Abstract
This paper proposes a new state estimation using grey predictor in discrete-time system whose relative degree is more than one. To avoid using the differential operation, we apply the grey predictor of the grey system to design the new state observer. Based on the design of the new state observer, the state of the discrete-time system could be estimated accurately. Besides, the new state observer could incorporate the pole-assignment method to effectively stabilize the discrete-time system whose relative degree is more than one. a numeric example is used to demonstrate the success of the developed state observer.
