Abstract
In this paper, we consider the problem of Nash equilibrium solutions of two players tracking game for bilinear systems. A successive approximation approach is modified to design optimal controllers for bilinear systems. More specifically, a sequence of extended Sylvester differential equations are solved by this modified approach. A simulation example is given to demonstrate the validity of this approach.
| Original language | English |
|---|---|
| Pages (from-to) | 608-622 |
| Number of pages | 15 |
| Journal | Optimal Control Applications and Methods |
| Volume | 34 |
| Issue number | 5 |
| DOIs | |
| State | Published - Sep 2013 |
Keywords
- Nash equilibrium solutions
- Sylvester differential equations
- bilinear systems
- successive approximation approach
- tracking game
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