Showing papers on "Feedback linearization published in 1971"
TL;DR: In this article, an approach for determining approximate instantaneous correlation function matrices of the response of a nonlinear structure to nonwhite excitation is presented, based on the concept of statistical linearization and is not subject to many of the restrictions placed on other methods.
Abstract: An approach for determining approximate instantaneous correlation function matrices of the response of a nonlinear structure to nonwhite excitation is presented. The approach is based on the concept of statistical linearization and is not subject to many of the restrictions placed on other methods. In addition, the approximating procedure is capable of a natural physical interpretation. An example of the application of the approximate approach to a softening structure is given.
17 citations
TL;DR: Encirclement of the critical disk implies instability of a feedback system described by input-output relations just as in the case of systems with a finite-dimensional state representation.
Abstract: Encirclement of the critical disk implies instability of a feedback system described by input-output relations just as in the case of systems with a finite-dimensional state representation.
5 citations
TL;DR: In this paper, a grapho-analytical method for the determination of self-sustained oscillations in a nonlinear system having two nonlinear memoryless energyless elements, separated by a linear device is proposed.
Abstract: A grapho-analytical method for the determination of self-sustained oscillations in a nonlinear system having two nonlinear memoryless energyless elements, separated by a linear device is proposed. The method relies on the graphical solution of the system equations, derived by harmonic linearization of the nonlinear functions that describe the two nonlinear elements.
4 citations
2 citations
TL;DR: The implementation of optimal control theory concerns the general multidimensional nonlinear system for which usually only an optimal open-loop or programmed control can be obtained.
Abstract: * Present address: Department of Chemical and Nuclear Engineering University of Cincinnati Cincinnati, Ohio 45221 implementation of optimal control theory concerns the general multidimensional nonlinear system for which usually only an optimal open-loop or programmed control can be obtained. Such a control is truly optimal only if the system follows the precalculated optimal trajectory. In a real situation, the system will usually not follow such a trajectory because (a) a mathematical-model approximation never perfectly represents the real-world process and (b) unexpected disturbances entering the loop initiate upsets. For these reasons it is desirable to have a closed-loop control algorithm that is a function of the actual state of the system.
1 citations