Stability analysis of discrete linear systems with quantized input and state measurements

This work deals with the equilibrium point and stability analysis of discrete linear systems under quantized feedback. The case of quantized state feedback based on quantized state measurements (QIQM) is treated here. Unlike the case of input quantization (QI) only, there is no closed-form solution...

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Bibliographic Details
Published inProceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301) Vol. 3; pp. 2392 - 2397 vol.3
Main Authors Richter, H., Misawa, E.A.
Format Conference Proceeding
LanguageEnglish
Published Piscataway NJ IEEE 2002
Subjects
Applied sciences
Asymptotic stability
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Frequency domain analysis
Guidelines
Linear systems
Quantization
Space technology
Stability analysis
Stability criteria
State feedback
System testing
State feedback
Control system
Quantization
Feedback regulation
Frequency domain method
Discrete system
Transfer machine
Construction system
Equilibrium point
Exact solution
Closed feedback
Asymptotic stability
Input
Numerical analysis
Linear system
Quantized signal
Linear stability
Transfer function
System analysis
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Summary:This work deals with the equilibrium point and stability analysis of discrete linear systems under quantized feedback. The case of quantized state feedback based on quantized state measurements (QIQM) is treated here. Unlike the case of input quantization (QI) only, there is no closed-form solution for the equilibrium points. However, a computable condition for the origin to be the only equilibrium is given. The stability analysis requires the construction of an equivalent system and a stability theorem for systems with a sector nonlinearity that is multiplicatively perturbed by a bounded function of the state. The analysis reduces to a simple test in the frequency domain, namely, the closed-loop system is globally asymptotically stable about the origin if the Nyquist plot of a system transfer function lies to the right of a vertical line whose abscissa depends on the 1-norm of the feedback gain. A numerical example of the analysis technique and some guidelines for the synthesis of a stable feedback gain are also provided.
Bibliography:SourceType-Conference Papers & Proceedings-1
ObjectType-Conference Paper-1
content type line 25
ISBN:0780372980
9780780372986
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2002.1024000