Showing papers on "Feedback linearization published in 1974"
TL;DR: For linear systems with quadratic performance indices, it is shown that the optimal output feedback gains can be computed using gradient techniques, unlike previous algorithms, this approach avoids the solution of nonlinear matrix equations while appearing to ensure convergence.
Abstract: For linear systems with quadratic performance indices, it is shown that the optimal output feedback gains can be computed using gradient techniques. Unlike previous algorithms, this approach avoids the solution of nonlinear matrix equations while appearing to ensure convergence. Computational results for a fourth-order system are presented.
63 citations
TL;DR: Using some results on the existence and uniqueness of solutions of nonlinear equations two sufficient conditions for the decoupling by output feedback are presented.
Abstract: For a class of nonlinear plants which can be decoupled by state variable feedback, the problem of decoupling by output feedback is considered. A necessary and sufficient condition for the existence of state variable feedback decoupling control law for a system composed of a nonlinear compensator in cascade with the plant is derived. The use of compensator allows decoupling by the feedback of the output and its time derivatives. Using some results on the existence and uniqueness of solutions of nonlinear equations two sufficient conditions for the decoupling by output feedback are presented.
10 citations
TL;DR: In this paper, sufficient conditions for the existence of periodic motions in a class of autonomous, time-invariant, non-linear feedback systems are presented, interpreted as circle type criteria, stated in terms of the frequency response and root locus diagrams for the system's linear part.
Abstract: Sufficient conditions are presented for the existence of periodic motions in a class of autonomous, time-invariant, non-linear feedback systems. The conditions can be interpreted as circle type criteria, stated in terms of the frequency response and root locus diagrams for the system's linear part, and in terms of the characteristics of the nonlinearity.
8 citations
5 citations
01 Nov 1974
TL;DR: In this paper, the existence of a one-to-one transformation to coordinates in which the system becomes bilinear is studied, and an explicit construction is given for such a transformation.
Abstract: Given a nonlinear analytic control system with an equilibrium point sufficient conditions are given for the existence of a one-to-one transformation to coordinates in which the system becomes bilinear, and an explicit construction is given
3 citations
01 Feb 1974
TL;DR: In this article, a quasi-geometric stability criterion for feedback systems with a linear time invariant forward block and a periodically time varying nonlinear gain in the feedback loop is developed.
Abstract: A quasi-geometric stability criterion for feedback systems with a linear time invariant forward block and a periodically time varying nonlinear gain in the feedback loop is developed.
2 citations
TL;DR: In this paper, the imbedding method of solving free-end, fixed-time optimal control problem is applied to a sixth-order nonlinear power system and both the open and closed-loop controllers are considered.
1 citations
01 Nov 1974
TL;DR: Frequency response methods are very useful in the design of linear, time-invariant systems with parameter uncertainty, such that the system response satisfies specified bounds as discussed by the authors, allowing the designer to make intelligent trade-offs between sensitivity, complexity of compensation and bandwidth.
Abstract: Frequency response methods are very useful in the design of linear, time-invariant systems with parameter uncertainty, such that the system response satisfies specified bounds. These methods are highly transparent permitting the designer to make intelligent trade-offs between sensitivity, complexity of compensation and bandwidth. Schauder's fixed point theorem permits these same techniques to be used in linear time-varying and nonlinear systems with significant parameter uncertainty. Frequency response methods have also provided precise synthesis techniques for oscillating adaptive systems and for using nonlinear compensation to reduce feedback loop bandwidths.