1. Control Synthesis of Markovian Jump Nonlinear System via A New Fuzzy Switching Controller
- Author
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Xiangpeng Xie, Dongting Wang, and Ju H. Park
- Subjects
Scheme (programming language) ,0209 industrial biotechnology ,Computer science ,Control (management) ,Process (computing) ,02 engineering and technology ,Fuzzy control system ,Fuzzy logic ,Inverted pendulum ,Nonlinear system ,020901 industrial engineering & automation ,Control theory ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,computer ,computer.programming_language - Abstract
The task of control synthesis of Markovian jump nonlinear system is well investigated through giving a new fuzzy switching controller aiming at easing the conservatism than before. Compared with previous results, less conservative stabilization conditions for the considered discrete-time Markovian jump fuzzy system can be gained which lead to wider application of the proposed theoretical method. In the analysis and derivation process, some important information hidden in the fuzzy basis function is well utilized and thus a new scheme of fuzzy switching control law is presented to reduce the conservatism that is caused by ignoring those important information hidden in the fuzzy basis function in the literature. Finally, the validity and advantage of the proposed method over the recent one is also demonstrated by controlling an inverted pendulum model.
- Published
- 2019
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