H∞ sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities

Title:

H∞ sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities

Creator:

Li, Lingchun , Zhang, Guangming , Ou, Meiying , and Wang, Yujie

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d5896d6d-864a-4785-9914-adee96a536ff
uuid:d5896d6d-864a-4785-9914-adee96a536ff
doi:10.14736/kyb-2019-1-0134

Subject:

sliding mode control, Markov jump systems, and time-varying delays

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper is devoted to design H∞ sliding mode controller for continuous-time Markov jump systems with interval time-varying delays and general transition probabilities. An integral sliding surface is constructed and its reachability is guaranteed via a sliding mode control law. Meanwhile, a linearisation strategy is applied to treat the nonlinearity induced by general transition probabilities. Using a separation method based on Finsler lemma to eliminate the coupling among Lyapunov variables and controller parameters, sufficient conditions for asymptotically stochastic stability of sliding mode dynamics are formulated in terms of linear matrix inequalities. Finally, a single-link robot arm system is simulated to demonstrate the effectiveness of the proposed method.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

134-151

Source:

Kybernetika | 2019 Volume:55 | Number:1

Harvested from:

CDK

Metadata only:

false