Brief The infinite time near optimal decentralized regulator problem for singularly perturbed systems: a convex optimization approach

Authors:
Germain Garcia;Jamal Daafouz;Jacques Bernussou
Affiliations:
L.A.A.S. du C.N.R.S. 7, Avenue du Colonel Roche, 31077 Toulouse Cedex, France;C.R.A.N. - C.N.R.S. UMR 7039, 2, Avenue de la Fort de Haye, 54516 Vandoeuvre Cedex, France;L.A.A.S. du C.N.R.S. 7, Avenue du Colonel Roche, 31077 Toulouse Cedex, France
Venue:
Automatica (Journal of IFAC)
Year:
2002

Citing 2
Cited 4

Optimal decentralized control of dynamic systems

Automatica (Journal of IFAC)
Papers: Algebraic characterization of fixed modes in decentralized control

Automatica (Journal of IFAC)

Brief paper: Decentralized dynamic output feedback for robust stabilization of a class of nonlinear interconnected systems

Automatica (Journal of IFAC)
Brief paper: H∞ control for fast sampling discrete-time singularly perturbed systems

Automatica (Journal of IFAC)
H∞ control design for fuzzy discrete-time singularly perturbed systems via slow state variables feedback: An LMI-based approach

Information Sciences: an International Journal
H∞ control for fuzzy singularly perturbed systems

Fuzzy Sets and Systems

Quantified Score

Hi-index	22.15

Visualization

Abstract

This paper presents LQ decentralized pole location for singularly perturbed systems. The poles are located in a sector included in the left-half complex plane. The singular perturbation method is used to define reduced and well-behaved problems. It is shown that the LQ control problem with pole location in a sector can be solved using the LMI tool. The associated parametrical optimization problem involves a linear cost objective under LMI constraints. The decentralized control problem is then solved in the reduced slow system by just introducing structure constraints on the matrix variables, constraints that do not destroy the linearity and then the convexity of the problem.