Optimization of exponential state estimates for positive discrete-time systems with delays and disturbances
Abstract
In this paper, we consider the problem of exponential state estimate for positive discrete-time system with time delays and disturbances. By using a state transformation, we reformulate a positive discrete-time system with time delays and disturbances to system without disturbances. By using optimization techniques, we derive the optimal exponential state estimate for the obtained systems (no noise), from which we also obtain the exponential state estimate for the original system. Some numerical examples are given to illustate the obtained theoretical results.