Proceedings ArticleDOI
Variable structure control of discrete-time stochastic systems
Feng Zheng,M. Cheng,Weibing Gao +2 more
- pp 1830-1835
TLDR
In this paper, the problem of variable structure control of stochastic systems with complete and incomplete state information is considered and a general design procedure of SVSC systems is presented, and a comparison between SVSC and linear quadratic Gaussian (LQG) systems is given.Abstract:
The problem of variable structure control of stochastic systems is proposed and the corresponding variable structure control strategies with complete and incomplete state information are established. The concepts of stochastic sliding mode and sliding motion band are introduced, which may be regarded as the basic characteristics of stochastic variable structure control (SVSC) systems. Robustness of (SVSC) systems is considered and a general design procedure of SVSC systems is presented. A comparison between SVSC and linear quadratic Gaussian (LQG) systems is given. >read more
Citations
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Book ChapterDOI
On sampled data variable structure control systems
TL;DR: In this article, it is shown that the motion of sampled-data variable structure control systems can be divided into three phases, namely reaching phase, switching phase and chattering phase.
Proceedings ArticleDOI
Robust Discrete-time Sliding Mode Control Algorithm for TCP Networks Congestion Control
TL;DR: A new active queue management (AQM) algorithm based on discrete- time sliding mode control (DSMC) theory is proposed and an asymptotically stable sliding surface is designed by linear matrix inequality (LMI) which compensates for the disadvantageous effect of uncertainties.
Proceedings ArticleDOI
The Output Feedback Variable Structure Control for Discrete-Time Systems with Uncertainties and Time Delay
TL;DR: In this paper, an output feedback variable structure control for discrete-time systems with uncertainties and time-delay is proposed, which can compensate for the effect of mismatched parameter uncertainties in system state.
Journal ArticleDOI
Adaptive observer-based non-linear stochastic system control with sliding mode schemes
TL;DR: The reconstructed states are employed to construct a sliding mode controller for the stabilization control of complex non-linear systems and the convergence of the observer and the globally asymptotical stability of the controller are analysed in terms of stochastic Lyapunov stability.
Journal ArticleDOI
N-sigma stability of stochastic systems with sliding mode control
TL;DR: Sliding mode control for discrete time systems with stochastic noise in their input channel is discussed, resulting in a bounded stability in probability of the quasi sliding mode, which is referred to as the N-sigma bounded stability.
References
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Variable structure systems with sliding modes
TL;DR: Design and analysis forVariable structure systems are surveyed in this paper and it is shown that advantageous properties result from changing structures according to this switching logic.
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A course in probability theory
TL;DR: This edition of A Course in Probability Theory includes an introduction to measure theory that expands the market, as this treatment is more consistent with current courses.
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Sliding mode control of a discrete system
TL;DR: In this paper, a stable discrete sliding mode control insensitive to the choice of sampling interval and not yielding chattering is presented, which is based on a discrete Lyapunov function and a sufficient condition of the control gain to make the system stable is given.
Journal ArticleDOI
The invariance conditions in variable structure systems
TL;DR: In this paper, the authors discuss the possibility of lowering a system sensitivity by the application of a sliding mode, which can be obtained by means of control functions which on certain hypersurfaces have first order discontinuities in a state space.
Journal ArticleDOI
On the stability of discrete-time sliding mode control systems
TL;DR: In this article, the stability of discrete-time sliding mode control systems is investigated and a new sliding mode condition is suggested, and it is shown that the control must have upper and lower bounds.