The objective of this work is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control value set given by a convex polytope. This stabilization problem is solved based on a design of a feedback function restricted to the hyperbox and obtained by means of the CLF theory. By “normalizing” this feedback, the continuous stabilizer restricted to such control value set is obtained.
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© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
- Admissible function
- Lyapunov function