A new variable exponential discrete-time sliding mode control (DSMC) reaching law is proposed to suppress the chattering phenomenon and accelerate speed for switching function. The consists of two-phase different term. main effect first phase reduce steps. second can decrease magnitude quasi-sliding-mode domain (QSMD). Otherwise, disturbance term restrained by order difference function which al...

In this paper, we show that a linear discrete-time system subject to input saturation is semi-globally exponentially stabilizable via linear state and/or output feedback laws as long as the system in the absence of input saturation is stabilizable and detectable, and has all its poles located inside or on the unit circle. Furthermore, the semi-globally stabilizing feedback laws are explicitly c...

corrosion of reinforcing steel and other embedded metals is the main cause of severe deterioration in reinforced concrete structures which subsequently imposes adverse effects on ultimate and serviceability limit state performance of the whole structure. in this paper, a new corrosion detection method for reinforced concrete beams, based on wavelet analysis is presented. to evaluate the capabil...

A new result that allows the selection of sliding hyperplane coeecients in Observer-Based Discrete-Time Sliding Mode Control (OBDSMC) is presented. Selection of co-eecients is done by analyzing the tracking error dynamics inside the boundary layer-where the closed-loop system has a linear state feedback connguration-rather than assuming that the sliding function has already converged to zero. T...

A sliding mode control method is presented for linear multi-variable discrete-time systems, without introducing a discontinuous term to eliminate control chattering. Instead of a strong nonlinear function like switching introducing chattering problem in discrete-time, a linear control is designed around the sliding surface. Although not producing a strong acting control around the sliding surfa...