H∞ output feedback control for discrete-time nonlinear stochastic systems

2008 ◽  
Author(s):  
N. Berman ◽  
U. Shaked
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
Output Feedback ◽  
Stochastic Systems ◽  
Output Feedback Control ◽  
Nonlinear Stochastic Systems

scholarly journals Prescribed Performance Fuzzy Adaptive Output-Feedback Control for Nonlinear Stochastic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Lili Zhang ◽  
Shuai Sui ◽  
Shaocheng Tong
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Stochastic Systems ◽  
Output Feedback Control ◽  
Performance Bounds ◽  
Nonlinear Stochastic Systems ◽  
Prescribed Performance ◽  
Adaptive Output Feedback Control ◽  
Fuzzy State ◽  
Fuzzy Adaptive

A prescribed performance fuzzy adaptive output-feedback control approach is proposed for a class of single-input and single-output nonlinear stochastic systems with unmeasured states. Fuzzy logic systems are used to identify the unknown nonlinear system, and a fuzzy state observer is designed for estimating the unmeasured states. Based on the backstepping recursive design technique and the predefined performance technique, a new fuzzy adaptive output-feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin with the prescribed performance bounds. A simulation example is provided to show the effectiveness of the proposed approach.

H∞ Dynamic Output Feedback Control for a Class of Discrete-Time Stochastic Systems with Sector Nonlinearities and Mixed Time-Delays

2012 ◽  
Vol 490-495 ◽  
pp. 296-300
Author(s):  
Wei Jun Ma ◽  
Yan Mei Hu ◽  
Xian Zhang
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
Output Feedback ◽  
Time Delays ◽  
Stochastic Systems ◽  
Output Feedback Control ◽  
Dynamic Output Feedback ◽  
Mixed Time Delays ◽  
Dynamic Output ◽  
Sector Nonlinearities

This paper deals with the dynamic output feedback control problem for a class of discrete-time stochastic systems involving sector nonlinearities and mixed time-delays. Based on the control theory and Lyapunov-Krasovskii functional method, an effective approach is proposed to design a dynamic output feedback controller such that the resultant closed-loop system is stochastically stable with a prescribed disturbance attention in the mean square sense and has a performance level. A numerical example demonstrates the effectiveness of the method.

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