Showing papers on "Feedback linearization published in 1968"
Book•
01 Jan 1968
TL;DR: In this article, a book on nonlinear systems analysis and design covering parameter mapping, symmetrical, transient and forced oscillations and stability analysis is presented. But the authors do not cover the analysis of nonlinear system dynamics.
Abstract: Book on nonlinear systems analysis and design covering parameter mapping, symmetrical, transient and forced oscillations and stability analysis
194 citations
TL;DR: It is shown that the main result in this paper can be specialized to yield many of the results obtained so far for nonlinear time-invariant systems and linear time-varying systems.
40 citations
TL;DR: Multiple loop linear time invariant feedback systems stability, discussing conditions, gain matrix and input-output properties were discussed in this paper, where the gain matrix was defined as a Gaussian distribution.
29 citations
15 citations
4 citations
01 Aug 1968
TL;DR: In this article, the authors present results on the synthesis of time-optimal control for a second-order nonlinear system, where the problem is to determine the feedback control as a function of the state variables.
Abstract: : The report presents results on the synthesis of time-optimal control for a second-order nonlinear system. The problem is to determine the feedback control as a function of the state variables. This is equivalent to finding the switching locus, since the time-optimal control is a relay control. The nonlinear system is represented by a soft spring characterized by the Duffing equation with negative nonlinear term.
3 citations
TL;DR: This paper considers the problem of generating sub-optimal controls for non-linear single input systems, with quadratic performance indexes, and generates a linear combination of the states with piecewise constant coefficients by a repeated linearization of the system.
Abstract: Suboptimal control generation for nonlinear single input systems by linear combination of states and repeated linearization of equations system
3 citations
TL;DR: In this paper, a forced nonlinear feedback system is studied and a condition on the bounds on the input and linear plant zero-input response is given which guarantees that the error is bounded by a known quantity.
Abstract: A forced nonlinear feedback system is studied. A condition on the bounds on the input and linear plant zero-input response is given which guarantees that the error is bounded by a known quantity. The condition uses a frequency-domain inequality.
2 citations
TL;DR: A nonlinear filtering scheme with noiseless feedback is presented, based on a consideration of the minimum-mean-squared error filtering of independent signal samples corrupted by additive noise, and the improvement over the linear case without feedback is shown.
Abstract: A nonlinear filtering scheme with noiseless feedback is presented, based on a consideration of the minimum-mean-squared error filtering of independent signal samples corrupted by additive noise. The explicit solution for the general case is very complex. However, if the signal-to-noise ratio is assumed to be large and the nonlinear estimating filter has zero memory, the problem may be simplified by reducing it to the zero-memory prefiltering problem combined with predictive feedback. The improvement over the linear case without feedback is shown to be the product of the improvements due to the zero-memory non-linearities and the feedback. An example is considered to illustrate the improvements in the error,
1 citations