Proceedings ArticleDOI
Stochastic discrete higher order sliding mode control
Nalin Kumar Sharma,Satnesh Singh,Sivaramakrishnan Janardhanan,Deepak U. Patil +3 more
- pp 649-654
TLDR
The proposed definition and control scheme is validated through the simulation of a rectilinear plant and it is shown that a control input is designed for an uncertain stochastic system with partial state information such that stoChastic discrete higher-order sliding mode takes place.Abstract:
This paper defines the stochastic discrete higherorder sliding mode. A control input is designed for an uncertain stochastic system with partial state information such that stochastic discrete higher-order sliding mode takes place. The proposed definition and control scheme is validated through the simulation of a rectilinear plant.read more
Citations
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Journal ArticleDOI
Discrete-time higher-order sliding mode control of systems with unmatched uncertainty
Journal ArticleDOI
Sliding mode control-based linear functional observers for discrete-time stochastic systems
TL;DR: A new approach to design a SMC-based functional observer for discrete-time stochastic systems based on the Kronecker product approach is presented, which leads to a non-switching type of control, thereby eliminating the fundamental cause of chatter.
Journal ArticleDOI
Stochastic Sliding Mode Control for Parametric Uncertain Systems Using Functional Observer
TL;DR: This brief addresses the problem of sliding mode control (SMC) design using functional observer (FO) for discrete-time stochastic systems with norm-bounded parametric uncertainty in the system matrix by using FO-based approach for estimating SMC design.
Proceedings ArticleDOI
Functional observer design for linear discrete-time stochastic system
TL;DR: This paper presents a new method to design functional observers for linear discrete-time stochastic systems, based on the Kronecker product approach, with existence conditions and stability analysis of the functional observers.
Journal ArticleDOI
Adaptive Discrete-Time Higher Order Sliding Mode
TL;DR: A technique to design a DHOSM control with adaptive switching gains where the bound on the disturbance is considered to be unknown is presented.
References
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Proceedings ArticleDOI
Sliding Mode Control Based Anti-Synchronization Scheme for Hyperchaotic Lu Systems
TL;DR: A proportional integral switching surface is proposed to ensure the stability of the closed-loop error system in sliding motion and a sliding mode controller is designed that achieves anti-synchronization of master slave hyper chaotic Lu system.
Journal ArticleDOI
Single input sliding mode control for hyperchaotic Lu system with parameter uncertainty
TL;DR: In this article, a sliding mode controller (SMC) is proposed to investigate the stabilization, complete synchronization and adaptive synchronization of four dimensional hyperchaotic Lu systems with parameter uncertainty, and the proposed adaptation laws also ensure the convergence of uncertain parameters to their true value in all the cases.
Journal ArticleDOI
Discrete second‐order sliding mode control based on optimal sliding function vector for multivariable systems with input–output representation
TL;DR: In this article, a sliding function vector was calculated using linear matrix inequalities approach, which provided optimal values of the coefficients of the sliding function, which led to the reduction of the reachability phase.
Proceedings ArticleDOI
Stochastic variable structure control of discrete time LTI systems with bounded disturbances
TL;DR: In this article, the problem of stochastic variable structure control (SVSC) systems with bounded disturbances is considered and the corresponding SVSC strategies with complete and incomplete state information in presence of bounded disturbances are established.
Proceedings ArticleDOI
Continuity and order of continuity in discrete-time higher order sliding mode
TL;DR: A defined relationship between sliding order and (p,q)-continuity is defined as the order of the continuity and facilitates to define ideal sliding and real sliding in arbitrary order discrete-time sliding mode based on ( p,q-continuity concept.
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