In this paper, the state feedback regulator problem of nonlinear singularly perturbed systems is discussed. It is shown that, under standard assumptions, this problem is solvable if and only if a certain nonlinear partial differential equation is solvable. Once this equation is solvable, a feedback
Output regulation of nonlinear systems with delay
โ Scribed by E. Fridman
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 359 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0167-6911
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โฆ Synopsis
Output regulation of retarded type nonlinear systems is considered. Regulator equations are derived, which generalize Francis-Byrnes-Isidori equations to the case of systems with delay. It is shown that, under standard assumptions, the regulator problem is solvable if and only if these equations are solvable. In the linear case, the solution of these equations is reduced to linear matrix equations. An example of a delayed Van der Pol equation illustrates the e ciency of the results.
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