Observer-based finite-time robust control of nonlinear time-delay systems via Hamiltonian function method

Yang, Renming; Zhang, Guangyuan; Sun, Liying

doi:10.1080/00207179.2020.1774657

Cited by 20 publications

(27 citation statements)

References 43 publications

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“…By (25), the derivative of V is negative definite in a neighborhood of the origin and asymptotic stability follows. ▪…”

Section: Stability Of the Predictormentioning

confidence: 99%

“…22,23 It is worthy of mention that the design of observers for systems with output delay have received a sustained attention in past and recent years. See, for example, the approach based on differential geometry, 15 on extended pseudo linearization combined with state Riccati equations, 24 on the Hamiltonian function, 25 and the references therein.…”

Section: Introductionmentioning

confidence: 99%

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Observer‐based predictor for a susceptible‐infectious‐recovered model with delays: An optimal‐control case study

Castaños

Mondié

2021

Intl J Robust & Nonlinear

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We propose an observer for a susceptible-infectious-recovered epidemic model. The observer is then uplifted into a predictor to compensate for time delays in the input and the output. Tuning criteria are given for tuning gains of the predictor, while the estimation-error stability is ensured using Lyapunov-Krasovskii functionals. The predictor's performance is first evaluated in combination with a time-optimal control. It is shown that the predictor nearly recovers the performance level of the delay-free system. Finally, the predictor is evaluated using real data from a covid epidemic.

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“…By (25), the derivative of V is negative definite in a neighborhood of the origin and asymptotic stability follows. ▪…”

Section: Stability Of the Predictormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Observer‐based predictor for a susceptible‐infectious‐recovered model with delays: An optimal‐control case study

Castaños

Mondié

2021

Intl J Robust & Nonlinear

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“…Therefore, several robust and adaptive strategies have been done to control uncertain and nonlinear systems under time-delay effects with the assumption of parametric uncertainties. Therefore, several robust and adaptive strategies have been done to control uncertain and nonlinear systems under time-delay effects with the assumption of parametric uncertainties [8,9,10,11,12,13], such as approaches with backstepping and dynamic surface designs [14,15]. In [16], a set ✩ Funding received from the Horizon 2020 Research Programme of the European Commission under the grant number 956059 (ECO-Qube) is hereby gratefully acknowledged.…”

Section: Introductionmentioning

confidence: 99%

Trust-based fault detection and robust fault-tolerant control of uncertain cyber-physical systems against time-delay injection attacks

Baromand

Zaman

Mihaylova

2021

Heliyon

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Control systems need to be able to operate under uncertainty and especially under attacks. To address such challenges, this paper formulates the solution of robust control for uncertain systems under time-varying and unknown time-delay attacks in cyber-physical systems (CPSs). A novel control method able to deal with thwart time-delay attacks on closed-loop control systems is proposed. Using a descriptor model and an appropriate Lyapunov functional, sufficient conditions for closed-loop stability are derived based on linear matrix inequalities (LMIs). A design procedure is proposed to obtain an optimal state feedback control gain such that the uncertain system can be resistant under an injection time-delay attack with variable delay. Furthermore, various fault detection frameworks are proposed by following the dynamics of the measured data at the system's input and output using statistical analysis such as correlation analysis and K-L (Kullback-Leibler) divergence criteria to detect attack's existence and to prevent possible instability. Finally, an example is provided to evaluate the proposed design method's effectiveness.

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“…When it comes to the nonlinear singular system, the finite-time simultaneous stabilization of two nonlinear singular systems and more than two nonlinear singular systems is considered in this study. It is worth noticing that it is also called finite-time stability, i.e., states of the system reach the equilibrium point within a fixed time T and stay at the equilibrium point when t > T [23][24][25][26][27][28][29]. e finite-time robust stabilization problem of general nonlinear time-delay systems is studied based on the Hamiltonian function method and observer design in [26].…”

Section: Introductionmentioning

confidence: 99%

“…It is worth noticing that it is also called finite-time stability, i.e., states of the system reach the equilibrium point within a fixed time T and stay at the equilibrium point when t > T [23][24][25][26][27][28][29]. e finite-time robust stabilization problem of general nonlinear time-delay systems is studied based on the Hamiltonian function method and observer design in [26]. In [27], the finitetime stabilization is investigated for a class of singular systems by the constructed new Lyapunov functional, while the finitetime robust simultaneous stabilization and adaptive robust simultaneous stabilization have been investigated for nonlinear systems with time delay in [28,29], respectively.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Simultaneous Stabilization of a Set of Nonlinear Singular Systems

Sun

2021

Mathematical Problems in Engineering

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This study addresses the problems of finite-time simultaneous stabilization for two nonlinear singular systems and more than two nonlinear singular systems. First, we design a suitable output feedback controller and combine the two nonlinear singular systems to generate an augmented system by using an augmented technique. Based on a sufficient condition of the augmented system impulse-free, an important result, that is, the augmented system is finite-time stabilization is presented. Then, the finite-time stabilization problem of more than two singular systems is investigated by dividing the N systems into two sets. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed finite-time stabilization controller for two nonlinear singular systems.

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Observer-based finite-time robust control of nonlinear time-delay systems via Hamiltonian function method

Cited by 20 publications

References 43 publications

Observer‐based predictor for a susceptible‐infectious‐recovered model with delays: An optimal‐control case study

Observer‐based predictor for a susceptible‐infectious‐recovered model with delays: An optimal‐control case study

Trust-based fault detection and robust fault-tolerant control of uncertain cyber-physical systems against time-delay injection attacks

Finite-Time Simultaneous Stabilization of a Set of Nonlinear Singular Systems

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