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- Title
Stabilisation bound of stochastic singularly perturbed systems with Markovian switching by noise control.
- Authors
Guoliang Wang; Chao Huang; Qingling Zhang; Chunyu Yang
- Abstract
This study considers the stabilisation-bound problem of stochastic singularly perturbed systems with Markovian jump parameters. The aim of this study is to determine whether a stochastic state-feedback controller referred to be noise control can stabilise such a system for any perturbation parameter ∈ &#8712 (0, ∈ ] with a predefined positive scalar ∈. By introducing an ∈-dependent Lyapunov function, new stabilisation method via an ∈-dependent controller only in the diffusion part is developed, whose condition independent of ∈ is within LMI framework. Based on this, more extensions to transition probability matrix with elementwise bounded uncertainties, being partially unknown and system state partially observable are considered, respectively. A numerical example is used to demonstrate the effectiveness and advantage of the proposed methods.
- Subjects
STOCHASTIC systems; PERTURBATION theory; MARKOV processes; LYAPUNOV functions; MATRICES (Mathematics); NOISE control
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2014, Vol 8, Issue 5, p367
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2013.0493