Further results on output tracking for a class of uncertain high-order nonlinear time-delay systems

• Autorzy: Alimhan Keylan , Kalimoldayev Maksat N. , Adamov Abilmajin A. , Mamyrbayev Orken , Tasbolatuly Nurbolat , Smolarz Andrzej

Identyfikatory

DOI

10.15199/48.2019.05.22

Warianty tytułu

PL

Wyniki śledzenia wyjścia dla klasy nieliniowych systemów niepewnych wysokiego rzędu zawierających opóźnienia

• Języki publikacji: EN

Abstrakty

EN

This paper investigates the problem of global practical output tracking by state feedback for a class of uncertain high-order nonlinear timedelay systems. Further, we design a homogeneous state feedback controller with an adjustable scaling gain, under mild conditions on the system nonlinearities involving time delay. Through the use of a homogeneous Lyapunov-Krasovskii functional method, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the tracking error can be made arbitrarily small while all the states of the closed-loop system remain to be bounded.

PL

W artykule opisano problem globalnego praktycznego śledzenia wyjścia za pomocą sprzężenia zwrotnego od stanu dla klasy niepewnych nieliniowych układów opóźniających wysokiego rzędu. Ponadto zaprojektowany został jednorodny kontroler sprzężenia od stanu z regulowanym wzmocnieniem skali, przy łagodnej nieliniowości i opóźnieniu czasowym. Dzięki zastosowaniu jednorodnej metody funkcjonalnej Lapunowa-Krasowskiego, wzmocnienie skali jest przystosowane do dominacji nieliniowości opóźnienia czasowego ograniczonej przez jednorodne warunki wzrostu i powoduje, że błąd śledzenia może być dowolnie mały, podczas gdy wszystkie stany systemu ze sprzężeniem zwrotnym pozostają ograniczonye.

Słowa kluczowe

EN

global practical output tracking; nonlinear time delay system; state feedback controller; Lyapunov-Krasovskii functional

PL

globalne śledzenie wyjścia; nieliniowe systemy z opóźnieniem czasowym; kontroler sprzężenia zwrotnego od stanu; funkcjonał Lapunowa-Krasowskiego

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2019
• Tom: R. 95, nr 5
• Strony: 88--91
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Alimhan Keylan

• L.N.Gumilyov Eurasian National University, Astana, Kazakhstan
• Tokyo Denki University, Tokyo, Japan

autor

Kalimoldayev Maksat N.

• Institute of information and computational technologies CS MES RK, Almaty, Kazakhstan

autor

Adamov Abilmajin A.

• L.N.Gumilyov Eurasian National University, Astana, Kazakhstan

autor

Mamyrbayev Orken

• Institute of information and computational technologies CS MES RK, Almaty, Kazakhstan

autor

Tasbolatuly Nurbolat

• Institute of information and computational technologies CS MES RK, Almaty, Kazakhstan
• Al-Farabi Kazakh National University, Almaty, Kazakhstan

autor

Smolarz Andrzej

• Lublin University of Technology, Institute of Electronics and Information Technology, Nadbystrzycka 38A, 20- 618 Lublin, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).