On the discrete linear quadratic minimum-time problem

✍ Scribed by N. El Alami; A. Ouansafi; N. Znaidi

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 396 KB
• Volume: 335
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(96)00133-0

✦ Synopsis

minimum-time control of linear continuous-time systems avoiding the Bang-Bang control. Their method relied on the optimization of a cost including time energy and precision terms. Our purpose in this article is to extend their work to discrete-time linear systems. Indeed, we consider a linear discrete-time system and a quadratic cost including time and energy term, and we look fin the minimum-time and the control which minimizes the cost function and leads the system from a gitlen initial state to ajxed$nal one. By selecting the magnitude of the energy term, one may balance ojf the requirement for minimum-time versus the one for keeping the state and inputs small over the considered interval of time. Finally we give a method to compute the minimum-time and the optimal control. @J 1997 The Franklin Institute.