Journal of Professor & SPaC member

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Last Updated : 03/2016
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  • \ mathcal {H} _ {2} state-feedback control for LPV systems with input saturation and matched disturbance

    Bum Yong Park, Sung Wook Yun, PooGyeon Park

    Nonlinear Dynamics

    Abstract This paper proposes a controller design for linear parameter-varying (LPV) systems with input saturation and a matched disturbance. On the basis of the feedback gain matrix K(θ(t)) and the Lyapunov function V(x(t)), three types of controllers are suggested under H2 performance conditions. To this end, the conditions used for designing the H2 state-feedback controller are first formulated in terms of parameterized linear matrix inequalities (PLMIs). They are then converted into linear matrix inequalities (LMIs) using a parameter relaxation technique. The simulation results illustrate the effectiveness of the proposed controllers.
  • Further enhancement of stability and stabilisability margin for Takagi-Sugeno fuzzy systems

    JW Ko, PooGyeon Park

    IET Control Theory & Applications

    Abstract The authors consider in this study the problem of reducing conservatism in stability and stabilisation margin of continuous-time Takagi?Sugeno (T?S) fuzzy systems, where the fuzzy weighting functions are assumed to be differentiable and their ranges of variation are assumed to be bounded by some parameters. To compensate for the latter constraint, the conventional quadratic relaxation technique is appropriately modified and the free weighting matrix for the former assumption is further indexed in accordance with the fuzzy weighting functions to derive more degrees of freedom. By applying the relaxed free weighting matrices into the resulting quadratic summation representation and by utilising the linearity of the constraints on the time-derivative of the membership functions, better performance behaviour can be achieved over existing works, which is demonstrated theoretically and by some examples.