Domain of attraction and guaranteed cost control for non-linear quadratic systems. Part 2: controller design

2013 ◽  
Vol 7 (4) ◽  
pp. 565-572 ◽  
Author(s):  
Francesco Amato ◽  
Roberto Ambrosino ◽  
Marco Ariola ◽  
Alessio Merola
2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Linqin Cai ◽  
Zhuo Yang ◽  
Jimin Yu ◽  
Zhenhua Zhang

This paper deals with the problem of guaranteed cost control for a class of nonlinear networked control systems (NCSs) with time-varying delay. A guaranteed cost controller design method is proposed to achieve the desired control performance based on the switched T-S fuzzy model. The switching mechanism is introduced to handle the uncertainties of NCSs. Based on Lyapunov functional approach, some sufficient conditions for the existence of state feedback robust guaranteed cost controller are presented. Simulation results show that the proposed method is effective to guarantee system’s global asymptotic stability and quality of service (QoS).


Author(s):  
J Qiu ◽  
H He ◽  
P Shi

In this paper, the problem of guaranteed cost control for stochastic systems is considered. The system is non-linear, and the delays are distributed. Based on Lyapunov stability theory combined with the linear matrix inequality (LMI) technique, delay-dependent stability and stabilization conditions are proposed. Furthermore, sufficient conditions for the existence of guaranteed cost controllers are derived. Finally, a numerical example is used to illustrate the effectiveness and feasibility of the approaches proposed in this paper.


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