Design of state‐dependent impulsive observer for non‐linear time‐delay systems

Kalamian, Nasrin; Khaloozadeh, Hamid; Ayati, Moosa

doi:10.1049/iet-cta.2018.5290

Cited by 15 publications

(6 citation statements)

References 36 publications

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“…The CSTR system is under an extended state‐dependent Riccati equation (ESDRE) controller for simulation [35–38]. The initial conditions are considered as

\chi ( 0 ) = {[ { \def\eqcellsep{&}\begin{array}{*{20}{c}} {0.01}&{0.01} \end{array} } ]}^T

.…”

Section: Simulation Resultsmentioning

confidence: 99%

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Fault estimation for nonlinear uncertain time‐delay systems based on unknown input observer

Azarbani,

Fakharian,

Menhaj

2024

IET Control Theory & Appl

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In this paper, a novel nonlinear unknown input observer is proposed in order to fault estimation for nonlinear uncertain systems with time delays. By the estimation of the faults, the features are detected such as shape, size occurrence time etc. The time delay is considered a constant and known parameter in the states. The disturbances are investigated in the states and outputs and also, and sensor and actuator faults are considered. The stability of the closed‐loop system is guaranteed by Lyapunov–Krasovskii theory and some feasible Linear matrix inequalities (LMI). The proposed method is simulated on a continuous‐stirred tank reactor (CSTR) with uncertainties and time delay. Simulation results show the appropriate efficiency of the proposed method.

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“…The CSTR system is under an extended state‐dependent Riccati equation (ESDRE) controller for simulation [35–38]. The initial conditions are considered as

\chi ( 0 ) = {[ { \def\eqcellsep{&}\begin{array}{*{20}{c}} {0.01}&{0.01} \end{array} } ]}^T

.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The CSTR system is under an extended state-dependent Riccati equation (ESDRE) controller for simulation [35][36][37][38].…”

Section: Omentioning

confidence: 99%

Fault estimation for nonlinear uncertain time‐delay systems based on unknown input observer

Azarbani,

Fakharian,

Menhaj

2024

IET Control Theory & Appl

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“…However, it is often possible to know the delay functions or to characterize them, which makes it possible to avoid errors between the real system and the observer; for control actions, this estimation is not useful as it has large correction terms. Some works dealing with the design of observers for known variant delays are shown in [5,[25][26][27][28][29]. In [25], an observer is proposed for a non-linear system with state delays.…”

Section: Introductionmentioning

confidence: 99%

“…Some works dealing with the design of observers for known variant delays are shown in [5,[25][26][27][28][29]. In [25], an observer is proposed for a non-linear system with state delays. The observer has two behavior modes: when it is sampled and when it is not sampled.…”

Section: Introductionmentioning

confidence: 99%

Observer for Nonlinear Systems with Time-Varying Delays: Application to a Two-Degrees-of-Freedom Helicopter

Hernández-González,

Ramírez-Rasgado,

Farza

et al. 2024

Aerospace

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This paper deals with the problem of the estimation of non-uniformly nonlinear systems with time-varying delays in the state and input. In addition, the problem of the sampled output measurement is also been addressed. Thus, an observer design for a class of uncertain, non-uniformly nonlinear systems in the presence of time-varying delay is proposed. A continuous–discrete observer based on a high-gain approach is designed to achieve undelayed estimation. Thus, sufficient conditions to ensure the convergence of the observer are obtained. The analysis is based on a Lyapunov–Krasovskii functional, which shows that the bounded observation error depends on the sizes of the known upper delay and the upper sampling rate. The performance of the proposed algorithm is evaluated by considering a control-based observer for a two-degrees-of-freedom helicopter system with a known time-varying delay and sampled output measurements.

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“…The time intervals between these impulses can be fixed or variable with time, known or unknown, and deterministic or stochastic. In [30], an impulsive observer (IO) is introduced based on state-dependent Computers 2024, 13, 142 3 of 17 matrices for nonlinear time-delay systems. Furthermore, an adaptive IO (AIO) is suggested for a class of nonlinear time-delay systems with unknown parameters in [31].…”

Section: Introductionmentioning

confidence: 99%

Observer-Based Suboptimal Controller Design for Permanent Magnet Synchronous Motors: State-Dependent Riccati Equation Controller and Impulsive Observer Approaches

Kalamian,

Soltani,

Bouzari Liavoli

et al. 2024

Computers

Self Cite

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Permanent Magnet Synchronous Motors (PMSMs) with high energy efficiency, reliable performance, and a relatively simple structure are widely utilised in various applications. In this paper, a suboptimal controller is proposed for PMSMs without sensors based on the state-dependent Riccati equation (SDRE) technique combined with customised impulsive observers (IOs). Here, the SDRE technique facilitates a pseudo-linearised display of the motor with state-dependent coefficients (SDCs) while preserving all its nonlinear features. Considering the risk of non-available/non-measurable states in the motor due to sensor and instrumentation costs, the SDRE is combined with IOs to estimate the PMSM speed and position states. Customised IOs are proven to be capable of obtaining quality, continuous estimates of the motor states despite the discrete format of the output signals. The simulation results in this work illustrate an accurate state estimation and control mechanism for the speed of the PMSM in the presence of load torque disturbances and reference speed changes. It is clearly shown that the SDRE-IO design is superior compared to the most popular existing regulators in the literature for sensorless speed control.

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Design of state‐dependent impulsive observer for non‐linear time‐delay systems

Cited by 15 publications

References 36 publications

Fault estimation for nonlinear uncertain time‐delay systems based on unknown input observer

Fault estimation for nonlinear uncertain time‐delay systems based on unknown input observer

Observer for Nonlinear Systems with Time-Varying Delays: Application to a Two-Degrees-of-Freedom Helicopter

Observer-Based Suboptimal Controller Design for Permanent Magnet Synchronous Motors: State-Dependent Riccati Equation Controller and Impulsive Observer Approaches

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