Showing papers on "Feedback linearization published in 1976"

Estimating the domain of attraction for nonlinear feedback systems

Abstract: An iterative procedure is developed for estimating the domain of attraction of a class of nonlinear systems. The procedure uses an approximation of the system by a Carleman linearization and is suitable for automatic computations. The algorithm is applied to the transient stability problem in electrical power systems and a favorable comparison with previous criteria is obtained.

A feedback near-optimum control for nonlinear systems

Abstract: A near-optimum feedback controller based on the sensitivity of state and control functions with respect to a coupling parameter is introduced for nonlinear systems. The method makes use of Pontryagin's maximum principle and the Riccati formulation of the linear regulator problem. A numerical example with previously known results is solved using the method.

Some input-output properties of nonlinear multivariable feedback systems

Abstract: This short paper presents a number of results which characterize the input-output response of a class of nonlinear multivariable systems. A rather general class of nonlinear multivariable systems is considered and a variety of input functions is allowed. Particular conditions are developed which guarantee that the error between the input function and the output response 1) is bounded, 2) tends to a constant value, and 3) tends to zero. The results are of special interest since they can be interpreted as defining a limited form of "superposition principle" for the nonlinear systems considered.

On-Line Computer Control of Complex Nonlinear Systems

Abstract: A design method which extends linear design techniques to nonlinear control systems design using an on-line digital computer is described. A linearization technique and a control design technique suitable for implementation on-line are described. The method is illustrated on a 10th order 2 input 2 output system. The method allows use of well-known classical design techniques such as series compensation while gaining the advantages of state variable feedback.

An internal solution to the problem of linearization of a convexity space

Abstract: Following Kay and Womble [2] an abstract convexity structure on a set X is a collection ξ of subsets of X which includes the empty set, X and is closed under arbitrary intersections. One of the natural problems that arises in convexity structures is to give necessary and sufficient conditions for the existance of a linear structure on X such that the collection of all convex sets in the resulting linear space is precisely ξ. An associated problem is to consider a set with a convexity structure and a topology and find necessary and sufficient conditions for the existance of a linear structure on X such that X becomes a linear topological space with again ξ the collection of convex sets.

Obtainability of closed-loop systems using constant state feedback or output feedback

Abstract: For a given linear multivariable system (A, B, C) not necessarily completely controllable or observable, necessary and sufficient, geometric conditions for a desired closed-loop system (Ac, B, C) to be obtainable using constant complete state feedback or constant output feedback are proposed. A solution for the feedback controller necessary to give an ‘obtainable’ closed-loop system is also presented.