Title: OBSERVERBASED QUANTIZED OUTPUT FEEDBACK CONTROL of NONLINEAR SYSTEMS
1OBSERVER-BASED QUANTIZED OUTPUT FEEDBACK
CONTROL of NONLINEAR SYSTEMS
Daniel Liberzon
Coordinated Science Laboratory and Dept. of
Electrical Computer Eng., Univ. of Illinois at
Urbana-Champaign
IFAC World Congress, Seoul, Korea, July 2008
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2QUANTIZED OUTPUT FEEDBACK
- Motivation
- limited communication between sensor and
actuator - trade-off between communication and computation
- Objectives
- analyze effect of quantization on system
stability - design controllers robust to quantization errors
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3QUANTIZER
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4LINEAR SYSTEM
Brockett-L
Plant
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5LINEAR SYSTEM (continued)
Hurwitz
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7NONLINEAR SYSTEM
Plant
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8NONLINEAR SYSTEM (continued)
ISS
Can recover GAS using dynamic quantization
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9ISS ASSUMPTION CLOSER LOOK
Closed-loop system
is ISS
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10ISS CONTROLLER DESIGN
Closed-loop system
1.
- Not always possible to achieve Freeman 95, Fah
99
- Results exist for classes of systems Freeman
Kokotovic 93, - 96, Freeman 97, Fah 99, Jiang et al. 99,
Sanfelice Teel 05, - Ebenbauer, Raff Allgower 07, 08
- ISS assumption is fundamental in quantized
control of - nonlinear systems L 03
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11ISS OBSERVER DESIGN
Closed-loop system
2.
This is ISS property of observer w.r.t. additive
output errors
- Almost no results on design of such ISS
observers exist, - except recent work of H. Shim, J.H. Seo, A.R.
Teel, J.S. Kim
More research on this problem is needed
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