Journal ArticleDOI
Sliding Mode Control for Nonlinear Stochastic Singular Semi-Markov Jump Systems
TLDR
The proposed sliding mode control law is designed to attenuate the influences of uncertainty and nonlinear term in a finite-time region and the practical system about dc motor model is given to verify the validity of the proposed method.Abstract:
This paper deals with the problem of sliding mode control design for nonlinear stochastic singular semi-Markov jump systems (S-MJSs). Stochastic disturbance is first considered in studying S-MJSs with a stochastic semi-Markov process related to Weibull distribution. The specific information including the bound of nonlinearity is known for the control design. Our attention is to design sliding mode control law to attenuate the influences of uncertainty and nonlinear term. First, by the use of the Lyapunov function, a set of sufficient conditions are developed such that the closed-loop sliding mode dynamics are stochastically admissible. Then, the sliding mode control law is proposed to ensure the reachability in a finite-time region. Finally, the practical system about dc motor model is given to verify the validity of the proposed method.read more
Citations
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Journal ArticleDOI
Event-Triggered Fuzzy Bipartite Tracking Control for Network Systems Based on Distributed Reduced-Order Observers
TL;DR: It is proved that the designed method can guarantee that all the signals in the closed-loop systems are bounded in probability, and the distributed consensus tracking errors can converge to a small neighborhood of the origin via the Lyapunov stability theory.
Journal ArticleDOI
Adaptive Event-Triggered SMC for Stochastic Switching Systems With Semi-Markov Process and Application to Boost Converter Circuit Model
TL;DR: The aim of this work is to design an appropriate SMC law based on an adaptive event-triggered communication scheme such that the resulting closed-loop system could realize stochastic stability and reduce communication burden.
Journal ArticleDOI
Guaranteed cost finite‐time control for semi‐Markov jump systems with event‐triggered scheme and quantization input
Guangdeng Zong,Hangli Ren +1 more
Journal ArticleDOI
Adaptive Fuzzy Tracking Control for a Class of Uncertain Switched Nonlinear Systems with Multiple Constraints: A Small-Gain Approach
TL;DR: The adaptive fuzzy tracking controller with only three adaptive laws is presented on the basis of backstepping technique, common Lyapunov function, and small-gain approach to overcome the difficulty existing in tracking the dead-zone output with unknown control direction.
Journal ArticleDOI
ℒ₁ Control of Positive Semi-Markov Jump Systems With State Delay
TL;DR: A switching controller via gain matrix decomposition is designed to achieve positivity and stochastic stabilization with a prescribed $\mathscr {L}_{1}$ -gain performance, which can be solved with the help of linear programming approach.
References
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Stochastic differential equations and applications
TL;DR: In this paper, the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form, are discussed, as well as a reference source for pure and applied mathematicians, statisticians and probabilists, engineers in control and communications, and information scientists, physicists and economists.
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TL;DR: This book is referred to read because it is an inspiring book to give you more chance to get experiences and also thoughts and this is not only this control systems of variable structure.
Journal ArticleDOI
Observer-based adaptive sliding mode control for nonlinear Markovian jump systems
TL;DR: An integral sliding mode surface and observer-based adaptive sliding mode controller is designed such that the MJSs are insensitive to all admissible uncertainties and satisfy the reaching condition and the stochastic stability of the closed-loop system can be guaranteed.
Journal ArticleDOI
Technical communique: Sliding mode control with bounded L 2 gain performance of Markovian jump singular time-delay systems
Ligang Wu,Xiaojie Su,Peng Shi +2 more
TL;DR: This paper investigates the problem of sliding mode control (SMC) of Markovian jump singular time-delay systems and proposes a delay-dependent bounded real lemma and an SMC law to improve the transient performance of the SMC system.
Journal ArticleDOI
Output feedback control of Markov jump linear systems in continuous-time
TL;DR: This paper addresses the dynamic output feedback control problem of continuous-time Markovian jump linear systems with an LMI characterization, comprising all dynamical compensators that stabilize the closed-loop system in the mean square sense.