Robust control of uncertain nonlinear systems with state delays based on an uncertainty and disturbance estimator

2010 ◽  
Vol 21 (1) ◽  
pp. 79-92 ◽  
Author(s):  
Alon Kuperman ◽  
Qing-Chang Zhong
Keyword(s):  
Robust Control ◽  
Nonlinear Systems ◽  
Uncertain Nonlinear Systems ◽  
State Delays ◽  
Uncertainty And Disturbance Estimator ◽  
Disturbance Estimator

Control of Uncertain Nonlinear Systems Using an Uncertainty and Disturbance Estimator

2011 ◽  
Vol 134 (2) ◽  
Author(s):  
V. S. Deshpande ◽  
S. B. Phadke
Keyword(s):  
Nonlinear Systems ◽  
Linear Systems ◽  
Uncertain Nonlinear Systems ◽  
Initial Control ◽  
Uncertainty And Disturbance Estimator ◽  
The Stability ◽  
Uncertain Linear Systems ◽  
Disturbance Estimator

In this paper, we extend a recently developed method (Zhong and Rees, 2004, “Control of Uncertain LTI Systems Based on an Uncertainty and Disturbance Estimator,” ASME J. Dyn. Syst., Meas., Control, 126(4), pp. 905–910), for controlling uncertain linear systems using an uncertainty and disturbance estimator, to uncertain nonlinear systems. Further the control proposed in this paper removes the drawback of large initial control underlying the method. The stability of the overall system of the plant and the estimator is proved. The efficacy of the method is illustrated by simulation.

Control of Uncertain LTI Systems Based on an Uncertainty and Disturbance Estimator

2004 ◽  
Vol 126 (4) ◽  
pp. 905-910 ◽  
Author(s):  
Qing-Chang Zhong ◽  
David Rees
Keyword(s):  
Time Delay ◽  
Robust Control ◽  
Robust Stability ◽  
Control Strategy ◽  
Time Delay Control ◽  
Delay Control ◽  
Uncertainty And Disturbance Estimator ◽  
Derivatives Of ◽  
Siso Systems ◽  
Disturbance Estimator

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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