A robust estimation approach for uncertain systems with perturbed measurements

作者：Bolajraf Mohamed^*; Ait Rami Mustapha

来源：International Journal of Robust and Nonlinear Control, 2016, 26(4): 834-852.

DOI：10.1002/rnc.3340

• robust interval observers
• dilatation observers
• uncertain systems
• lossy measurements
• linear programming

This paper deals with state estimation problem for uncertain continuous-time systems. A numerical treatment is proposed for designing interval observers that ensures guaranteed upper and lower bounds on the estimated states. In order to take into account possible perturbations on the system and its outputs, a new type of interval observers is introduced. Such interval observers consist of two coupled general Luenberger-type observers that involve dilatation functions. In addition, we provide an optimality criterion in order to find optimal interval observers that lead to tight interval error estimation. The proposed existence and optimality conditions are expressed in terms of linear programming. Also, some illustrative examples are given.

• 出版日期2016-3-10