Title :
On Mean-Square Boundedness of Stochastic Linear Systems With Quantized Observations
Author :
Chatterjee, Debangshu ; Hokayem, Peter ; Ramponi, Federico A. ; Lygeros, John
Author_Institution :
Syst. & Control Eng., Indian Inst. of Technol.-Bombay, Mumbai, India
Abstract :
We propose a procedure to design a state-quantizer with a fixed finite alphabet for a Lyapunov stable stochastic linear system, and a bounded policy based on the resulting quantized state measurements to ensure bounded second moments of the states in closed-loop.
Keywords :
closed loop systems; control system synthesis; discrete time systems; linear systems; mean square error methods; stochastic systems; Lyapunov stable stochastic linear system; closed-loop state; discrete time systems; fixed finite alphabet; mean square boundedness; quantized observations; quantized state measurements; state quantizer design; stochastic linear systems; Control systems; Electronic mail; Linear systems; Noise; Quantization; Standards; Vectors; Static quantizer; transmission rate;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2243311
