Abstract
In this study, the problem of output-feedback tracking control for polynomial-fuzzy-model-based systems is studied. In this problem, the objective is to drive the system states of a non-linear plant to follow the states of a given reference model using a fuzzy controller. The design problem is formulated as a sum-of-squares (SOS) optimisation, which can be solved efficiently using semidefinite programming. Here, unlike previous SOS-based tracking control approaches, Lyapunov matrix depends on all of the system states, which decreases the conservatism of the stability criteria. Moreover, the SOS conditions are derived to guarantee the system stability subject to a given H∞ performance. Two simulation examples are given to demonstrate the effectiveness and benefits of the proposed method.
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