On finite time stability with guaranteed cost control of uncertain linear systems

Qayyum, Atif; Pironti, A.

doi:10.14736/kyb-2018-5-1071

Cited by 4 publications

(4 citation statements)

References 30 publications

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“…The guaranteed cost control problem has received considerable attention due to its important applications [24,25]. The central idea of FTGCC is to design a controller, given a bound on the initial state of the system, such that the state trajectory lies in a defined threshold during a fixed time interval, and an upper bound of the performance is minimized [26]. The FTGCC problem for uncertain time-varying linear systems was investigated in [26].…”

Section: Introductionmentioning

confidence: 99%

“…The central idea of FTGCC is to design a controller, given a bound on the initial state of the system, such that the state trajectory lies in a defined threshold during a fixed time interval, and an upper bound of the performance is minimized [26]. The FTGCC problem for uncertain time-varying linear systems was investigated in [26]. The guaranteed cost controller was designed for stochastic continuous-time linear systems [27].…”

Section: Introductionmentioning

confidence: 99%

“…(1) Due to the effects of time-varying delays and external disturbance, our model is more complex than existing results, such as [26][27][28]. The Lyapunov functional used in this paper should consider the influence of time delay, which leads to the system analysis and synthesis becoming more complicated.…”

Section: Introductionmentioning

confidence: 99%

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Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays

Liu

Yao

et al. 2022

Mathematics

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In this paper, the finite-time guaranteed cost control (FTGCC) problem is addressed for Itô Markovian jump systems with time-varying delays. The aim of this paper is to design a state feedback guaranteed cost controller, such that not only the resulting closed-loop systems are finite-time stable, but also cost performance has a minimum upper bound. First, new sufficient conditions for the existence of guaranteed cost controllers are presented via the linear matrix inequality (LMI) approach. Then, based on the established conditions, the desired controllers are designed and the upper bound of cost performance is provided. In the end, an example is employed to show the validity of the obtained results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays

Liu

Yao

et al. 2022

Mathematics

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“…The recursive nature of adaptive filters bring with them stability issues. However, when only finite measurements of input and output of a system are used to yield state estimates, the filter stability is guaranteed (Qayyum and Pironti, 2018), as will become apparent in the foregoing discussion.…”

Section: Introductionmentioning

confidence: 99%

Receding horizon observer for linear time-varying systems

Qayyum

Malik

2018

Transactions of the Institute of Measurement and Control

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In this paper, we present a receding horizon observer for linear time-varying systems. Our main contribution is that known deterministic input has been fully dealt with. This poses considerable challenges for recursive formulation of the filter. The suggested observer can be used in closed-loop feedback control systems. The existing finite memory filters lack this ability. First- and second-order statistical convergence analysis carried out in this paper provide an insight into the stochastic behaviour of the observer. Some examples demonstrate the utility of the proposed filter.

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Reduced-Order Min-Max Guaranteed Cost Control for Finite-Time Boundedness of Uncertain Linear Systems Using Output Feedback

Dinesh

Mulla

2023

IEEE Control Syst. Lett.

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On finite time stability with guaranteed cost control of uncertain linear systems

Cited by 4 publications

References 30 publications

Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays

Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays

Receding horizon observer for linear time-varying systems

Reduced-Order Min-Max Guaranteed Cost Control for Finite-Time Boundedness of Uncertain Linear Systems Using Output Feedback

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