Abstract In this paper, a new robust controller based on geometric homogeneity and adaptive integral sliding mode is proposed for a class of second order systems. The upper bound of the system disturbances is not required. Fully unknown parameters have been considered in the described model and its finite–time convergence to zero equilibrium point is proved. Moreover, the controller is develope...

The limited input is constraint condition that prevails in actual physical system. The saturated that is caused by limited input is nonlinear factor that need to be considered in the design of control system. The input of control system is limited by saturation in many past research papers. The limited input Nussbaum gain control algorithm is proposed in this paper. On the basis of limited gain...

This paper introduces a neural network based model reference adaptive control architecture that allows adaptation in the presence of saturation. The given plant is approximately feedback linearized, with adaptation used to cancel any matched uncertainty. A nested saturation based reference model is used. This law allows the incorporation of magnitude actuator saturation and has useful small gai...

For a class of linear dynamical systems with unknown parameters a direct model reference adaptive control framework is developed that provides stable adaptation in the presence of input constraints. The proposed design methodology, termed “positive μ-modification”, protects the control law from actuator position saturation. Moreover, the design is Lyapunov based and ensures global asymptotic tr...

In this paper, we propose a design method of a static anti-windup compensator for systems with input magnitude and rate saturations. First, we present an anti-windup controller for systems with input magnitude and rate saturations. Then, we show that the design problem of the anti-windup compensator that guarantees the local stability of the closed-loop system against saturation nonlinearities ...

This paper describes an approximated-scalar-sign-function-based anti-windup digital control design for analog nonlinear systems subject to input constraints. As input saturation occurs, the non-smooth saturation constraint is modeled with the approximated scalar sign function which is a smooth nonlinear function. The resulting nonlinear model is further linearized at any operating point with th...

In this paper, control of uncertain fractional-order financial chaotic system with input saturation and external disturbance is investigated. The unknown part of the input saturation as well as the system's unknown nonlinear function is approximated by a fuzzy logic system. To handle the fuzzy approximation error and the estimation error of the unknown upper bound of the external disturbance, f...

For a class of uncertain nonlinear dynamical systems in Brunovsky form a dynamic inversion (DI) based adaptive control framework is developed that provides stable adaptation in the presence of input constraints. The proposed design methodology, termed “positive μ-modification”, protects the control law from actuator position saturation. Moreover, the design is Lyapunov based and ensures bounded...

For stabilization of linear systems subject to input saturation, there exist four different approaches of low-gain design all of which are independently proposed in the literature, namely direct eigenstructure assignment, H2 and H∞ algebraic Riccati equation (ARE) based methods, and parametric Lyapunov equation based method. We show here all these methods are rooted in and can be unified under ...

In this paper we design a fuzzy adaptive internal model control for the speed varying problem of a PMSM. The PMSM under the vector control model is studied. The designing of the fuzzy adaptive IMC involves three steps. First a standard internal model controller is designed. This model has high input saturation. A modified IMC is designed which reduces the input saturation. The variation of iner...