State Estimation of Unknown Input Polynomial Systems: A Sum of Squares Approach

被引：0
|
作者：
Chibani, A. [1 ]
Chadli, M. [2 ]
Belhaouane, M. M. [1 ]
Braeik, N. Benhadj [1 ]
机构：
[1] Univ Carthage, Polytech Sch Tunisia EPT, LSA, Adv Syst Lab, BP 743, La Marsa 2078, Tunisia
[2] Univ Picardie Jules Verne, MIS EA 4290, Lab Modelisat Informat & Syst, F-80039 Amiens, France
来源：
2014 22ND MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2014年
关键词：
Nonlinear systems; unknown input observer; Lyapunov method; SOS; NONLINEAR UNCERTAIN SYSTEMS; OBSERVER;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we address the problem of state estimating for a class of nonlinear systems that can be described by polynomial models subject to unknown inputs. The proposed observer is developed to guarantee the asymptotic convergence of the estimation error using the Lyapunov method and numerical tools. Sufficient design conditions are given in Sum Of Squares (SOS) formulation with equalities constraints for both continuous and discrete time cases. Thus, the given design conditions are numerically solved via the SOSTOOLS software and a semi definite program (SDP) solver. Finally, illustrative examples are given to provide the effectiveness of the proposed methodology.
引用
收藏
页码：1225 / 1230
页数：6
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