Fuzzy control design for the trajectory tracking in phase plane

Based on the concept of sliding mode control, this paper designs a fuzzy logic control for a linear system to achieve the trajectory tracking in the phase plane. That is, the system's state (e, (e) over dot) is controlled to track the prespecified trajectory which is composed of several non-isoclinal segments. Each segment of the prespecified trajectory denotes the relation between the tracking error e and the error change (e) over dot in the corresponding region of the phase plane. In this paper, the prespecified trajectory is regarded as a sliding surface. A direct piecewise linear output formulation of the fuzzy logic controller is synthesized to achieve the hitting motion such that the trajectory tracking is completed region by region. We summarize the above analysis to be a fuzzy logic control design algorithm and give a practical example to illustrate its applicability.