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In this paper, we investigate the design problem of the sliding mode control for uncertain singular time-delay systems. Based on the dependent-delay robust stability criterion, we give an integral-type surface and propose a delay-dependent sufficient condition such that the sliding mode dynamics restricted to the surface is regular, impulse free, robustly asymptotically stable for all admissible uncertainties...
The development of discrete sliding mode control for three-phase PWM converters with LCL filter is presented. This robust control method is investigated for the current control loop. Done in a discrete state space system, a feedforward feedback structure is utilized. A reference state trajectory and feedforward control in αβ coordinates, discrete integral SMC in dq coordinates are designed and analysed...
In this parer, we propose a robust variable structure control algorithm based on Takagi-Sugeno (T-S) fuzzy model for a class of nonlinear systems. We use a T-S fuzzy model with mismatched uncertainty and time-varying delay to approximately represent the nonlinear systems. An asymptotically stable sliding surface is designed by means of linear matrix inequality (LMI). The sliding surface can compensate...
In this paper we consider the flight-trajectory tracking problem of an input-disturbed non-minimum phase vertical takeoff and landing (VTOL) aircraft with delayed attitude measurements. By applying the first-order Pade?? approximation method to deal with the time delays, the problem is reduced to the output tracking of a new high-order non-minimum phase system without delay, whose dynamics are then...
In this paper, the design of variable structure control (VSC) for discrete systems with time-delays is considered. The original discrete system with time-delay is simplified to discrete system without time-delay. By analyzing the disadvantage of the exponential reaching law and the variable rate reaching law, an improved discrete reaching law for discrete-time variable structure control systems is...
In this paper we describe a method for bridging internet time delays in a teleoperation scenario. In the scenario, the sizes of the time delays is not only stochastic, but it is also large compared to the task execution time. The method proposed uses minimum jerk motion models to predict the input from the user a time into the future that is equivalent to the one-way communication delay. We present...
Discrete sliding mode current control of grid-connected PWM converters is designed and analyzed. A rather low switching frequency of 2.5 kHz is used. Main contributions of this work are the use of an advanced discrete system model, taking the PWM and computation delays directly into account, and comparison of different approaches for performance improvement. Moreover, the generation of the reference...
Oscillators with bounded delayed input are stabilized by a sliding mode control law. In the control law, sign function is replaced by high gain function to avoid chattering in the presence of time delay. A condition is developed to determine the gain. Simulation is conducted to show the effectiveness of the theoretical analysis.
In this paper, the variable structure control problem for a class of uncertain stochastic systems with time-varying delay is investigated. A new concept of the subordinated reachable property of the sliding motion is introduced. The variable structure control law is then proposed to ensure that the sliding motion is subordinated reachable. And a sufficient condition for mean square asymptotical stability...
A procedure for implementing a continuous controller, the output of which may vary within a continuous range of values, by means of a discrete controller, of which the output may only be given a discrete set of values, is presented. The theoretical development is based on the variable structure systems approach and is complemented with an analytical and experimental study of a position servomechanism...
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