An optimal control approach for hybrid motion/force control of coordinated multiple nonholonomic mobile manipulators using neural network

Author(s):  
Komal Rani ◽  
Naveen Kumar
2014 ◽  
Vol 20 (2) ◽  
pp. 707-716 ◽  
Author(s):  
Ding Wang ◽  
Derong Liu ◽  
Hongliang Li ◽  
Hongwen Ma ◽  
Chao Li

2021 ◽  
Vol 11 (5) ◽  
pp. 2312
Author(s):  
Dengguo Xu ◽  
Qinglin Wang ◽  
Yuan Li

In this study, based on the policy iteration (PI) in reinforcement learning (RL), an optimal adaptive control approach is established to solve robust control problems of nonlinear systems with internal and input uncertainties. First, the robust control is converted into solving an optimal control containing a nominal or auxiliary system with a predefined performance index. It is demonstrated that the optimal control law enables the considered system globally asymptotically stable for all admissible uncertainties. Second, based on the Bellman optimality principle, the online PI algorithms are proposed to calculate robust controllers for the matched and the mismatched uncertain systems. The approximate structure of the robust control law is obtained by approximating the optimal cost function with neural network in PI algorithms. Finally, in order to illustrate the availability of the proposed algorithm and theoretical results, some numerical examples are provided.


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