Switched interval observer for uncertain continuous-time systems

This paper addresses the problem of robust state estimation of switched uncertain systems subject to unknown disturbances. The proposed approach is based on switched interval observers which provide guaranteed lower and upper bounds allowing to evaluate the set of admissible values of the real state vector. The stability and cooperativity conditions of the proposed switched observer are expressed in terms of linear matrix inequalities (LMIs), witch have been established using a common quadratic Lyapunov function (CQLF). Estimation accuracy and robustness with respect to unknown disturbances is analyzed using H∞ objective with pole placement constraints. The proposed approach is illustrated by a numerical example.