关键词: 离散混合系统, 混合观测器, 时滞, 指数收敛性

Abstract: An observers design methodology was proposed for a kind of discrete hybrid systems with state delay and location identification delay. The hybrid observer was made up of a location observer and a discrete time state observer. The location observer defined the current location of the hybrid system by Finite State Machine (FSM), while the discrete time state observer estimated the evolution of the discrete time state of the hybrid system by Luenberger observers. However, the information of system for each observer was usually not perfect. In order to solve this problem, a new signal generator was developed based on the proposed hybrid observer to combine two kinds of observers. An abundant condition enabling the Decision Function in the signal generator was given, and then the abundant condition to guarantee the exponential convergence of the hybrid observer was also provided. The hybrid observer identified the current location of the plant in a finite number of steps and converged exponentially to the discrete time state.. Finally, a simulation example was provided to illustrate the feasibility and the effectiveness of the proposed method.

Key words: discrete hybrid system, hybrid observer, time delay, exponential convergence