The inverse lure problem of optimal control

✍ Scribed by M. Sobral Jr.

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 182 KB
• Volume: 300
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(75)90104-0

✦ Synopsis

Given the linear system k = Ax-bu, y = cTx, it is shown that, for a certain non-quadratic cost functional, the optimal control is given by u,,t(x) = h(cTx), where the function h(y) must satisfy the conditions lcy2> h(y)y > 0 for y # 0, h(0) = 0 and existence of h-l everywhere.

The linear system considered must satisfy the Popov condition l/k + (1 +jw/?) G(jw) > 0 for all w, G(s) being the y(s)/@) transfer function.