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This paper proposes a novel adaptive fuzzy dynamic surface control (DSC) method for an extended class of periodically disturbed strict-feedback nonlinear systems. The peculiarity of this extended class is that the control gain functions are not bounded a priori but simply taken to be continuous and with a known sign. In contrast with existing strategies, controllability must be guaranteed by constructing appropriate compact sets ensuring that all trajectories in the closed-loop system never leave these sets. We manage to do this by means of invariant set theory in combination with the Lyapunov theory. In other words, boundedness is achieved a posteriori as a result of stability analysis. The approximator composed of fuzzy logic systems and Fourier series expansion is constructed to deal with the unknown periodic disturbance terms.

Original languageEnglish
Pages (from-to)746-757
JournalIEEE Transactions on Fuzzy Systems
Issue number4
Publication statusPublished - 2020

    Research areas

  • Adaptive fuzzy control, dynamic surface control (DSC), invariant set theory, periodic disturbances

ID: 72212581