Based on a novel robust integral sliding mode surface (RISM), method of designing nonlinear robust sliding mode control is presented. Firstly, the closed-loop system under the sliding mode is proved to be asymptotically stable by using Lyapunov stability theories. Then variable structure control (VSC) is constructed to ensure the reachability of the sliding surface. Robustness of the closed-loo...

This paper discusses robust sampled-data control for uncertain systems with time-varying delay. We allow a time-varying sampling. When we use digital devices to control systems, we usually apply the zero-order control input. In this case, the closed-loop system with such a state feedback control input becomes a system with time-varying delays in state. We first give a sufficient condition for t...

We present a numerical method to analyse the relative stability of closed-loop single-input–single-output (SISO) dead-time systems on a given left complex half-plane for all positive delays. The well-known boundary crossing method for the imaginary axis is extended to a given vertical line stability boundary in the complex plane for these types of systems. The method allows us to compute the ch...

the use of micro-controllers in actuators provides extended flexibility for on-line data acquisition and sophisticated control implementation. however, attempts to utilize the excellent features of induction motor that is deemed by its strength, robustness, high torque, and relatively low cost in actuators face a fundamental control design challenge. the purpose of this paper is to introduce th...

this paper introduces a technique for controlling a class of uncertain chaotic systems using an adaptive fuzzy proportional-integrator-derivative (pid) controller with h∞ tracking performance. the purpose of this work is to achieve optimal tracking performance of the controller using backtracking search algorithm (bsa). bsa, which is a novel heuristic algorithm, has an easy structure with singl...

despite providing robustness, high-gain observers impose a peaking phenomenon, which may cause instability, on the system states. in this paper, an adaptive saturation is proposed to attenuate the undesirable mentioned phenomenon in high-gain observers. a real-valued and differentiable sigmoid function is considered as the saturating element whose parameters (height and slope) are adaptively tu...

This paper introduces a new class oj simple nonlinear PID-type controllers comprised of a sector-bounded nonlinear gain in cascade with a linear fixed-gain P, PD, PI, or PID controller. Three simple nonlinear gains are proposed: the sigmoidal function, the hyperbolic function, and the piecewise-linear function. The systems to be controlled are assumed to be modeled or approximated by second-ord...

This paper addresses the problem of robust pseudo state feedback stabilization of commensurate fractional order polytopic systems (FOS). In the proposed approach, Linear Matrix Inequalities (LMI) formalism is used to check if the pseudo state matrix eigenvalues belong to the FOS whatever the value of the uncertain parameters. The paper focuses particularly on the case 0 < < 1 as the stability r...

Improved results on receding horizon control (RHC), or model predictive control (MPC), for linear state-delay systems is proposed. The proposed RHC has guaranteed closed-loop stability for wider class of state-delay systems than exiting RHC for state-delay systems. The proposed RHC is obtained by minimizing a new cost function that includes three terminal weighting terms, which are closely rela...