Title :
A two-stage Lyapunov-Bellman feedback design of a class of nonlinear systems
Author :
Chow, Joe H. ; Kotovic, Petar V.
Author_Institution :
General Electric Company, Schenectady, NY, USA
fDate :
6/1/1981 12:00:00 AM
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 :
Asymptotic stability, nonlinear systems; Singularly perturbed systems, nonlinear; Suboptimal control, nonlinear systems; Control systems; Cost function; Feedback; Lyapunov method; Nonlinear control systems; Nonlinear systems; Optimal control; Perturbation methods; Regulators; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1981.1102708