Phase Space in the Theory of Optimum Control†
- 1 May 1960
- journal article
- control section
- Published by Taylor & Francis in Journal of Electronics and Control
- Vol. 8 (5), 381-400
- https://doi.org/10.1080/00207216008937285
Abstract
Phase space is an essential concept in the theory of optimum non-linear control, but has been given only cursory exposition hitherto. This paper attempts to bridge the gap between the control engineer who uses phase space heuristically and the mathematician who adopts phase space as an arbitrary starting point. A history of the phase-space concept is given. It is shown how to define and measure the phase coordinates of linear and non-linear systems. A special treatment of electrical networks is given.Keywords
This publication has 8 references indexed in Scilit:
- The bang bang servo problem treated by variational techniquesInformation and Control, 1959
- III. Optimal Discontinuous Forcing TermsPublished by Walter de Gruyter GmbH ,1958
- Design and Analog-Computer Analysis of an Optimum Third-Order Nonlinear ServomechanismTransactions of the American Society of Mechanical Engineers, 1957
- On the “bang-bang” control problemQuarterly of Applied Mathematics, 1956
- A Phase-Plane Approach to the Compensation of Saturating ServomechanismsTransactions of the American Institute of Electrical Engineers, 1951
- Combined Thyratron and Tachnometer Speed Control of Small MotorsTransactions of the American Institute of Electrical Engineers, 1938
- Sur les courbes définies par des équations différentiellesActa Mathematica, 1901
- VII. Second essay on a general method in dynamicsPhilosophical Transactions of the Royal Society of London, 1835