Disturbance attenuation via state feedback for systems with a saturation nonlinearity in the control channel
✍ Scribed by Wei Zhan; Le Yi Wang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 406 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
We
study the problem of disturbance attenuation via state feedback for asymptotically stable systems with a saturation nonlinearity in the control channel. The disturbance is assumed to be bounded, with the bound known. This amounts to adding a saturation nonlinearity in the disturbance channel. A sufficient condition is derived in terms of algebraic matrix inequalities, which are much simpler to solve than the general Hamilton-Jacobi-Isaacs partial differential inequality. A suboptimal control law is given based on the solution to the Riccati inequalities. The computational complexity of solving the optimal controller is similar to that of liner H' controller design.