The stability analysis of systems with nonlinear feedback expressed by a quadratic program

G. Li; W.P. Heath; B. Lennox

doi:10.1109/CDC.2006.376768

The stability analysis of systems with nonlinear feedback expressed by a quadratic program

G. Li
, W.P. Heath
, B. Lennox

University of Manchester

Allbwn ymchwil: Cyfraniad at gynhadledd › Papur › adolygiad gan gymheiriaid

Crynodeb

We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion

Iaith wreiddiol	Anadnabyddus
Tudalennau	4247-4252
Nifer y tudalennau	6
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1109/CDC.2006.376768
Statws	Cyhoeddwyd - 7 Mai 2007
Cyhoeddwyd yn allanol	Ie
Digwyddiad	Proceedings of the 45th IEEE Conference on Decision and Control - San Diego, Yr Unol Daleithiau Hyd: 13 Rhag 2006 → 15 Rhag 2006

Cynhadledd

Cynhadledd	Proceedings of the 45th IEEE Conference on Decision and Control
Gwlad/Tiriogaeth	Yr Unol Daleithiau
Dinas	San Diego
Cyfnod	13/12/06 → 15/12/06

Mynediad at Ddogfen

10.1109/CDC.2006.376768

Dyfynnu hyn

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title = "The stability analysis of systems with nonlinear feedback expressed by a quadratic program",

abstract = "We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion",

author = "G. Li and W.P. Heath and B. Lennox",

year = "2007",

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day = "7",

doi = "10.1109/CDC.2006.376768",

language = "Anadnabyddus",

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T1 - The stability analysis of systems with nonlinear feedback expressed by a quadratic program

AU - Li, G.

AU - Heath, W.P.

AU - Lennox, B.

PY - 2007/5/7

Y1 - 2007/5/7

N2 - We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion

AB - We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion

U2 - 10.1109/CDC.2006.376768

DO - 10.1109/CDC.2006.376768

M3 - Papur

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T2 - Proceedings of the 45th IEEE Conference on Decision and Control

Y2 - 13 December 2006 through 15 December 2006

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