State and Parameter Estimation for Nonlinear Delay Systems Using Sliding Mode Techniques

Yan, Xing‐Gang; Spurgeon, Sarah K.; Edwards, Christopher

doi:10.1109/tac.2012.2215531

Cited by 71 publications

(55 citation statements)

References 19 publications

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“…From the error dynamics (31)- (32), it is clear to see that the e i1 dynamics interact with the dynamics e y i through the interconnection termsM i1 (·) andM i2 (·). From the inequalities (35) and (36), it follows that the interconnections on the right-hand side of equation (31) are bounded by functions of e 1 only. The proof of Theorem 1 further shows that the stability of the error dynamics (31) are actually independent of e y i .…”

Section: Sliding Mode Observer Designmentioning

confidence: 99%

Robust sliding‐mode observers for large‐scale systems with application to a multimachine power system

Mohamed

Yan

Spurgeon³

et al. 2017

IET Control Theory & Applications

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In this paper, a class of interconnected systems with structured and unstructured uncertainties is considered where the known interconnections and uncertain interconnections are nonlinear. The bounds on the uncertainties are employed in the observer design to enhance the robustness when the structure of the uncertainties is available for design. Under the condition that the structure distribution matrices of the uncertainties are known, a robust sliding mode observer is designed and a set of sufficient conditions is developed to guarantee that the error dynamics are asymptotically stable. In the case that the structure of uncertainties is unknown, an ultimately bounded approximate observer is developed to estimate the system states using sliding mode techniques. The results obtained are applied to a multimachine power system, and simulation for a two machine power system is presented to demonstrate the feasibility and effectiveness of the developed methods.

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Section: Sliding Mode Observer Designmentioning

confidence: 99%

Robust sliding‐mode observers for large‐scale systems with application to a multimachine power system

Mohamed

Yan

Spurgeon³

et al. 2017

IET Control Theory & Applications

Self Cite

View full text Add to dashboard Cite

show abstract

“…Various effective techniques, such as adaptive technique, [6][7][8] sliding-mode observer approach using equivalent output injection signal to explicitly reconstruct fault signals, [9][10][11][12] learning observer method, 13,14 intermediate estimator method, 15,16 the descriptor observer approach, [17][18][19] and so on, have been proposed for fault estimation problem. Recently, the proportional and integral observer (PIO) method has been addressed in the works of Youssef et al 20 and Li and Zhu 21 to simultaneously estimate system states and system faults.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous actuator and sensor fault estimation for discrete‐time Lipschitz nonlinear systems in finite‐frequency domain

Yang

2017

Optim Control Appl Methods

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SummaryThis paper addresses the problem of actuator and sensor fault reconstruction simultaneously with finite-frequency specifications for discrete-time Lipschitz nonlinear systems. First, an augmented system description is given by extending the sensor fault as an auxiliary state vector. Then, a multiobjective unknown input proportional-integral observer is designed, and the nonlinear error dynamics are transformed into a linear parameter-varying system based on the use of a reformulated Lipschitz property. Sufficient conditions for the design of a fault estimator with 2 finite-frequency H ∞ performances are derived in terms of linear matrix inequalities where a slack variable is introduced to reduce the conservativeness of the design. The proposed method can provide less restrictive linear matrix inequality conditions and get a better fault estimation performance than the existing one in the full frequency domain. Simulation results are given to show the effectiveness of the proposed techniques.

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“…In order to estimate unmeasured states of a plant, there are several FOOs/ROOs that are successfully designed by [13][14][15][16][17]. In [14], the FOO was established for uncertain singleinput/single-output (SISO) and multiple-input/multipleoutput (MIMO) systems which satisfied the matching condition with time-delay.…”

Section: Introductionmentioning

confidence: 99%

“…It requires fundamentally that a control system is stable in the sense of Lyapunov and its trajectories tend to zero in finite time. It was demonstrated in [17] that the finite-time convergence of FOO was constructed for the time-varying delay uncertain nonlinear systems under Lipschitz conditions. In brief, the main key for observer progress is a finite-time convergence of estimation error such that observer is invariant to the system uncertainties and/or disturbances in finite time.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Output Feedback Controller Based on Observer for the Time‐Varying Delayed Systems: A Moore‐Penrose Inverse Approach

Nguyen

Tsai

2017

Mathematical Problems in Engineering

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This study proposes a novel variable structure control (VSC) for the mismatched uncertain systems with unknown time-varying delay. The novel VSC includes the finite-time convergence sliding mode, invariance property, asymptotic stability, and measured output only. A necessary and sufficient condition guaranteeing the existence of sliding surface is given. A novel lemma is established to deal with the control design problem for a wider class of time-delay systems. A suitable reduced-order observer (ROO) is constructed to estimate unmeasured state variables of the systems. A novel finite-time output feedback controller (FTOFC) is investigated, which is based on the ROO tool and the Moore-Penrose inverse technique. Moreover, with the help of this lemma and the proposed FTOFC, restrictions on most existing works are also eliminated. In addition, an asymptotic stability analysis is implemented by means of the feasibility of the linear matrix inequalities (LMIs) and given desirable sliding mode dynamics. Finally, a MATLAB simulation result on a numerical example is performed to show the effectiveness and advantage of the proposed method.

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State and Parameter Estimation for Nonlinear Delay Systems Using Sliding Mode Techniques

Cited by 71 publications

References 19 publications

Robust sliding‐mode observers for large‐scale systems with application to a multimachine power system

Robust sliding‐mode observers for large‐scale systems with application to a multimachine power system

Simultaneous actuator and sensor fault estimation for discrete‐time Lipschitz nonlinear systems in finite‐frequency domain

Finite‐Time Output Feedback Controller Based on Observer for the Time‐Varying Delayed Systems: A Moore‐Penrose Inverse Approach

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