In this note symbolic-computation methods are used to design simple, "xed-structure, robust controllers for nonlinear systems. Design speci"cations are reduced to logically quanti"ed polynomial inequalities. The quanti"er-elimination (QE) software package QEPCAD is used to eliminate quanti"ers on st
Robust H∞ nonlinear control via measurement feedback
✍ Scribed by M. Shergei; U. Shaked
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 276 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1049-8923
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✦ Synopsis
This paper deals with the problem of finite-time-horizon robust H control via measurement feedback, for affine nonlinear systems with nonlinear time-varying parameter uncertainty. The problem addressed is the design of a control law, which processes the measured output and guarantees a prescribed level of closed-loop disturbance attenuation. Conditions for the existence of such a controller are obtained by solving an auxiliary control problem for a related system which is obtained from the original one by converting the parameter uncertainty into exogenous bounded energy signals. This approach allows us to apply the recently developed H nonlinear control techniques to solve the robust control problem. The problem is investigated in both the continuous-and discrete-time cases. The results are demonstrated by a simple example.
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