Memoryless controller design on discrete-time Markovian jump systems with parametric uncertainty and unknown delay

2003 ◽  
Author(s):  
P. Shi ◽  
E.-K. Boukas ◽  
R.K. Agarwal
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Parametric Uncertainty ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Jump Systems

scholarly journals Finite-Time Stabilization for Discrete-Time Delayed Markovian Jump Systems with Partially Delayed Actuator Saturation

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Guoliang Wang ◽  
Bo Feng
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Controller Design ◽  
Actuator Saturation ◽  
Probability Distributions ◽  
Sufficient Conditions ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Time Control ◽  
Jump Systems

The finite-time control problem of discrete-time delayed Markovian jump systems with partially delayed actuator saturation is considered by a mode-dependent parameter approach. Different from the traditionally saturated actuators, a kind of saturated actuator being partially delay-dependent is firstly proposed, where both nondelay and delay states are included and occur asynchronously. Moreover, the probability distributions of such two terms are described by the Bernoulli variable and are taken into account in the controller design. Sufficient conditions for the existence of the desired controller are presented with LMIs. Finally, a numerical example is provided to show the effectiveness and superiority of the obtained results.

scholarly journals Stabilization of Discrete-Time Markovian Jump Systems via Controllers with Partially Mode-Dependent Characterization

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Chunyan Zhai ◽  
Dingyu Xue ◽  
Shuchen Li ◽  
Guoliang Wang
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Matrix Inequalities ◽  
Markovian Jump ◽  
Stabilizing Controller ◽  
Unreliable Networks ◽  
Jump Systems

A kind of stabilizing controller in terms of being partially mode-dependent is developed for discrete-time Markovian jump systems (MJSs). The property referred to be partially mode-dependent is described by the Bernoulli variable. Based on the established model, the stabilization for MJSs over unreliable networks is considered, where both network-induced delay and packet dropout take place in system modes and states. Such effects of network are taken into account in controller design. All the conditions are derived in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are presented to show the effectiveness and applicability of the proposed method.

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