101. Fixed-time control for uncertain multi-robot systems with prescribed performance
- Author
-
Baoyong Zhao, Yixin Yin, Zheng Liu, Jie Dong, and Yuling Li
- Subjects
0209 industrial biotechnology ,Computer science ,Control (management) ,Mode (statistics) ,Robot manipulator ,Class (philosophy) ,02 engineering and technology ,Directed graph ,law.invention ,020901 industrial engineering & automation ,Transformation (function) ,Invertible matrix ,Control theory ,law ,Bounded function ,0202 electrical engineering, electronic engineering, information engineering ,Trajectory ,020201 artificial intelligence & image processing - Abstract
In this paper, a fixed-time control strategy for a class of uncertain multi-robot systems with prescribed performance under a directed graph is proposed. The leader is given as a reference trajectory and every follower is descriebed as a n-Degree of Freedom robot manipulator. The dynamic model of the robot manipulator is devided into the nominal part and the uncertain part. A Radial Basis Function neural network is used to approximate the uncertain part. By using an error transformation, the prescribed performance constrained system is transformed into an "unconstrained" one, and the prescribed performance control with nonsingular sliding mode is proposed to guarantee that the sliding mode and the transformed error are uniformly ultimately bounded and converge to a small neighborhood within a fixed time. Simulation studies are given to validate the effectiveness of our proposed control strategy.
- Published
- 2020