This paper presents an algorithm for determining the minimum dwell time constraint for switched linear H∞ fault detection filters. When applying switched systems, ensuring the stability is a crucial part, which can be guaranteed, when we switch slowly enough between the subsystems, more precisely the intervals between two consecutive switching, called dwell time, are large enough. The problem formulation is based on multiple Lyapunov functions and is expressed through a special form of linear matrix inequities (LMIs), which include a nonlinear term with the dwell time. This represents a multivariable time dependent optimization problem. To solve this special formulated LMIs, we propose an algorithm, called Td-iteration, which is a combination of the procedure of interval halving with an LMI solver. The results of the illustrative example suggest further benefits.

In this paper a comparative study on the use of extended and unscented Kalman filters for state estimation in nonlinear systems is presented. This is done to reveal the differences, and congruencies, in filters' synthesis in view of real plant implementation on embedded platforms. One of the objectives is to validate the usual performance measures of the filters, meant by state estimation, experimentally. Design features, such as the complexity of implementation and the sensitivity of the state initialization process on uncertain covariance information at regular filters startup are evaluated in a variety of real plant scenarios. A pilot plant of batch distillation process has been used for experimentation. © 2011 IEEE.