TY - GEN
T1 - Energy control of the pendulum without measuring its angular velocity
AU - Seifullaev, Ruslan
AU - Fradkov, Alexander
AU - Fridman, Emilia
N1 - Publisher Copyright:
© 2020 EUCA.
PY - 2020/5
Y1 - 2020/5
N2 - It is well-known that the state-feedback control law based on the speed gradient method can stabilize the pendulum's energy. This control employs measurements of the pendulum's angular displacement and angular velocity. In the present paper, we aim to stabilize the pendulum's energy by using the angular measurement only. We suggest a time-delay implementation of the above state-feedback control law. The resulting delayed static output-feedback practically stabilizes the pendulum's energy. We propose a precise characterization of the energy deviation bound that depends on the delay value. A numerical example demonstrates the efficiency of the results.
AB - It is well-known that the state-feedback control law based on the speed gradient method can stabilize the pendulum's energy. This control employs measurements of the pendulum's angular displacement and angular velocity. In the present paper, we aim to stabilize the pendulum's energy by using the angular measurement only. We suggest a time-delay implementation of the above state-feedback control law. The resulting delayed static output-feedback practically stabilizes the pendulum's energy. We propose a precise characterization of the energy deviation bound that depends on the delay value. A numerical example demonstrates the efficiency of the results.
UR - http://www.scopus.com/inward/record.url?scp=85090132653&partnerID=8YFLogxK
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AN - SCOPUS:85090132653
T3 - European Control Conference 2020, ECC 2020
SP - 77
EP - 82
BT - European Control Conference 2020, ECC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 18th European Control Conference, ECC 2020
Y2 - 12 May 2020 through 15 May 2020
ER -