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Control of General Dynamic Systems With Periodically Varying Parameters Via Liapunov-Floquet Transformation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new technique in the design of controllers for linear dynamic systems with periodically varying coefficients is presented. The idea is to utilize the well-known Liapunov-Floquet (L-F) transformation ...
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 ...
Observer Design for Nonlinear Systems With Time-Periodic Coefficients via Normal Form Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: For most complex dynamic systems, it is not always possible to measure all system states by a direct measurement technique. Thus for dynamic characterization and controller design purposes, it ...
Development of a Feedback Linearization Technique for Parametrically Excited Nonlinear Systems via Normal Forms
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The problem of designing controllers for nonlinear time periodic systems via feedback linearization is addressed. The idea is to find proper coordinate transformations and state feedback under ...
Optimal Design of Base‐Isolated Structures with Dynamic Absorbers
Publisher: American Society of Civil Engineers
Abstract: In this study, a passive control system has been proposed to protect structures from earthquake damages. In particular, the influence of an absorber on the dynamics of base‐isolated structures has been investigated in ...
Application of a Weighted Mean Square Method of Linearization to Oscillations Governed by Lienard’s Equations
Publisher: The American Society of Mechanical Engineers (ASME)
A Feedback Linearization Approach for Panel Flutter Suppression With Piezoelectric Actuation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Panel flutter suppression by exact state transformations and feedback control using piezoelectric actuation is presented. A nonlinear control system is designed for a simply supported rectangular ...
Canonical Perturbation of a Fast Time-Periodic Hamiltonian via Liapunov-Floquet Transformation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this study a possible application of time-dependent canonical perturbation theory to a fast nonlinear time-periodic Hamiltonian with strong internal excitation is considered. It is shown that ...
Approximate Eigenvalues for Systems With Variable Parameters
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper deals with an approximate analytical technique for solving the boundary-value problems governed by second-order differential equations with variable coefficients. The variable coefficient ...
Liapunov-Floquet Transformation: Computation and Applications to Periodic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a new analysis technique in the study of dynamical systems with periodically varying parameters is presented. The method is based on the fact that all linear periodic systems ...