Robust Control of Uncertain Linear Input-Delayed Sampled Data System Through Use of Optimization Scheme and Robust Stability Bound

Author(s):  
Jonathan Kratz ◽  
Rama K. Yedavalli
2012 ◽  
Vol 433-440 ◽  
pp. 7499-7504
Author(s):  
Xue Liang Wang

The unfragile control problem of a class of uncertain state-delay sampled system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.


Author(s):  
Shigang Wang ◽  
Yongli Bi ◽  
Jun Bi ◽  
Xueliang Wang ◽  
Wenjuan Qi ◽  
...  

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Shigang Wang ◽  
Yongli Bi ◽  
Yingsong Li

This paper mainly studies the problem of the robust stability analysis for sampled-data system with long time delay. By constructing an improved Lyapunov-Krasovskii functional and employing some free weighting matrices, some new robust stability criteria can be established in terms of linear matrix inequalities. Furthermore, the proposed equivalent criterion eliminates the effect of free weighing matrices such that numbers of decision variables and computational burden are less than some existing results. A numerical example is also presented and compared with previously proposed algorithm to illustrate the feasibility and effectiveness of the developed results.


2004 ◽  
Vol 126 (4) ◽  
pp. 905-910 ◽  
Author(s):  
Qing-Chang Zhong ◽  
David Rees

This paper proposes a robust control strategy for uncertain LTI systems. The strategy is based on an uncertainty and disturbance estimator (UDE). It brings similar performance as the time-delay control (TDC). The advantages over TDC are: (i) no delay is introduced into the system; (ii) there are no oscillations in the control signal; and (iii) there is no need of measuring the derivatives of the state vector. The robust stability of LTI-SISO systems is analyzed, and simulations are given to show the effectiveness of the UDE-based control with a comparison made with TDC.


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