A two stage Lyapunov-Bellman feedback design of a class of nonlinear systems
- 1 December 1980
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
The composite control proposed in an earlier paper for a class of singularly perturbed nonlinear systems is now shown to possess properties essential for near-optimal feedback design. It asymptotically stabilizes the desired equilibrium and produces a finite cost which tends to the optimal cost for a slow problem as the singular perturbation parameter tends to zero. Thus the well-posedness of the full regulator problem is established. The stability results are also applicable to two-time scale systems which are not singularly perturbed, and the paper does not assume the knowledge of singular perturbation techniques.Keywords
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