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RISComparison of Poincaré Normal Forms and Floquet Theory for Analysis of Linear Time Periodic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, the authors draw comparisons between the Floquet theory and Normal Forms technique and apply them towards the investigation of stability bounds for linear time periodic systems. Though the Normal Forms technique ...
New Compound Fractional Sliding Mode Control and SuperTwisting Control of a MEMS Gyroscope
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This research proposes a new compound fractional sliding mode control (FOSMC) and supertwisting control (FOSMC + STC) to control a microelectromechanical systems gyroscope. A new sliding mode surface has been defined to ...
A Novel Real-Time Data-Driven Fractional-Order Proportional–Integral–Derivative Control of a Worm Robot Using Koopman Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Conventional control approaches for inchworm robots often exhibit limitations in achieving high-precision trajectory tracking and robust adaptability due to dynamic and uncertain interaction conditions inherent to their ...
A Direct Approach to Order Reduction of Nonlinear Systems Subjected to External Periodic Excitations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, the basic problem of order reduction of nonlinear systems subjected to an external periodic excitation is considered. This problem deserves special attention because modes that ...
Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, multiple order reduction techniques for parametrically excited nonlinear quasi-periodic systems are presented. The linear time-varying part of the quasi-periodic system is transformed into a linear time-invariant ...
Stability and Robustness Analysis of Quasi-Periodic System Subjected to Uncertain Parametric Excitations and Nonlinear Perturbations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, the asymptotic stability bounds are identified for a class of linear quasi-periodic dynamical systems with stochastic parametric excitations and nonlinear perturbations. The application of a Lyapunov–Perron ...
PBVI for Optimal Photoplethysmography Noise Filter Selection Using Human Activity Recognition Observations for Improved Heart Rate Estimation on Multi-Sensor Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This work details the partially observable markov decision process (POMDP) and the point-based value iteration (PBVI) algorithms for use in multisensor systems, specifically, a sensor system capable of heart rate (HR) ...
Reducibility and Analysis of Linear Quasi-Periodic Systems Via Normal Forms
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This article introduces a technique to accomplish reducibility of linear quasi-periodic systems into constant-coefficient linear systems. This is consistent with congruous proofs common in literature. Our methodology is ...
Thermohydrodynamic Performance Evaluation of Recharging, Interrupted and Simple Microchannels: A Comparative Study
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this study, a three-dimensional numerical investigation on the thermohydrodynamic performance of a recently proposed recharging microchannel (RMC) is carried out. In this design, a straight microchannel is split into ...
Application of Floquet Theory to Human Gait Kinematics and Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, the lower extremity physiological parameters are recorded during normal walking gait, and the dynamical systems theory is applied to determine a stability analysis. The human walking gait pattern of kinematic ...