State Feedback with Memory for Constrained Switched Positive Linear Systems

Entropy

Jinjin Liu¹  Kanjian Zhang² 

[1] Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China;

关键词: switched linear systems;    positive systems;    bounded control;    delay;    linear programming;   

DOI  :  10.3390/e17052655

来源: mdpi

【 摘 要 】

In this paper, the stabilization problem in switched linear systems with time-varying delay under constrained state and control is investigated. The synthesis of bounded state-feedback controllers with memory ensures that a closed-loop state is positive and stable. Firstly, synthesis with a sign-restricted (nonnegative and negative) control is considered for general switched systems; then, the stabilization issue under bounded controls including the asymmetrically bounded controls and states constraints are addressed. In addition, the results are extended to systems with interval and polytopic uncertainties. All the proposed conditions are solvable in term of linear programming. Numerical examples illustrate the applicability of the results.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland