Abstract
Using an extended quadratic Lyapunov function of the form V(x) = x TP(x)x, we consider L 2-gain analysis and state feedback control synthesis for input-affine polynomial type nonlinear systems, and derive Riccati type matrix inequality conditions that depend on x. We show that the solution P(x) can be given by solving linear matrix inequalities as a polynomial type matrix. We also determine the domain of internal stability. We finally show that the proposed method is effective through a numerical example of bilinear systems.
| Original language | English |
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| Title of host publication | Proceedings of the American Control Conference |
| Publisher | IEEE |
| Pages | 411-415 |
| Number of pages | 5 |
| Volume | 1 |
| Publication status | Published - 1997 |
| Event | Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: 1997 Jun 4 → 1997 Jun 6 |
Other
| Other | Proceedings of the 1997 American Control Conference. Part 3 (of 6) |
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| City | Albuquerque, NM, USA |
| Period | 97/6/4 → 97/6/6 |
ASJC Scopus subject areas
- Control and Systems Engineering