Stabilization of discrete-time quantized control systems
Tóm tắt
This paper considers a discrete-time linear time-invariant feedback control system where an unstable plant is actuated by a quantized controller and the measurements are disturbed by an additive wideband noise in the feedback loop. The quantized control may cause the discrete-time system to be modeled as variable structure under the existence and convergence conditions of a quasi-sliding mode. The control guides the system to the origin via a quasi-sliding mode, however, it may not constrain the system to the origin. Linear stabilizing controllers near the origin are investigated, and in the steady state the performance of the stabilized system is examined via a quadratic performance index. Numerical examples are presented and discussed as an illustration.
Từ khóa
#Control systems #Additive noise #Feedback control #Linear feedback control systems #Noise measurement #Wideband #Feedback loop #Convergence #Steady-state #Performance analysisTài liệu tham khảo
astrom, 1984, Zeros of sampled systems, Automatica, 20, 31, 10.1016/0005-1098(84)90062-1
lee, 1999, Stabilization of stochastic quantized control systems, Proc American Control Conference, 965
stengel, 1986, Stochastic Optimal Control Theory and Application
lee, 1999, Quantized control of stochastic stable linear systems, Proc the 14th IFAC World Congress Beijing China, 265
10.1109/TAC.1987.1104468
10.1109/9.35824
milosavljevic, 1985, General conditions for the existence of quasisliding mode on the switching hyperplane in discrete variable structure systems, Automation and Remote Control, 46, 307
10.1109/9.24216
kwakernaak, 1972, Linear Optimal Control Systems
lee, 2000, Quantum level for stochastic discrete-time sliding modes, Proc American Control Conference, 3817
papoulis, 1984, Probability Random Variables and Stochastic Processes Second Edition