The present article provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive obtained for wider class of systems. presented stability used adaptive control design, where state vector plant extended by adjustable parameters.

The objective of this study is to design a robust direct model reference adaptive controller (DMRAC) for a nonlinear cardiovascular model over a range of plant parameters representing a variety of physical conditions. The direct adaptive controllers used in thisd study require the plant to be almost strictly positive real (ASPR) that is, for a plant to be controlled there must exist a feedback ...

Analytical analysis of the structure of fuzzy controllers is important as it provides insightful information and makes it possible to eliminate or reduce the trial-and-error effort in system design. Most results available in the literature only deal with the fuzzy controllers using up to three input variables (i.e. PI, PD, or PID type with the input space being three dimensional at most). In th...

Robust stabilization of a class of imperfectly known systems with time-varying time-delays via output feedback is investigated. The systems addressed are composed of a nonlinear nominal system influenced by nonlinear perturbations which may be time-, state, delayed state, and/or input-dependent. The output of the system is modelled by a nonlinear function, which may depend on the delayed states...

The design of a static output feedback fuzzy controller for nonlinear systems based on Takagi–Sugeno (T–S) fuzzy models is addressed. To avoid complex mathematical derivations and conservative results, a genetic algorithm (GA) is integrated with a linear matrix inequality (LMI) optimisation to seek the static output feedback gains that satisfy the Lyapunov stability inequalities with a decay ra...

Recently, Angeli1 has proposed the concept of incremental input-to-state stability, which can be viewed as an extension of the well-known input-to-state stability to the context of incremental stability. In this note, we show how the concept is connected with fading memory that has played a central role in the problem of uniformly approximating input-output nonlinear maps. Specifically, we show...