Design of continuous time controllers having almost minimum time response

KALYON, MUAMMER

doi:10.1115/1.1468862

Design of continuous time controllers having almost minimum time response

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, cilt.124, sa.2, ss.252-260, 2002 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 124 Sayı: 2
Basım Tarihi: 2002
Doi Numarası: 10.1115/1.1468862
Dergi Adı: Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.252-260
İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

A class of near time-optimal nonlinear controllers - the Continuous Proximate Time-Optimal (CPTO) controllers - which involves continuous, rather than discontinuous, non-linear feedback control functions is introduced. The CPTO controllers give near time-optimal response for large state errors, and provide smooth, stable response with near linear control for small state errors. In this paper, the CPTO controllers for three second-order (two stable and one unstable) plants and one third-order plant are introduced. Complete stability proofs, using the CPTO control law, are given for all the systems considered. It has been shown through the simulation that response times are indeed near time-optimal for all cases considered.