In this paper, a design methodology for stabilising of a class of non-linear systems is presented. The non-linear plant is first approximated, by a Takagi-Sugeno fuzzy model. Subsequently, 'Parallel Distributed Compensators' (PDC) and 'Proportional Parallel Distributed Compensators' (PPDC) are designed to stabilise the system. A novel PPDC design with a more flexible controllable range for various coefficients of the compensator is proposed. By virtue of this, better solutions than those achieved by the existing approach can be obtained. Both compensators are applied to control an agile missile system, which is a typical complicated system with high non-linearity. Simulation studies show that the closed loop system is stable and the proposed PPDC are more superior to PDC.
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Er et al. (2006) studied this question.