The Design of Optimal Third-Order Bang-Bang Systems Using Delayed Switching
- 1 August 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Industrial Electronics and Control Instrumentation
- Vol. IECI-17 (5) , 374-383
- https://doi.org/10.1109/TIECI.1970.230164
Abstract
The time optimal performance of bang-bang control systems can be achieved by properly timing the relay operations, two switchings being required for the optimal response of third-order systems. The movement of the state point is observed in the two-dimensional projections of the phase space. If the first switching is delayed after the state point has crossed the optimum curves in both planes, the second switching occurs at the optimum switching boundary. The coordinate axis and the optimum boundary divide the phase space into sections described by logic variables, from which the controller has been developed. A function generator determines the projections of the optimum switching curve, and a delay circuit is designed to delay the first switching operation.Keywords
This publication has 8 references indexed in Scilit:
- Performance Evaluation of Fuzzy Switching Position Controller for Automation and Process Industry ControlIEEE Transactions on Industry Applications, 2011
- Adaptive optimally switched control system using digital techniquesElectronics Letters, 1965
- On the Optimum Switching Function of a Certain Class of Third-order Contactor Servomechanism. I†Journal of Electronics and Control, 1964
- Time optimum switching of on-off control systems using a linear network in the forward pathProceedings of the Institution of Electrical Engineers, 1963
- A linear switching condition for third-order positive-negative feedback control systemsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1961
- A phase-space method for the synthesis of nonlinear servomechanismsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1956
- Optimum switching criteria for higher order contactor servo with interrupted circuitsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1955
- An investigation of the switching criteria for higher order contactor servomechanismsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1954