Minimax control in substate space of a system with process uncertainty

✍ Scribed by Sibnath Basuthakur; Charles H. Knapp

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 755 KB
• Volume: 10
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(74)90008-9

✦ Synopsis

A linear time invariant controller obtained by a minimax technique can provide stable operation of a system with parameter uncertainty and yield an arbitrarily small bound on error in tracking a model

Summary--The control of a single input-single output plant with parameter uncertainty has been approached using a minimax technique. A linear time invariant controller results which requires only partial state feedback and is optimal in the sense that it minimizes a quadratic criterion involving tracking error, control, and parameter uncertainty. Bounded input-bounded output stability is guaranteed provided the transfer function has only left half plane zeros. If uncertainties are bounded, it is always possible to stabilize the system when sufficient control amplitude is available. The number of states required to generate the control is equal to the system order less the number of zeros. *