Robust Controller Design of Uncertain Discrete Time-Delay Systems With Input Saturation and Disturbances

This technical note deals with the problem of robust controller design of uncertain discrete time-delay systems subject to control input saturation and bounded external disturbances. A sufficient condition is obtained, which guarantees the existence of state feedback controllers and an admissible in...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 57; no. 10; pp. 2604 - 2609
Main Authors Xu, Shengyuan, Feng, Gang, Zou, Yun, Huang, Jie
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.10.2012
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptative systems
Applied sciences
Asymptotic stability
Bounded disturbances
Closed loop systems
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Decay rate
Delay
Design engineering
discrete systems
Disturbances
Exact sciences and technology
Initial conditions
input saturation
Linear matrix inequalities
robust control
Saturation
Simulation
Stability analysis
State feedback
System theory
time-varying delays
Uncertain systems
State feedback
Disturbance rejection
discrete systems
Feedback regulation
Control synthesis
Iterative method
Input saturation
Delay system
Closed feedback
Robust control
Time varying system
Bounded disturbances
Uncertain system
Decay time
Discrete time
Linear matrix inequality
time-varying delays
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Summary:This technical note deals with the problem of robust controller design of uncertain discrete time-delay systems subject to control input saturation and bounded external disturbances. A sufficient condition is obtained, which guarantees the existence of state feedback controllers and an admissible initial condition domain such that the resulting closed-loop system is uniformly exponentially convergent to a ball with certain exponential decay rate for every initial condition emanating from the admissible domain. An iterative linear matrix inequality relaxation scheme can be used to construct desired state feedback controllers. A simulation example is provided to demonstrate the effectiveness of the proposed method.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2012.2190181