A new sliding surface for discrete second order sliding mode control of time delay systems (original) (raw)
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International journal of computer applications, 2012
In this work, a discrete second order sliding mode control with a new sliding function for a linear uncertain system with state delay is proposed. The systems are assumed to have structured mismatched time varying uncertainties. Firstly, a new sliding function include a present and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMI). Then, a robust discrete second order sliding mode controller with this new function is investigated to overcome the effect of time delay and uncertainties in the closed loop. A numerical example illustrates the effectiveness and the advantages of the proposed approach.
Discrete-time sliding mode control for state delay systems using nonlinear sliding surface
2011
This paper considers the nonlinear surface design for uncertain discrete time system with state delay. Using Lyapunov-Krasovskii method delay-independent conditions are derived for the stable sliding motion along the nonlinear sliding surface. The sliding surface is typically designed to obtain the high speed response without exhibiting the overshoot. This can be achieved by keeping the damping ratio initially small and as the trajectory approaches to the origin, damping ratio is made high to avoid the overshoot in response.
Stability Analysis of a Class of Second Order Sliding Mode Control Including Delay in Input
Mathematical Problems in Engineering, 2013
This paper deals with a class of second order sliding mode systems. Based on the derivative of the sliding surface, sufficient conditions are given for stability. However, the discontinuous control signal depend neither on the derivative of sliding surface nor on its estimate. Time delay in control input is also an important issue in sliding mode control for engineering applications. Therefore, also sufficient conditions are given for the time delay size on the discontinuous input signal, so that this class of second order sliding mode systems might have amplitude bounded oscillations. Moreover, amplitude of such oscillations may be estimated. Some numerical examples are given to validate the results. At the end, some conclusions are given on the possibilities of the results as well as their limitations.
Static Output Feedback Sliding Mode Control Design via an Artificial Stabilizing Delay
IEEE Transactions on Automatic Control, 2009
It is well known that for linear, uncertain systems, a static output feedback sliding mode controller can only be determined if a particular triple associated with the reduced order dynamics in the sliding mode is stabilisable. This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function. Effectively the reduced order sliding mode dynamics are stabilized by the introduction of this artificial delay.
Output feedback discrete-time sliding mode control for time delay systems
Iee Proceedings-control Theory and Applications, 2006
Several algorithms for discrete-time quasi-sliding mode control of time-delay systems with different delay and disturbance structures are proposed. Four different delay structures are considered. All the algorithms are based on multirate output feedback. Hence, they are more practical than state feedback and are less complex compared with observer-based control strategies.
A New Sliding Function for Discrete Predictive Sliding Mode Control of Time Delay Systems
International Journal of Automation and Computing, 2013
The control of time delay systems is still an open area for research. This paper proposes an enhanced model predictive discrete-time sliding mode control with a new sliding function for a linear system with state delay. Firstly, a new sliding function including a present value and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMIs). Then, using this dynamic function and the rolling optimization method in the predictive control strategy, a discrete predictive sliding mode controller is synthesized. This new strategy is proposed to eliminate the undesirable effect of the delay term in the closed loop system. Also, the designed control strategy is more robust, and has a chattering reduction property and a faster convergence of the system s state. Finally, a numerical example is given to illustrate the effectiveness of the proposed control.
International Journal of Robust and Nonlinear Control, 2010
In this paper, a robust stabilization problem for a class of linear time-varying delay systems with disturbances is studied using sliding mode techniques. Both matched and mismatched disturbances, involving time-varying delay, are considered. The disturbances are nonlinear and have nonlinear bounds. A sliding surface is designed and the stability of the corresponding sliding motion is analysed based on the Razumikhin Theorem. Then a static output feedback sliding mode control with time-delay is synthesized to drive the system to the sliding surface in finite time. Simulation results show the effectiveness of the proposed approach.
SECOND-ORDER TERMINAL SLIDING MODE CONTROL OF INPUT-DELAY SYSTEMS
Asian Journal of Control, 2008
This paper proposes a second-order terminal sliding mode control for a class of uncertain input-delay systems. The input-delay systems are firstly converted into the input-delay free systems and further converted into the regular forms. A linear sliding mode manifold is predesigned to represent the ideal dynamics of the system. Another terminal sliding mode manifold surface is presented to drive the linear sliding mode to reach zeros in finite time. In order to eliminate the chattering phenomena, a second-order sliding mode method is utilized to filter the high frequency switching control signal. The uncertainties of the systems are analysed in detail to show the effect to the systems. The simulation results validate the method presented in the paper.
International Journal of Control, 2009
In this paper, a robust stabilization problem for a class of linear time-varying delay systems with disturbances is studied using sliding mode techniques. Both matched and mismatched disturbances, involving time-varying delay, are considered. The disturbances are nonlinear and have nonlinear bounds which are employed for the control design. A sliding surface is designed and the stability of the corresponding sliding motion is analysed based on the Razumikhin Theorem. Then a static output feedback sliding mode control with time delay is synthesized to drive the system to the sliding surface in finite time. Conservatism is reduced by using features of sliding mode control and systems structure. Simulation results show the effectiveness of the proposed approach.
Sliding mode time-delay systems
Proceedings. 1996 IEEE International Workshop on Variable Structure Systems. - VSS'96 -, 1996
In this paper the sliding mode control of timedelay systems is considered. Time-delay sliding system stability is studied for the cases of some i,nformation about the delay and also lack of information. The sliding surface is delay-independent as for the traditional sliding surface and the reaching condition is achieved by applying a conventional discontinuous control.