Robust Control under Constraints of Linear Systems with Markovian Jumps

被引：0
|
作者：
Benbrahim, Mohammed [1 ]
Kabbaj, Mohammed Nabil [1 ]
Benjelloun, Khalid [2 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci, Integrat Syst & Adv Technol Lab LISTA, BP 1796, Atlas 30000, Fez, Morocco
[2] Mohammed V Univ, Mohammadia Sch Engineers, Automat & Ind Informat Lab LAII, BP 765, Rabat 10090, Morocco
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2016年 / 14卷 / 06期
关键词：
Liner matrix inequalities; linear systems with Markovian jumps; robustness; saturation; stability; stabilizability;
D O I：
10.1007/s12555-015-0121-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The object of this paper is to study the problem of robust stabilizability for a class of continuous-time Linear Systems with Markovian Jumps (LSMJ) and saturated input. Sufficient conditions for stochastic stabilizability with constrained control input are given in terms of Linear Matrix Inequalities (LMIs). The approach gives a direct expression of the linear state feedback controller that respects the condition of saturation. Also, the robustness of these systems for four types of structural uncertainties: (1) matching conditions, (2) norm bounded, (3) value bounded and (4) linear combinations is treated. Finally, numerical examples are given to illustrate the usefulness of the proposed results.
引用
收藏
页码：1447 / 1454
页数：8
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