This paper discusses the stabilization problem for single-input discrete-time planar switched systems. We establish necessary and sufficient conditions for the stabilization of planar switched systems. A series of linear inequalities are presented for describing the set of all common quadratic Lyapu
Stabilization of planar switched systems
โ Scribed by Daizhan Cheng
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 254 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0167-6911
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โฆ Synopsis
This paper considers the problem of stabilization of single-input planar switched systems. We assume the switching law is observable, a formula is presented, which provides a necessary and su cient condition for the system to be quadratically stabilizable. A set of linear inequalities are given to describe the set of all quadratic Lyapunov functions. The solvability and the control design technique are clearly described in a straightforward computation algorithm.
๐ SIMILAR VOLUMES
This paper solves the problem of finding an optimal feedback control ensuring the maximal rate of convergence of system solutions to the origin for a general class of planar control systems including switched, bilinear systems and ones described by differential inclusions, etc. The prescribed contro