On the problem of tracking for a class of linear systems with delays and sliding modes

Loukianov, Alexander G.; Castillo–Toledo, B.; Hernández, J.; Núñez-Perez, E.

doi:10.1080/0020717031000099092

Cited by 10 publications

(4 citation statements)

References 17 publications

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“…He shows that although the system is not asymptotically stabilizable to a given equilibrium solution using a time-invariant continuous feedback, it is strongly accessible and small-time locally controllable at any equilibrium and, hence, the system is asymptotically stabilizable to a desired equilibrium using time-invariant discontinuous feedback laws. In [2], the authors consider a linear system with delay in state and control with both matched and unmatched perturbations. They apply the block control technique to design a sliding mode regulator that guarantees asymptotic reference tracking for a class of linear delayed systems with disturbances.…”

Section: Introductionmentioning

confidence: 99%

The Control Design of Ship Formation with the Presence of a Leader

Miswanto

Pranoto

Mhammad

et al. 2015

IJRA

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Formation control is an important behavior for multi-agents system (swarm). This paper addresses the optimal tracking control problem for swarm whose agents are ships moving together in a specific geometry formation. We study formation control of the swarm model which consists of three agents and one agent has a role as a leader. The agents of swarm are moving to follow the leader path. First, we design the control of the leader with Pontryagin Maximum Principle. The control of the leader is designed for tracking the desired path. We show that the tracking error of the path of the leader tracing a desired path is sufficiently small. After that, geometry approach is used to design the control of the other. We show that the positioning and the orientation of each agent can be controlled dependent on the leader. The simulation results show to illustrate of this method at the last section of this paper.

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Section: Introductionmentioning

confidence: 99%

The Control Design of Ship Formation with the Presence of a Leader

Miswanto

Pranoto

Mhammad

et al. 2015

IJRA

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“…In this paper, a new sliding mode control strategy is proposed for robust stabilization of a class of uncertain This work was supported by CONACYT Mexico, through Project 46069Y. systems with delays in both the state and control variables, firstly in general form and then in Block Controllable form (BC form) Loukianov et al [2003]. The control vector is divided in three parts.…”

Section: Introductionmentioning

confidence: 99%

Robust Delay Block Stabilization via Integral Sliding Mode Control

Loukianov

Espinosa-Guerra

Castillo–Toledo

2008

IFAC Proceedings Volumes

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“…In order to achieve this, a special state representation must be used which will be referred to as the Block Controllable form (or BC-form), consisting of a set of controlled blocks. This approach has successfully been employed to stabilize linear systems (Dodds (1997)) including time delayed systems (Loukianov (2003)). Here, the possibility of applying the same method to design a predictor based sliding mode control, is investigated.…”

Section: Introductionmentioning

confidence: 99%