This work presents a technique for obtaining a bounded continuous feedback control function which stabilizes a linear system in a certain region. If the open-loop system has no eigenvalues with positive real part, the region of attraction of the resulting closed-loop system is all 1L, i.e., the feed
Controllable regions of linear systems with bounded inputs
β Scribed by Ting-shu Hu; Li Qiu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 427 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0167-6911
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β¦ Synopsis
It is known that the controllable region of a general unstable system with bounded control is the Cartesian product of the controllable region of its subsystem with antistable modes and that of its subsystem with stable and marginally stable modes. While the controllable region of a system with only stable and marginally stable modes is well known to be the whole state space, that of an antistable system is studied in this paper. A necessary and sufficient condition for a state of an antistable system to be controllable is given. The boundary of the controllable region is characterized.
π SIMILAR VOLUMES
In this paper we present a technique to stabilize discrete-time linear systems with bounded inputs. Based on optimal control techniques, we construct a continuous bounded state feedback which leads to global asymptotic stabilization for the case where the open-loop system has all its eigenvalues wit
Discontinuous, time-invariant controllers have been recently proposed in the literature as an alternative method to stabilize nonholonomic systems. These control laws are not continuous at the origin and although they provide exponential rates of convergence, they may use signiΓΏcant amount of contro