TY - JOUR
T1 - Quantum level for stochastic discrete-time sliding modes
AU - Lee, Kyung Sup
AU - Haddad, Abraham Herzl
PY - 2000/12/1
Y1 - 2000/12/1
N2 - This paper considers a feedback control system where a plant is actuated by a quantized control. The control is obtained by the quantization of measurements which are assumed to be disturbed by an additive wideband Gaussian noise in the feedback loop. In the continuous-time case, the nonlinear control may cause the system to behave as a variable structure system (VSS) which exhibits a sliding mode on the sliding surface. In the discrete-time case, however, the system may or may not yield an associated sliding mode by discretizing the controller in the continuous-time case. It provides the motivation to consider the quantum levels in a uniform quantizer so that the discrete-time sliding mode has the same behavior as the continuous-time sliding mode. Thus, the sliding controller design scheme for continuous-time quantized control systems may be extended to discrete-time systems.
AB - This paper considers a feedback control system where a plant is actuated by a quantized control. The control is obtained by the quantization of measurements which are assumed to be disturbed by an additive wideband Gaussian noise in the feedback loop. In the continuous-time case, the nonlinear control may cause the system to behave as a variable structure system (VSS) which exhibits a sliding mode on the sliding surface. In the discrete-time case, however, the system may or may not yield an associated sliding mode by discretizing the controller in the continuous-time case. It provides the motivation to consider the quantum levels in a uniform quantizer so that the discrete-time sliding mode has the same behavior as the continuous-time sliding mode. Thus, the sliding controller design scheme for continuous-time quantized control systems may be extended to discrete-time systems.
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U2 - 10.1109/ACC.2000.876936
DO - 10.1109/ACC.2000.876936
M3 - Article
AN - SCOPUS:0034546105
VL - 6
SP - 3817
EP - 3821
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
SN - 0743-1619
M1 - 876936
ER -