Abstract
In this paper, the design of reduced-order and full-order interval observers for discrete-time system is investigated. First, the original system is transformed into a descriptor system with the ability to estimate the unknown noise of sensors. Next, a reduced-order interval observer design method for descriptor system is presented. The state matrix of the system is obtained by linear transformation, and a Sylvester equation is constructed to find the appropriate observer gain matrix. Then, an existing design method of full-order interval observer is introduced in this paper. Finally, a simulation example is given to demonstrate that the reduced-order interval observer has more accurate interval estimation results than the full-order interval observer.
Highlights
State feedback plays a significant role in practical system control and fault diagnosis, but some important system states can not be obtained directly due to the limitations of measurement means, so the study of state observers attracts many scholars
The main contributions of this paper are summarized as follows: (1) The reduced-order interval observer designed in this paper achieves accurate state interval estimations for a complex system, and the simulation results show it is better than the existing full-order interval observer design method
In this paper, a design method of reduced-order interval observers is proposed for discrete-time systems
Summary
State feedback plays a significant role in practical system control and fault diagnosis, but some important system states can not be obtained directly due to the limitations of measurement means, so the study of state observers attracts many scholars. In [19], a method of interval observer design is proposed for a class of descriptor systems which have time delays. A new Luenberger-like interval observer is developed for descriptor systems and achieves good results. To be specific, [27] adopts a reduced-order interval observer method to estimate the states of an induction machine system which is time-variant and gets excellent interval estimation results. A design method of reduced-order interval observer is presented, and the estimation results are compared with a full-order method. The main contributions of this paper are summarized as follows: (1) The reduced-order interval observer designed in this paper achieves accurate state interval estimations for a complex system, and the simulation results show it is better than the existing full-order interval observer design method.
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