A general approach to nonlinear multiple control problems with perturbation consideration

✍ Scribed by Y. Liu; K.L. Teo; R.P. Agarwal

• Book ID: 104351620
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 701 KB
• Volume: 26
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(97)00239-2

✦ Synopsis

In

this paper, we consider a general nonlinear optimal control problem involving multiple criteria. We show that the problem can be transformed into a standard optimal control problem, and hence, is solvable by conventional techniques. However, the optimal control so obtained is of open loop nature and is rather sensitive to perturbations. Based on the first-order approximation, neighboring extremal approach is used to obtain a local linear feedback correction control law, leading to a cornwined controller. Two numerical examples are solved using the proposed method to demon&r&e the effectivenese of the combined control.

Ke~ords-Multicriteria

optimal control, Open-loop control, Perturbation control, Neighboring extreme& Local linear feedback.