Title :
Near-optimal controls: deterministic case
Author_Institution :
Dept. of Syst. Eng., Chinese Univ. of Hong Kong, Shatin, Hong Kong
Abstract :
Near-optimization is as sensible and important as optimization for both theory and applications. It is the ultimate purpose of this series of papers to establish a unified and in-depth theory for dynamic near-optimization, or near-optimal controls, and to apply the theory to real-world systems that cannot be otherwise settled by existing approaches. In this paper, systems governed by ordinary differential equations are considered. Necessary and sufficient conditions of near-optimal controls with any given error bound are derived in terms of near-maximum conditions of the Hamiltonian. The relationship among the adjoint functions, the value functions, and the Hamiltonian along near-optimal trajectories are investigated by using dynamic programming and viscosity solution approach. Verification theorems with which near-optimal feedback controls can be constructed are obtained
Keywords :
control system synthesis; differential equations; dynamic programming; feedback; suboptimal control; Hamiltonian; adjoint functions; dynamic near-optimization; dynamic programming; near-maximum conditions; near-optimal feedback control construction; near-optimal trajectories; necessary and sufficient conditions; ordinary differential equations; value functions; verification theorems; viscosity solution; Computer aided software engineering; Control systems; Differential equations; Dynamic programming; Error correction; Feedback control; Manufacturing systems; Optimal control; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410937