Abstract
We develop a unified approach for the necessary conditions for optimization of open-loop control systems, starting from the basic principles of calculus of variations. The unified approach results are simultaneously applicable to both shift (q)-operator-based, discrete-time systems and the derivative (d/dt)-operator-based, continuous-time systems. It is shown that the optimal condition results that are now obtained separately for continuous-time and discrete-time systems can be easily obtained from the unified approach. An illustrative example is given.
Original language | English (US) |
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Pages (from-to) | 59-75 |
Number of pages | 17 |
Journal | Optimal Control Applications and Methods |
Volume | 28 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2007 |
Keywords
- Continuous-time systems
- Delta approach
- Discrete-time systems
- Open-loop optimal control
- Unified approach