An Adaptive Sliding Mode Control (ASMC) scheme is proposed for the synchronization of two chaotic nonlinear systems. Due to sliding mode control methodology, a sliding surface is determined and the control law (synchronization method) is established. The proposed method can force an uncertain chaotic dynamic (slave dynamic) to trace another chaotic dynamic (master dynamic) without oscillating v...

−This study mainly focuses on the development of a total sliding-mode control (TSMC) strategy for a Chua’s chaotic circuit. The TSMC scheme, which is insensitive to uncertainties including parameter variations and external disturbance in the whole control process, comprises the baseline model design and the curbing controller design. In the baseline model design a computed torque controller is ...

To handle the state estimation of a nonlinear system perturbed by a scalar disturbance distributed by a known nonlinear vector, we incorporate a sliding mode term into a nonlinear observer to realise a robust nonlinear observer. By linking the observability of the unknown input to the output measurement, the so-called matching condition is avoided. The measurable output estimation error is the ...

This paper considers a sliding mode control of multivariable nonlinear systems with time-varying delay. In our previous work, a sliding mode control design method combining with the finite spectrum assignment has been developed. In the design method, the sliding surface is constructed by using a coordinates transformation containing past values of the state variables. In most practical systems,...

Abstract: Presented is a method of continuous sliding mode control design to provide for the second-order sliding mode on the selected sliding surfaces in a three-loop control system, where two outer-loop virtual control signals must be smooth enough to be tracked in the inner loops. The control law in the vicinity of the sliding surface is a nonlinear dynamic feedback that in absence of unknow...

When a flow, discontinuous across a switching surface, points ‘inward’ so one cannot leave, it induces a unique flow within the surface, called the sliding mode. When several such surfaces intersect, one would seek a flow within the intersection, but some difficulties arise. We explore here the extent of the ambiguity involved in this situation and then show that for a certain form of ‘natural ...

A skyhook surface sliding mode control method was proposed and applied to the control on the semi-active vehicle suspension system for its ride comfort enhancement. A two degree of freedom dynamic model of a vehicle semi-active suspension system was given, which focused on the passenger’s ride comfort performance. A simulation with the given initial conditions has been devised in MATLAB/SIMULIN...

In this paper, a discrete-time frequency-shaped sliding mode control (FSSMC) is proposed for audio-vibration rejection in Hard Disk Drives (HDDs). Such vibrations cause significant degradation of the servo performance and have become a major concern in the HDD industry. The proposed FSSMC involves the frequency-shaped sliding surface design based on peak filters, aiming to provide frequency dep...

Abstract—This paper presents a robust control algorithm based on adaptive proportional-integral-derivative (PID) controller and sliding mode control (SMC) approach. In this paper, the drawbacks of SMC are compensated by adopting an adaptive PID continuous second order sliding mode control approach (APID2SMC) with PID sliding surface. The stability of the system is guaranteed in the sense of Lya...

In this paper, a chattering free sliding mode control (SMC) for a robot manipulator including PID part with a fuzzy tunable gain is designed. The main idea is that the robustness property of SMC and good response characteristics of PID are combined with fuzzy tuning gain approach to achieve more acceptable performance. For this purpose, in the first stage, a PID sliding surface is considered su...