scholarly journals Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem

2009 ◽  
Vol 2009 ◽  
pp. 1-23 ◽  
Author(s):  
Jin Zhu ◽  
Junhong Park ◽  
Kwan-Soo Lee ◽  
Maksym Spiryagin
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
Markovian Jump ◽  
Small Gain Theorem ◽  
Small Gain ◽  
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.

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