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In previous studies on adaptive observers for linear time-varying (LTV) systems, the provided results were commonly based on a strong assumption that there exists a time-varying feedback gain matrix F(t) stabilizing the pair (A(t), C(t)). However, in general, it is a difficult task for LTV system (A(t), B(t), C(t)). In this note, we apply an improved high gain observer to the design of adaptive observers for a class of LTV systems with uncertain parameters. The proposed observer removes the difficulty of finding F(t) by using a time-varying high-gain matrix, where only a constant parameter and a constant matrix need to be designed. Through a transformation for the error dynamics, it shows that the estimated errors are globally exponentially convergent. Finally, an illustrative example is included to show the validity of the design approach.
Control and Decision Conference (CCDC), 2011 Chinese
Date of Conference: 23-25 May 2011