TY - GEN

T1 - Input-to-state stabilization with quantized output feedback

AU - Sharon, Yoav

AU - Liberzon, Daniel

N1 - Funding Information:
This work was supported by NSF ECS-0134115 CAR and NSF ECCS-0701676 awards.

PY - 2008

Y1 - 2008

N2 - We study control systems where the output subspace is covered by a finite set ofquantization regions, and the only information available to a controller is which of thequantization regions currently contains the system's output. We assume the dimension of theoutput subspace is strictly less than the dimension of the state space. The number ofquantization regions can be as small as 3 per dimension of the output subspace. We show how todesign a controller that stabilizes such a system, and makes the system robust to an externalunknown disturbance in the sense that the closed-loop system has the Input-to-State Stabilityproperty. No information about the disturbance is required to design the controller. Achievingthe ISS property for continuous-time systems with quantized measurements requires a hybridapproach, and indeed our controller consists of a dynamic, discrete-time observer, acontinuous-time state-feedback stabilizer, and a switching logic that switches between severalmodes of operation. Except for some properties that the observer and the stabilizer must possess,our approach is general and not restricted to a specific observer or stabilizer. Examples ofspecific observers that possess these properties are included.

AB - We study control systems where the output subspace is covered by a finite set ofquantization regions, and the only information available to a controller is which of thequantization regions currently contains the system's output. We assume the dimension of theoutput subspace is strictly less than the dimension of the state space. The number ofquantization regions can be as small as 3 per dimension of the output subspace. We show how todesign a controller that stabilizes such a system, and makes the system robust to an externalunknown disturbance in the sense that the closed-loop system has the Input-to-State Stabilityproperty. No information about the disturbance is required to design the controller. Achievingthe ISS property for continuous-time systems with quantized measurements requires a hybridapproach, and indeed our controller consists of a dynamic, discrete-time observer, acontinuous-time state-feedback stabilizer, and a switching logic that switches between severalmodes of operation. Except for some properties that the observer and the stabilizer must possess,our approach is general and not restricted to a specific observer or stabilizer. Examples ofspecific observers that possess these properties are included.

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U2 - 10.1007/978-3-540-78929-1_36

DO - 10.1007/978-3-540-78929-1_36

M3 - Conference contribution

AN - SCOPUS:70350013588

SN - 3540789286

SN - 9783540789284

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 500

EP - 513

BT - Hybrid Systems

PB - Springer

T2 - 11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008

Y2 - 22 April 2008 through 24 April 2008

ER -