Back to University of Twente portal
On a state space approach to nonlinear H∞ control
Schaft van der, A.J. (1991) On a state space approach to nonlinear H∞ control. Systems & Control Letters, 16 (1). pp. 1-8. ISSN 0167-6911
![[img]](http://doc.utwente.nl/style/images/fileicons/application_pdf.png)
| PDF 513Kb |
| Abstract: | We study the standard H∞ optimal control problem using state feedback for smooth nonlinear control systems. The main theorem obtained roughly states that the L2-induced norm (from disturbances to inputs and outputs) can be made smaller than a constant γ > 0 if the corresponding H∞ norm for the system linearized at the equilibrium can be made smaller than γ by linear state feedback. Necessary and sufficient conditions for the latter problem are by now well-known, e.g. from the state space approach to linear H∞ optimal control. Our approach to the nonlinear H∞ optimal control problem generalizes the state space approach to the linear H∞ problem by replacing the Hamiltonian matrix and corresponding Riccati equation as used in the linear context by a Hamiltonian vector field together with a Hamiltonian-Jacobi equation corresponding to its stable invariant manifold. |
| Item Type: | Article |
| Copyright: | © 1991 Elsevier |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/72984 |
| Official URL: | http://dx.doi.org/10.1016/0167-6911(91)90022-7 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
Show download statistics for this publication
Show download statistics for this publicationRepository Staff Only: item control page
Metis ID: 140587