Abstract
In this paper, an approach to design an Admissible Model Matching (AMM) Fault Tolerant Control (FTC) based on Linear Parameter Varying (LPV) fault representation is proposed. The main contribution of this approach is to consider parametric faults as a scheduling variable in the LPV fault representation of the system that allows the controller reconfiguration on-line. The proposed strategy is an active technique that requires the fault to be detected, isolated and estimated by a FDI scheme. In case the fault estimation is not available, a passive strategy based on a single AMM FTC controller could be designed. The formulation of AMM is based on the set of admissible behaviors that are characterized by means of Linear Matrix Inequalities (LMIs). The LMIs allow to locate the poles of the close-loop system inside a region of the unit circle and the fault accommodation can be formulated in terms of several LMIs. The effectiveness and performance of proposed approach have been illustrated in simulation considering a thermal hydraulic system.
Highlights
Fault Tolerant Control (FTC) is a new idea recently introduced in the research literature (Blanke et al, 2003) which allows to maintain current performances close to desirable performances and preserve stability conditions in the presence of component and/or instrument faults
In case the fault estimation is not available, a passive strategy based on a single Admissible Model Matching (AMM) FTC controller could be designed
This paper proposes the development of AMM FTC approach for LTI plants subject to faults that allows to specify the set of admissible faults that the controller is able to tolerate with an admissible degradation
Summary
Fault Tolerant Control (FTC) is a new idea recently introduced in the research literature (Blanke et al, 2003) which allows to maintain current performances close to desirable performances and preserve stability conditions in the presence of component and/or instrument faults. The active FTC techniques consist on adapting the control law using the information given by the Fault Detection and Isolation (FDI) block (Blanke et al, 2003). The control objective is defined in terms of similarity of the closed-loop system matrix of the accommodated system to a given reference. This paper proposes the development of AMM FTC approach for LTI plants subject to faults that allows to specify the set of admissible faults that the controller is able to tolerate with an admissible degradation. The control law is: For a given fault (Af , Bf ), the goal of the fault accommodation is to find a feedback gain Kf that provides an admissible closed-loop behavior: u(k) = −[KI Kf ]. Accommodation is achieved by calculating a new feedback gain Kf to maintain an acceptable closed-loop behavior in M
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