An Improved Criterion for the Global Asymptotic Stability of 2-D Discrete State-Delayed Systems with Saturation Nonlinearities

Kokil, Priyanka

doi:10.1007/s00034-016-0397-1

Cited by 20 publications

(13 citation statements)

References 22 publications

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“…The simulations showed the suitable performance of the suggested algorithms in tracking control of nonholonomic MASs. Future directions of this paper might involve: (1) To design and analyse a distributed tracking control algorithm for discrete-time nonholonomic MASs with time delay using the results of Kokil (2017) and Kokil (2014). (2) To develop the suggested controllers for nonholonomic MASs with directed graphs and jointly connected topologies.…”

Section: Discussionmentioning

confidence: 99%

Distributed tracking control of multiple nonholonomic mobile agents with input delay

Jenabzadeh

Safarinejadian

Binazadeh

2018

Transactions of the Institute of Measurement and Control

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This paper considers the distributed control problem of nonholonomic mobile agents with input delay to track a target. In contrast to the existing works in which some controllers have been designed for ideal conditions, the destructive factor of input delay is considered in the dynamics of the agents in this work. At first, a distributed controller is suggested for each agent to track the target in the absence of input delay. In this case, each nonholonomic mobile agent is divided into two subsystems and two terminal sliding mode controllers are designed for the two subsystems. Based on the proposed controllers, a switching control strategy is obtained to guarantee the finite time tracking control of nonholonomic mobile agents. Then, this controller is extended based on a future state estimator for tracking control in the presence of input delay. The stability analysis of distributed controllers and estimator is also provided. Simulation results illustrate the effectiveness of the suggested algorithms.

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Section: Discussionmentioning

confidence: 99%

Distributed tracking control of multiple nonholonomic mobile agents with input delay

Jenabzadeh

Safarinejadian

Binazadeh

2018

Transactions of the Institute of Measurement and Control

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“…In [6,7], the stability and robust controller of 2-D discrete systems which have sector nonlinearity and intermittent measurement were studied. In [8], the stability problem of 2-D discrete systems with statedelayed and saturation nonlinearities was investigated. In [9], considering a class of generalized Lipschitz nonlinearities, the problem of robust H ∞ control for uncertain 2-D discrete state-delayed systems was investigated.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered robust guaranteed cost control for two-dimensional nonlinear discrete-time systems

Wang¹,

Bu²,

Liang³

2019

Jsee

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An event-triggered scheme is proposed to solve the problems of robust guaranteed cost control for a class of two-dimensional (2-D) discrete-time systems. Firstly, an eventtriggered scheme is proposed for 2-D discrete-time systems with parameter uncertainties and sector nonlinearities. Then, according to the Lyapunov functional method, the sufficient conditions for the existence of event-triggered robust guaranteed cost controller for 2-D discrete-time systems with parameter uncertainties and sector nonlinearities are given. Furthermore, based on the sufficient conditions and the linear matrix inequality (LMI) technique, the problem of designing event-triggered robust guaranteed cost controller is transformed into a feasible solution problem of LMI. Finally, a numerical example is given to demonstrate that, under the proposed event-triggered robust guaranteed cost control, the closed-loop system is asymptotically stable and fewer communication resources are occupied.

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“…Regarding large-scale interconnected systems, the problem of estimating the states of each subsystem is very important, since the information of local state estimates at the subsystem level is of paramount importance to the purpose of system monitoring and/or observer-based control implementation (Arif et al, 2017; Huong, 2016; Lee et al, 2013; Mobayen and Tchier, 2017; Pham et al, 2016; Swarnakar et al, 2008; Yu et al, 2016). Furthermore, time delay is certain to happen in many dynamical systems and majorly contributes to instability, oscillations and degradation in system performance (Gao and Chen, 2007; Gao et al, 2008; Kokil, 2017; Majd and Mobayen, 2015; Mobayen, 2014, 2015; Mobayen and Tchier, 2016). Therefore, the problem of the state observer’s design for interconnected systems with time delays is essential and important for both theoretical and practical reasons.…”

Section: Introductionmentioning

confidence: 99%

Observer design for positive fractional-order interconnected time-delay systems

Trinh

Huong

Nahavandi

2018

Transactions of the Institute of Measurement and Control

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This paper considers the problem of designing positive reduced-order distributed functional observers for positive fractional-order interconnected time-delay systems. The systems under consideration belong to a class of large-scale fractional-order systems where each system is formed by [Formula: see text] ([Formula: see text]) interconnected subsystems with heterogeneous time delays in the interconnections and the local state vectors. First, a necessary and sufficient condition to ensure the positivity of the considered system is derived. Based on this result, [Formula: see text] stand-alone reduced-order positive distributed functional observers for the system are designed. These observers are always nonnegative at any time and they converge asymptotically to the true functional state vectors of the system. The designed observer for each subsystem is based on the local outputs and additional outputs from other subsystems but without the need to exchange the state estimates among the observers. Conditions for the existence of such positive distributed functional observers are derived and they are translated into a linear programming problem. Finally, the effectiveness of the proposed design method is supported by four numerical examples and simulation results.

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An Improved Criterion for the Global Asymptotic Stability of 2-D Discrete State-Delayed Systems with Saturation Nonlinearities

Cited by 20 publications

References 22 publications

Distributed tracking control of multiple nonholonomic mobile agents with input delay

Distributed tracking control of multiple nonholonomic mobile agents with input delay

Event-triggered robust guaranteed cost control for two-dimensional nonlinear discrete-time systems

Observer design for positive fractional-order interconnected time-delay systems

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