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Design of control invariant sets of planar systems |
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| Authors: | Daizhan Cheng Yupeng Qiao Wei Ni |
| Affiliation: | 1. The Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China 2. College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China |
| Abstract: | Control invariant sets play a key role in model predictive control. Using Lyapunov function, a technique is proposed to design control invariant sets of planar systems in a precise form. First, it is designed for a linear system in Brunovsky canonical form. Then, the result is extended to general linear systems. Finally, the nonlinear control systems are considered, and some sufficient conditions and design techniques are also obtained. Numerical examples are presented to illustrate the proposed design methods. |
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