Abstract
We consider the solvability of Hamilton-Jacobi-Isaacs equations that arise in nonlinear H∞ control problems where the system is affine in the control and the disturbance, while the cost function is not necessarily continuous in the state and the control. We prove the existence of viscosity supersolutions under the assumption that the value function is finite. We also obtain global asymptotic stability of the closed-loop system under the H∞ controller and the worst-case disturbance.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1761-1766 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 2 |
| State | Published - 1997 |
| Event | Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA Duration: Dec 10 1997 → Dec 12 1997 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization