Dynamic Sliding Mode Control Technique Research Articles

Robust stabilisation for a class of stochastic T–S fuzzy descriptor systems via dynamic sliding‐mode control

In this study, the authors research the problem of robust stabilisation for a class of stochastic Takagi–Sugeno (T–S) fuzzy descriptor systems via dynamic sliding mode control technique. In the majority of stochastic T–S fuzzy sliding-mode control approaches, two restrictive assumptions are required, one is every subsystem's input matrix is identical, the other is the product of the sliding-mode gain and the stochastic perturbation matrix must be zero. In order to eliminate two restrictive assumptions, we put forward a dynamic sliding-mode control technique for a class of stochastic T–S fuzzy descriptor systems. A criterion is established according to linear matrix inequalities, it guarantees that the stochastic T–S fuzzy descriptor systems with the mismatched uncertainty and disturbance are stochastically admissible and strictly robust dissipative. Moreover, a dynamic sliding-mode controller ensures the reachability of the system trajectories to the predefined sliding surface in finite time. In the end, the technique is applied to an inverted pendulum model to demonstrate the merit and effectiveness of the proposed methods.

Adaptive Dynamic Sliding Mode Control Laws for Attitude Stabilization of Flexible Spacecraft

In this paper, an adaptive dynamic sliding mode control technique is adopted to stabilize the attitude of flexible spacecraft with disturbance. The mathematical model of flexible spacecraft is constructed by the modified Rodrigues parameters. The adaptive control technique is applied to guarantee stabilization of flexible spacecraft with disturbance. By introducing a dynamic switching function, the chattering caused by sign function of the traditional sliding mode control law can be eliminated. Finally, by comparing with the adaptive control law proposed in [12], a numerical example is employed to illustrate the effectiveness of the designed control law.

Control of nonlinear non-minimum phase systems using dynamic sliding mode

A newly developed dynamic sliding mode control technique for multiple input systems is shown to be useful in the control of nonlinear, non-minimum phase systems where the zero dynamics have no finite escape time. The system may not be dynamic feedback linearizable. To achieve asymptotic performance, unbounded control may be necessary as determined by the zero dynamics. As long as the growth rate of the zero dynamics is no more than exponential, ultimate bounded performance can be achieved with finite control effort. Lagrange stability analysis of the closed-loop system resulting from the proposed variable structure scheme is performed. Essentially a thin layer is introduced around the sliding surface. Outside the layer, the sliding mode controller is used; inside the layer, the controller is designed to asymptotically (exponentially) stabilize the dynamic compensator. It is shown that there is a trade-off between control performance and control effort. The method is illustrated by the control of the Inverted Double Pendulum which is not dynamic-feedback linearizable and is non-minimum phase and thus constitutes a testing example for the proposed scheme.

Air-to-fuel ratio control of spark ignition engines using Gaussian network sliding control

This paper treats air-to-fuel ratio control of a spark ignition engine. A direct adaptive control method using Gaussian neural networks is developed to compensate transient fueling dynamics and the measurement bias of mass air flow rate into the manifold. The transient fueling compensation method is coupled with a dynamic sliding mode control technique that governs fueling rate when the throttle change is not rapid. The proposed controller is simple enough for online computation and is successfully implemented on an automotive engine having a multiport fuel injection system.

Dynamic Sliding Mode Control of Non-Minimum Phase Systems

A newly developed dynamic sliding mode control technique for multiple input systems which may be not dynamic feedback linearisable is extended to the control of nonlinear nonminimum phase systems (corresponding zero dynamics have no finite escape time). A thin layer is introdued around the sliding surface. Outside the layer, the sliding mode controller is used; inside the layer, the controller is designed to asymptotically (exponentially) stabilise the dynamic compensator. The method is illustrated by the control of the Inverted Double Pendulum.