Further results on robustness of (possibly discontinuous) sample and hold feedback

We demonstrate that sample and hold state feedback control (possibly discontinuous with respect to the state) is robust when the closed loop system possesses an appropriate Lyapunov function. We first show that if a Lyapunov decrease over sampling periods exists for the nominal system, this decrease...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 49; no. 7; pp. 1081 - 1089
Main Authors Kellett, C.M., Hyungbo Shim, Teel, A.R.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.07.2004
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Applied sciences
Closed loop systems
Computer science; control theory; systems
Control systems
Control theory. Systems
Degradation
Delay
Exact sciences and technology
Lyapunov method
Noise measurement
Noise robustness
Robust control
Sampling methods
State feedback
Closed feedback
State feedback
Feedback regulation
Robustness
Discontinuous control
Sampling
Actuator
Lyapunov function
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Summary:We demonstrate that sample and hold state feedback control (possibly discontinuous with respect to the state) is robust when the closed loop system possesses an appropriate Lyapunov function. We first show that if a Lyapunov decrease over sampling periods exists for the nominal system, this decrease can be maintained with some degradation relative to a sufficiently small additive perturbation. We then proceed to catalog several applications of this robustness, e.g., robustness to measurement noise, computational delays, or fast actuator dynamics.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2004.831184