Reliable sliding mode finite-time control for discrete-time singular Markovian jump systems with sensor fault and randomly occurring nonlinearities

2017 ◽  
Vol 28 (2) ◽  
pp. 381-402 ◽  
Author(s):  
Yangfan Liu ◽  
Yuechao Ma ◽  
Yanning Wang
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Sensor Fault ◽  
Markovian Jump ◽  
Time Control ◽  
Singular Markovian Jump Systems ◽  
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 Finite-Time H∞ Filtering for Discrete-Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-22
Author(s):  
Wei Guan ◽  
Lei Fu ◽  
Yuechao Ma
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Transition Probabilities ◽  
Input Saturation ◽  
Markovian Jump Systems ◽  
Time Interval ◽  
Markovian Jump ◽  
Partly Unknown Transition Probabilities ◽  
Singular Markovian Jump Systems ◽  
Jump Systems

The paper is discussed with the problem of finite-time H∞ filtering for discrete-time singular Markovian jump systems (SMJSs). The systems under consideration consist of time-varying delay, actuator saturation and partly unknown transition probabilities. We pay attention to the design of a H∞ filtering which ensures the filtering error systems to be singular stochastic finite-time boundedness. By employing an adequate stochastic Lyapunov functional together with a class of linear matrix inequalities (LMIs), a sufficient condition is firstly established, which guarantees the systems to achieve our goal and satisfy a prescribed H∞ attenuation level in the given finite-time interval. Considering the above conditions, a distinct presentation for the requested H∞ filter is given. Finally, two numerical examples add to a dynamical Leontief model of economic systems are presented to illustrate the validity of the developed theoretical results.

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