hearts for (i) detecting alternans onset and evolution, (ii) characterizing novel restitution curves, and (iii) defining spatio-temporal alternans patterns at four thermal states. We validate our approach against well-accepted analyses considering complete pacing-down restitution protocols. The proposed methodology computes integral features, e.g., area under the curve, suggesting that a novel, easy-to-use indicator, may advance predictability on alternans onset and evolution, further providing insights into spatio-temporal cardiac analyses.

关键词： Calcium

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nonlinear STATIC MODELING OF A LARGE RANGE XY-NANOPOSITIONING SYSTEM

NONLINEAR STATIC MODELING OF A LARGE RANGE XY-NANOPOSITIONIN...

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ASME 2024 International Design Engineering Technical conferences and Computers and Information in Engineering conference, IDETC-CIE 2024

作者： Moeenfard, Hamid Rath, Siddharth Awtar, Shorya Ferdowsi University of Mashhad Khorasan Razavi Mashhad Iran University of Michigan Ann ArborMI United States

ISBN: (纸本)9780791888414

High-precision and high-speed requirements in flexure-based positioning systems require stringent dynamic performance. In the presence of geometric non-linearities, which are relevant in large stroke flexure mechanisms, a standard approach is to linearize the system dynamics about an operating point and then design suitable controllers. Therefore, the first step in this subsequent dynamic analysis, is to have static equilibrium conditions of the flexure mechanism that can serve as the operating point. With this motivation, the objective of this paper is to propose a nonlinear static model for a specific XY flexure mechanism capable of decoupled motion along two orthogonal axes. This XY flexure mechanism is of practical use in high-precision high-speed positioning systems. Initially, the generalized coordinates of the flexure mechanism are chosen from the various displacement coordinates of the system. The strain energy and generalized forces of the flexure depend not only on the generalized coordinates but also on other displacement coordinates. This complicates the application of the principle of virtual work. To address this complexity, we utilize the fact that other displacement components of the system implicitly depend on the generalized coordinates due to nonlinear constraints arising from the geometric nonlinearities associated with beam arc-length conservation. By considering this implicit dependence when applying derivatives in the principle of virtual work, we can derive the nonlinear equilibrium equations governing the static behavior of the flexure mechanism. This approach for arriving at a static model for the XY flexure is then generalized into a step-by-step procedure, capable of deriving the governing nonlinear static equations of a diverse class of flexure mechanisms. A physical understanding of the system is then employed to solve these equations to obtain the operating point for uniaxial loading. Resulting expressions are then used in a subsequent

关键词： nonlinear equations

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FE-ANALYTICAL CONTACT MODELING FOR THE 3D SIMULATION OF BEVEL GEAR dynamics

FE-ANALYTICAL CONTACT MODELING FOR THE 3D SIMULATION OF BEVE...

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ASME 2024 International Design Engineering Technical conferences and Computers and Information in Engineering conference, IDETC-CIE 2024

作者： Vivet, Mathijs Siemens Digital Industries Software Leuven Belgium KU Leuven Department of Mechanical Engineering Leuven Belgium

ISBN: (纸本)9780791888445

The numerical prediction of spiral bevel gear contact dynamics is often hampered by the complexity of the gear tooth geometry and the three-dimensional (3D) nature of the motion transfer, which forms a major challenge for efficient contact detection and accurate contact force calculation. This works proposes a novel spiral bevel gear contact force element that enables the accurate prediction of 3D bevel gear contact force distributions in flexible multibody system dynamics simulations (MBDS). An efficient contact detection strategy, based on the surface of action, is used, while the accurate contact force calculation is obtained by inclusion of a new semi-analytical bevel gear contact stiffness model. This stiffness model relies on model order reduction (MOR) of finite element method (FEM)-based models to describe the bevel gear tooth and blank deformation, and analytical modeling to predict the tooth contact deformation. The solution can be used to model and analyze lightweight bevel gear dynamics. The method is validated against high-fidelity nonlinear finite element analysis-based contact simulations to evaluate the predicted transmission error, contact pattern, and contact pressure distribution. Finally, a use case is presented to demonstrate how the methodology enables detailed insights in spiral bevel gearbox dynamics, and noise and vibration (NVH) performance. Copyright © 2024 by ASME.

关键词： Bevel gears

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