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Phase-plane analysis of automatic control systems with nonlinear gain elements

1955; Institute of Electrical and Electronics Engineers; Volume: 73; Issue: 6 Linguagem: Inglês

10.1109/tai.1955.6367086

2379-6774

E. Rudolf Kalman,

Advanced Control Systems Design

This paper develops a unified method of transient analysis of second-order feedback control systems having nonlinear gain components and subjected to step or ramp inputs. Essentially, the technique is a decomposition of the phase plane into linear regions within which trajectories converge to corresponding critical points. Application of the method to several typical problems previously analyzed by other means shows that considerably more insight may be obtained.