Robust sliding mode observer-based actuator fault detection and isolation for a class of nonlinear systems

IET Control Theory & Applications

Spurgeon³

et al. 2017

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.

Section: Sliding Mode Observer Designmentioning

confidence: 99%

“…where β can be estimated using the approach given in [32]. For system (31)- (32), consider a sliding surface S = {(e 11 , e y 1 , e 21 , e y 2 , · · · , e N 1 , e y N ) e y 1 = 0, e y 2 = 0, · · · , e y N = 0}…”

Section: Sliding Mode Observer Designmentioning

confidence: 99%

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

IET Control Theory & Applications

Spurgeon³

et al. 2017

“…where β can be estimated using the approach given in [14]. For system (31)-(32), consider a sliding surface S = {(e 11 , e y1 , e 21 , e y2 , · · · , e N 1 , e y N ) e y1 = 0,…”

Section: Sliding Mode Observer Designmentioning

confidence: 99%

Robust sliding mode observer design for interconnected systems

2016 IEEE 55th Conference on Decision and Control (CDC)

Spurgeon³

et al. 2016

Self Cite

Abstract-In this paper, a class of nonlinear interconnected systems is considered in the presence of structured and unstructured uncertainties. The bounds on the uncertainties are nonlinear and are employed in the observer design to reject the effect of the uncertainties. Under the condition that the structure matrices of the uncertainties are known, a robust sliding mode observer is designed and a set of sufficient conditions is developed such that the error dynamics are asymptotically stable. If the structure of the uncertainties is unknown, an untimately bounded observer is developed using sliding mode techniques. The obtained results are applied to a multimachine power system to demonstrate the effectiveness of the developed methods.

“…It becomes of interest to establish observers to estimate the system states and then use the estimated states to replace the true system states in order to implement state feedback decentralised controllers. It is also the case that observer design has been heavily applied for fault detection and isolation [10], [15]. This further motivates the study of observer design for nonlinear large scale interconnected systems.…”

Section: Introductionmentioning

confidence: 99%

“…An adaptive observer is designed for a class of interconnected systems in [14] in which it is required that the isolated nominal subsystems are linear. Observer schemes for interconnected systems are proposed in [7], [10], [12], [15] where the obtained results are unavoidably conservative as it is required that the designed observer can be used for certain fault detection and isolation problems. Robust observer design is considered in [9] for a class of linear large scale dynamical systems where it is required that the interconnections satisfy quadratic constraints.…”

Section: Introductionmentioning

confidence: 99%

Variable structure observer for a class of nonlinear large-scale interconnected systems with uncertainties

2016 14th International Workshop on Variable Structure Systems (VSS)

Spurgeon

et al. 2016

Self Cite

Abstract-In this paper, a variable structure observer design approach is proposed for a class of nonlinear, large-scale interconnected systems in the presence of unstructured uncertainty. The modern geometric approach is exploited to explore the system structure and a transformation is developed to facilitate observer design. Using the Lyapunov direct method, a robust asymptotic observer is presented which exploits the internal dynamic structure of the system as well as the structure of the uncertainties. The bounds on the uncertainties are nonlinear and are employed in the observer design to reject the effect of the uncertainties. A numerical example is presented to illustrate the approach and the simulation results show that the proposed approach is effective.