This paper addresses the problem of adaptive fuzzy tracking control for aclass of nonlinearly parameterized systems with unknown control directions.In this paper, the nonlinearly parameterized functions are lumped into the unknown continuous functionswhich can be approximated by using the fuzzy logic systems (FLS) in Mamdani type. Then, the Nussbaum-type function is used to de...

This paper proposes an uncertainty set update method for a class of discretetime nonlinearly parameterized systems. The method is based on the sequential application of a method proposed for linearly parameterized uncertain nonlinear systems in which the nonlinearly parameterized systems can be treated as linearly parameterized uncertain systems at each step. It is demonstrated that, given a pe...

In this note we address the problem of indirect adaptive (regulation or tracking) control nonlinear, input affine dissipative systems. It is assumed that supply rate, storage and internal dissipation functions may be expressed as nonlinearly parameterized regression equations where mappings (depending on unknown parameters) satisfy a monotonicity condition—this encompasses large class physical ...

A large class of problems in parameter estimation concerns nonlinearly parametrized systems. Over the past few years, a stability framework for estimation and control of such systems has been established. We address the issue of parameter convergence in such systems in this paper. Systems with both convex/concave and general parameterizations are considered. In the former case, sufficient condi...

In this paper, a methodology for Lyapunov-based adaptive PID control for different nonlinearly-parameterized series and parallel PID realizations is presented using simple first and second order dominant plants. The corresponding designs are based on using only the tracking error, its derivative, its integral, and the current value of the adaptive gains in order to update the PID gains. The con...