Input-to-state stabilizing MPC for neutrally stable linear systems subject to input constraints

Jung Su Kim, Tae Woong Yoon, Ali Jadbabaie, Claudio De Persis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

MPC(Mode) Predictive Control) is representative of control methods which are able to handle physical constraints. Closed-loop stability can therefore be ensured only locally in the presence of constraints of this type. However, if the system is neutrally stable, and if the constraints are imposed only on the input, global asymptotic stability can be obtained. A globally stabilizing finite-horizon MPC has lately been suggested for the neutrally stable systems using a non-quadratic terminal cost which consists of cubic as well as quadratic functions of the state. In this paper, an input-to-state-stabilizing MPC is proposed for the discrete-time input-constrained neutrally stable system using a non-quadratic terminal cost which is similar to that used in the global stabilizing MPC, provided that the external disturbance is sufficiently small. The proposed MPC algorithm is also coded using an SQP (Sequential Quadratic Programming) algorithm, and simulation results are given to show the effectiveness of the method.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages5041-5046
Number of pages6
Volume5
Publication statusPublished - 2004
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: 2004 Dec 142004 Dec 17

Other

Other2004 43rd IEEE Conference on Decision and Control (CDC)
CountryBahamas
CityNassau
Period04/12/1404/12/17

Fingerprint

Linear systems
Quadratic programming
Asymptotic stability
Costs

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

Cite this

Kim, J. S., Yoon, T. W., Jadbabaie, A., & De Persis, C. (2004). Input-to-state stabilizing MPC for neutrally stable linear systems subject to input constraints. In Proceedings of the IEEE Conference on Decision and Control (Vol. 5, pp. 5041-5046). [FrB13.4]

Input-to-state stabilizing MPC for neutrally stable linear systems subject to input constraints. / Kim, Jung Su; Yoon, Tae Woong; Jadbabaie, Ali; De Persis, Claudio.

Proceedings of the IEEE Conference on Decision and Control. Vol. 5 2004. p. 5041-5046 FrB13.4.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kim, JS, Yoon, TW, Jadbabaie, A & De Persis, C 2004, Input-to-state stabilizing MPC for neutrally stable linear systems subject to input constraints. in Proceedings of the IEEE Conference on Decision and Control. vol. 5, FrB13.4, pp. 5041-5046, 2004 43rd IEEE Conference on Decision and Control (CDC), Nassau, Bahamas, 04/12/14.
Kim JS, Yoon TW, Jadbabaie A, De Persis C. Input-to-state stabilizing MPC for neutrally stable linear systems subject to input constraints. In Proceedings of the IEEE Conference on Decision and Control. Vol. 5. 2004. p. 5041-5046. FrB13.4
Kim, Jung Su ; Yoon, Tae Woong ; Jadbabaie, Ali ; De Persis, Claudio. / Input-to-state stabilizing MPC for neutrally stable linear systems subject to input constraints. Proceedings of the IEEE Conference on Decision and Control. Vol. 5 2004. pp. 5041-5046
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