Introduction to Optimal Control
Abstract
The application of optimal control theory to the practical design of multivariable
control systems started in the 1960s1: in 1957 R. Bellman applied dynamic
programming to the optimal control of discrete-time systems. His procedure
resulted in nonlinear feedback schemes. By 1958, L.S. Pontryagin has developed
the maximum principle relying on the calculus of variations developed by L.
Euler (1707-1783). He solved the minimum-time problem, deriving in 1962 an
on/o relay control law as an optimal control. In 1960 three major papers
were published by R. Kalman and coworkers, working in the U.S. One of these
publicized the vital work of Lyapunov (1857-1918) in the time-domain control of
nonlinear systems. The next discussed the optimal control of systems, providing
the design equations for the Linear Quadratic Regulator (LQR). The third paper
has provided the design equations for the discrete Kalman lter. The continuous
Kalman lter was developed by Kalman and Bucy in 1961.
Origin | Files produced by the author(s) |
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