Linear time-invariant discrete digital plant, with no restrictions on the form of the state equation and the number of controls, is considered. The stabilizing state feedback control algorithm is developed by Lyapunov's second method leading to the variable structure system with sliding modes. Essentially the control algorithm drives the system from an arbitrary initial state to a prescribed so...

A sub-optimal algorithm second-order sliding mode controller (SOSMC) was presented for a synchronous reluctance motor (SynRM) speed drive. SOSMC is an effective tool for the control of uncertain nonlinear systems since it overcomes the main chattering drawback of conventional sliding mode control. The practical implementation of SOSMC has simple control laws and assures an improvement in slidin...

In this paper, we propose a parameter selection method by using the genetic algorithms in the sliding mode control of the variable structure system. The proposed method can efficiently choose the appropriate gain parameters based on a proposed fitness function to increase the speed of system response in the reaching phase and reduce the chattering in the sliding phase so that a high performance...

Maximum 200 words) As an emerging effective approach to nonlinear robust control, simplex sliding mode control demonstrates some attractive features not possessed by the conventional sliding mode control method, from both theoretical and practical points of view. However, no systematic approach is currently available for computing the simplex control vectors in nonlinear sliding mode control. I...

In this paper, an optimal adaptive sliding mode controller is proposed for anti-synchronization of two identical hyperchaotic systems. We use hyperchaotic complex T-system for master and slave systems with unknown parameters in the slave system. To construct the optimal adaptive sliding mode controller, first a simple sliding surface is designed. Then, the optimal adaptive sliding mode controll...

The sliding window concept is a common method for computing a profile of a document with unknown structure. This paper outlines an experiment with stylometric word-based feature in order to determine an optimal size of the sliding window. It was conducted for a vocabulary richness method called ’average word frequency class’ using the PAN 2015 source retrieval training corpus for plagiarism det...

—This paper presents an approach to systematically design sliding mode control and manifold to stabilize nonlinear uncertain systems. The objective is also accomplished to enlarge the inner bound of region of attraction for closed-loop dynamics. The method is proposed to design a control that guarantees both asymptotic and finite time stability given helped by (bilinear) sum of squares programm...

Sliding mode control (SMC) is an effective method of controlling systems with uncertainties which satisfy the socalled matching condition. However, how to effectively handle mismatched uncertainties of systems is still an ongoing research issue in SMC. Several methods have been proposed to design a stable sliding surface even if mismatched uncertainties exist in a system. Especially, it is pres...

In this paper design of reduced order switching function for a discrete-time uncertain nonminimum phase system in special coordinate basis form is proposed. The sliding mode control with this method guarantees the asymptotic stability of all states of system in presence matched disturbance. This problem is further extended to the tracking problem of discrete time uncertain nonminimum phase syst...

In this paper, using the State Dependent Riccati Equation (SDRE) method, we propose a Robust Optimal Integral Sliding Mode Controller (ROISMC) to guarantee an optimal control law for a quadrotor which has become increasingly important by virtue of its high degrees of manoeuvres ability in presence of unknown time-varying external disturbances and actuator fault. The robustness of the controller...