Optimal D-stable control for discrete multiple time-delay systems with parametric uncertainties

✍ Scribed by Feng-Hsiag Hsiao; Shing-Tai Pan; Ching-Cheng Teng

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 398 KB
• Volume: 333
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(96)00021-x

✦ Synopsis

The robustly optimal D-stab&& problem is considered in this study for discrete multiple time-delay systems with parametric uncertainties. A discrete uncertain multiple time-delay system can be transformed into another system with no delay by properly defining new state variables. The problem of optimization of discrete-time systems with multiple time delays is consequently reduced to a standard discrete linear quadratic regulator problem A robust criterion of D-stability is derived on the basis of D-po&& placement technique to show that the optimal control law not only minimizes the discrete linear quadratic performance index but also simultaneously guarantees that all po&&s of the closed-loop system remain inside the specified disk D(c~, r) in the presence of parametric uncertainties. An example is finally provided .for illustrating our main results.