Robust Adaptive Control of Uncertain Stochastic Hamiltonian Systems with Time Varying Delay

2015 ◽  
Vol 18 (2) ◽  
pp. 642-651 ◽  
Author(s):  
Weiwei Sun ◽  
Lianghong Peng
Keyword(s):  
Adaptive Control ◽  
Hamiltonian Systems ◽  
Robust Adaptive Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Stochastic Hamiltonian Systems ◽  
Robust Adaptive ◽  
Varying Delay

Robust Adaptive Control of Robotic Manipulator with Input Time-varying Delay

2019 ◽  
Vol 17 (9) ◽  
pp. 2193-2202 ◽  
Author(s):  
Saim Ahmed ◽  
Haoping Wang ◽  
Muhammad Shamrooz Aslam ◽  
Imran Ghous ◽  
Irfan Qaisar
Keyword(s):  
Adaptive Control ◽  
Robotic Manipulator ◽  
Robust Adaptive Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Input Time ◽  
Robust Adaptive ◽  
Varying Delay

scholarly journals Robust Adaptive Control andL2Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Weiwei Sun ◽  
Guochen Pang ◽  
Pan Wang ◽  
Lianghong Peng
Keyword(s):  
Adaptive Control ◽  
Time Delay ◽  
Hamiltonian Systems ◽  
Robust Adaptive Control ◽  
Disturbance Attenuation ◽  
Control Law ◽  
External Disturbances ◽  
Time Varying Delay ◽  
Closed Loop Systems ◽  
Robust Adaptive

This paper deals with the robust stabilizability andL2disturbance attenuation for a class of time-delay Hamiltonian control systems with uncertainties and external disturbances. Firstly, the robust stability of the given systems is studied, and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii (L-K) functional approach. Secondly, the problem ofL2disturbance attenuation is considered for the Hamiltonian systems subject to external disturbances. An adaptive control law is designed corresponding to the time-varying delay pattern involved in the systems. It is shown that the closed-loop systems under the feedback control law can guarantee theγ-dissipative inequalities be satisfied. Finally, two numerical examples are provided to illustrate the theoretical developments.

scholarly journals Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Ruliang Wang ◽  
Jie Li ◽  
Shanshan Zhang ◽  
Dongmei Gao ◽  
Huanlong Sun
Keyword(s):  
Neural Control ◽  
Tracking Error ◽  
Robust Adaptive Control ◽  
Delay Systems ◽  
Time Varying ◽  
Triangular Form ◽  
Time Varying Delay ◽  
Robust Adaptive ◽  
Error Dynamics ◽  
Varying Delay

We present adaptive neural control design for a class of perturbed nonlinear MIMO time-varying delay systems in a block-triangular form. Based on a neural controller, it is obtained by constructing a quadratic-type Lyapunov-Krasovskii functional, which efficiently avoids the controller singularity. The proposed control guarantees that all closed-loop signals remain bounded, while the output tracking error dynamics converge to a neighborhood of the desired trajectories. The simulation results demonstrate the effectiveness of the proposed control scheme.

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