Positive invariant sets for fault tolerant multisensor control schemes

Olaru, Sorin; Doná, José A. De; Serón, María M.

doi:10.3182/20080706-5-kr-1001.00211

Cited by 44 publications

(47 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, the notion of RPI sets and the method to construct those are based on the results of Kofman et al (2007), Kolmanovsky and Gilbert (1998), and Olaru et al (2010), which are given in Appendix.…”

Section: Fault Detection and Isolationmentioning

confidence: 99%

Robust MPC for actuator-fault tolerance using set-based passive fault detection and active fault isolation

Puig

Ocampo‐Martínez

et al. 2014

53rd IEEE Conference on Decision and Control

View full text Add to dashboard Cite

In this paper, a fault-tolerant control (FTC) scheme is proposed for actuator faults, which is built upon tube-based model predictive control (MPC) as well as set-based fault detection and isolation (FDI). In the class of MPC techniques, tubebased MPC can effectively deal with system constraints and uncertainties with relatively low computational complexity compared with other robust MPC techniques such as min-max MPC. Set-based FDI, generally considering the worst case of uncertainties, can robustly detect and isolate actuator faults. In the proposed FTC scheme, fault detection (FD) is passive by using invariant sets, while fault isolation (FI) is active by means of MPC and tubes. The active FI method proposed in this paper is implemented by making use of the constraint-handling ability of MPC to manipulate the bounds of inputs. After the system has been detected to become faulty, the input-constraint set of the MPC controller is adjusted to actively excite the system for achieving FI guarantees on-line, where an active FI-oriented input set is designed off-line. In this way, the system can be excited in order to obtain more extra system-operating information for FI than passive FI approaches. Overall, the objective of this paper is to propose an actuator MPC scheme with as little as possible of FI conservatism and computational complexity by combining tube-based MPC and set theory within the framework of MPC, respectively. Finally, a case study is used to show the effectiveness of the proposed FTC scheme.

show abstract

Section: Fault Detection and Isolationmentioning

confidence: 99%

Robust MPC for actuator-fault tolerance using set-based passive fault detection and active fault isolation

Puig

Ocampo‐Martínez

et al. 2014

53rd IEEE Conference on Decision and Control

View full text Add to dashboard Cite

show abstract

“…In order to refine the obtained ellipsoid by means of the formulation introduced in this section and obtain an approximation of the RPI set, a recursive strategy is used (Olaru et al, 2010). For this final refinement of the RPI set, we approximate the initial ellipsoidal set E P0 by a s-vertices polyhedron Ω 0 .…”

Section: Refinement Of the Robust Positive Invariant Setmentioning

confidence: 99%

On the impact of additive disturbances on Auto-Steering Systems

et al. 2017

Self Cite

View full text Add to dashboard Cite

Several control techniques are available for the automotive systems and their design is often based on the available measurements of different parameters and the integration of the hard input and performance constraints. The objective of the present study is to revisit the closed loop dynamics of an auto-steering system to offer an evaluation of the impact of the curvature of the road. From a theoretical point of view, robust positive invariance theory is presented in order to perform the analysis of the effects that a bounded parameter-varying additive disturbance has on a linear parameter-varying controller used to ensure stability of a model predictive control strategy.

show abstract

“…This makes the performance diagnosis approach different from the set-based approaches (Olaru, De Doná, & Seron, 2008;Seron & De Doná, 2010), which can be used, for example, to detect sensor and actuator failures. In addition, as opposed to the more classical fault detection approaches (Basseville, 1998;Basseville & Benveniste, 1983;Benveniste et al, 1987;Huang & Tamayo, 2000;Jiang, Huang, & Shah, 2009), the diagnosis objective in this paper is not to detect any plant changes, but only those changes that lead to the closed-loop performance degradation (i.e., control-relevant changes).…”

Section: Introductionmentioning

confidence: 99%

Least costly closed-loop performance diagnosis and plant re-identification

Mesbah

Bombois

Forgione

et al. 2015

International Journal of Control

View full text Add to dashboard Cite

The inherent time-varying nature of dynamics in chemical processes often limits the lifetime performance of model-based control systems, as the plant and disturbance dynamics change over time. A critical step in the maintenance of model-based controllers is distinguishing control-relevant plant changes from variations in disturbance characteristics. In this paper, prediction error identification is used to evaluate a hypothesis test that detects if the performance drop arises from controlrelevant plant changes. The decision rule is assessed by verifying whether an identified model of the true plant lies outside the set of all plant models that lead to adequate closed-loop performance. A unified experiment design framework is presented in the least costly context (i.e., least intrusion of nominal plant operation) to address the problem of input signal design for performance diagnosis and plant re-identification when the performance drop is due to plant changes. The application of the presented performance diagnosis approach to a (nonlinear) chemical reactor demonstrates the effectiveness of the approach in detecting the cause of an observed closed-loop performance drop based on the designed least costly diagnosis experiment.

show abstract

Positive invariant sets for fault tolerant multisensor control schemes

Cited by 44 publications

References 8 publications

Robust MPC for actuator-fault tolerance using set-based passive fault detection and active fault isolation

Robust MPC for actuator-fault tolerance using set-based passive fault detection and active fault isolation

On the impact of additive disturbances on Auto-Steering Systems

Least costly closed-loop performance diagnosis and plant re-identification

Contact Info

Product

Resources

About