Sliding Mode Control Using Novel Sliding Surfaces

Bandyopadhyay, B.; Fulwani, Deepak; Kim, Kyung-Soo

doi:10.1007/978-3-642-03448-0

Cited by 169 publications

(94 citation statements)

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“…For this purpose, we propose discrete-time sliding-mode (SM) control, which is well known to be efficient and robust regulation technique [13][14][15][16][17][18][19]. Since a proper choice of the switching plane is the key part of the design of SM controllers [20][21][22][23][24][25], in this work, we determine the plane parameters for a dead-beat scheme. In this way we obtain fast response to the changes in demand and the minimum stock level.…”

Section: Introductionmentioning

confidence: 99%

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Ignaciuk¹,

Bartoszewicz²

2011

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. In this paper we consider the problem of efficient control of inventory systems with perishable goods. In the analyzed setting the deteriorating stock at a distribution center used to fulfill unknown, time-varying demand is replenished with delay from a supply source. The challenging issue is to achieve the high service level with minimum costs when the replenishment orders are procured with lead-time delay spanning multiple review periods. On the contrary to the typical heuristic approaches, we apply formal methodology based on discrete-time sliding-mode (SM) control. The proposed SM controller with the sliding plane selected for a dead-beat scheme ensures that the maximum service level is obtained in the system with arbitrary delay and any bounded demand pattern. In order to account for the supplier capacity limitations in the systems with input constraints, we also develop an alternative control strategy based on reaching law. Both controllers achieve a given service level with smaller holding costs and reduced order-to-demand variance ratio as compared to the classical order-up-to policy.

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Section: Introductionmentioning

confidence: 99%

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Ignaciuk¹,

Bartoszewicz²

2011

Bulletin of the Polish Academy of Sciences: Technical Sciences

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“…Definition 1 (Sliding mode) [18] . Sliding mode, also called sliding motion, can be defined as the evolution of the states of a system confined to a specified sub-manifold of the state space with stable dynamics.…”

Section: Problem Statementmentioning

confidence: 99%

A Contractive Sliding- mode MPC Algorithm for Nonlinear Discrete- time Systems

Zhao

Ding

2013

Int. J. Autom. Comput.

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This paper investigates a sliding-mode model predictive control (MPC) algorithm with auxiliary contractive sliding vector constraint for constrained nonlinear discrete-time systems. By adding contractive constraint into the optimization problem in regular sliding-mode MPC algorithm, the value of the sliding vector is decreased to zero asymptotically, which means that the system state is driven into a vicinity of sliding surface with a certain width. Then, the system state moves along the sliding surface to the equilibrium point within the vicinity. By applying the proposed algorithm, the stability of the closed-loop system is guaranteed. A numerical example of a continuous stirred tank reactor (CSTR) system is given to verify the feasibility and effectiveness of the proposed method.

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“…The structure of SMC involved a design of a sliding surface which needs to be stable and development of an optimal control law (Alsumiri,155 2013). Achieving optimal control law design allows a finite time achievement of the operating point to reach a predetermined sliding surface (Bandyopadhyay, 2009). The convergence of the control variable is guaranteed by introducing a constant gain which also, compensates the uncertainties of the control system (Alsumiri, 2016), (Gonzalez, 2012), (Levant, 2007).…”

Section: Introductionmentioning

confidence: 99%