Control Synthesis of Markovian Jump Nonlinear System via A New Fuzzy Switching Controller

2019 ◽  
Author(s):  
Dongting Wang ◽  
Xiangpeng Xie ◽  
Ju H. Park
Keyword(s):  
Nonlinear System ◽  
Control Synthesis ◽  
Markovian Jump ◽  
Switching Controller

scholarly journals Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping Technique

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Jin Zhu ◽  
Hongsheng Xi ◽  
Qiang Ling ◽  
Wanqing Xie
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
Backstepping Technique ◽  
Markovian Jump ◽  
Feedback Form ◽  
Lyapunov Stability Criterion ◽  
Small Gain ◽  
Switching Controller ◽  
Robust Adaptive ◽  
System States

This paper investigates robust adaptive switching controller design for Markovian jump nonlinear systems with unmodeled dynamics and Wiener noise. The concerned system is of strict-feedback form, and the statistics information of noise is unknown due to practical limitation. With the ordinary input-to-state stability (ISS) extended to jump case, stochastic Lyapunov stability criterion is proposed. By using backstepping technique and stochastic small-gain theorem, a switching controller is designed such that stochastic stability is ensured. Also system states will converge to an attractive region whose radius can be made as small as possible with appropriate control parameters chosen. A simulation example illustrates the validity of this method.

scholarly journals Stabilization of Semi-Markovian Jump Systems with Uncertain Probability Intensities and Its Extension to Quantized Control

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Ngoc Hoai An Nguyen ◽  
Sung Hyun Kim ◽  
Jun Choi
Keyword(s):  
Markovian Jump Systems ◽  
Control Synthesis ◽  
Markovian Jump ◽  
Infinitesimal Operator ◽  
Input Quantization ◽  
Quantized Control ◽  
Stabilization Condition ◽  
Jump Systems ◽  
And Control ◽  
Stochastic Lyapunov Function

This paper concentrates on the issue of stability analysis and control synthesis for semi-Markovian jump systems (S-MJSs) with uncertain probability intensities. Here, to construct a more applicable transition model for S-MJSs, the probability intensities are taken to be uncertain, and this property is totally reflected in the stabilization condition via a relaxation process established on the basis of time-varying transition rates. Moreover, an extension of the proposed approach is made to tackle the quantized control problem of S-MJSs, where the infinitesimal operator of a stochastic Lyapunov function is clearly discussed with consideration of input quantization errors.

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