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Piecewise Controller Design for Affine Fuzzy Systems

This post is an excerpt from the journal ISA Transactions.  All ISA Transactions articles are free to ISA members, or can be purchased from Elsevier Press.

Abstract: This paper studies the problem of state feedback controller design for a class of nonlinear systems, which are described by continuous-time affine fuzzy systems. A convex piecewise affine controller design method is proposed based on a new dilated linear Control panel of a power plantmatrix inequality (LMI) characterization, where the system matrix is separated from Lyapunov matrix such that the controller parametrization is independent of the Lyapunov matrix. In contrast to the existing work, the derived stabilizability condition leads to less conservative LMI characterizations and much wider scope of the applicability. Furthermore, the results are extended to H1 state feedback synthesis. Finally, two numerical examples illustrate the superiority and effectiveness of the new results.

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