H∞ memoryless control with an α-stability constraint for time-delay systems : An LMI approach

This paper focuses on the design of H∞ memoryless state feedback controllers satisfying some α-stability constraints on the closed-loop poles for a class of linear systems with delayed state, subject to disturbance inputs. A sufficient condition for feasibility is derived in terms of linear matrix i...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 43; no. 5; pp. 739 - 743
Main Author NICULESCU, S.-I
Format Journal Article
LanguageEnglish
Published New York, NY Institute of Electrical and Electronics Engineers 1998
Subjects
Applied sciences
Automatic
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Engineering Sciences
Exact sciences and technology
State feedback
Stability
Linear system
H infinite control
Control synthesis
Linear matrix inequality
Delay system
Perturbation
Optimization
Lyapunov-Krasovskii functional
LMI approach
Delay systems
H∞ control
α-stability
Online AccessGet full text

Cover

More Information
Summary:This paper focuses on the design of H∞ memoryless state feedback controllers satisfying some α-stability constraints on the closed-loop poles for a class of linear systems with delayed state, subject to disturbance inputs. A sufficient condition for feasibility is derived in terms of linear matrix inequalities. Furthermore, we also consider a particular optimization problem the maximal bound allowed on time-delay such that the prescribed level on disturbance attenuation and the α-stability constraints are still preserved. This problem is conversed into a linear matrix inequality (LMI) optimization problem and we give a suboptimal bound on the delay.
ISSN:0018-9286
DOI:10.1109/9.668850