Abstract

ABSTRACTThe control reconfigurability measure defines the capability of a control system to allow recovery of performance when faults occur; therefore, it has been intended to be a tool for designing and synthesizing approaches in the fault tolerant control context. Reconfigurability depends on the controllability gramian, also known as the second-order information (SOI) in a broad sense. This paper proposes the assignation, by feedback, of the deterministic SOI in order to set the control reconfigurability of a given linear system. The theory concerned with this assignation is reviewed, then constructive theorems are given for finding constant feedback gains that approximate a required control reconfigurability for ease implementation. Also an unification of the reconfigurability measures proposed in the fault tolerance literature is given. Once the SOI is assigned by feedback, it can be computed online by using an identification method, which uses process input/output data. Results from simulation of the three tanks hydraulic benchmark, show that this approach can provide information about the system performance for fault tolerant purposes, thus online control reconfigurability computation and fault accommodation are considered. The approach presented in the paper gives an alternative for supervision taking into account the reconfigurability assigned by design.

Highlights

  • Fault tolerance of control systems is a requirement becoming indispensable in processes involving the risk to human beings, process components and environment

  • In the fault tolerant control (FTC) framework, control reconfigurability has been defined as a metric of the capability of a control system to perform either fault accommodation or system reconfiguration related to the treated system, i.e. the control system quality/capacity to respond to faults allowing restoration/recovery of control objectives when faults occur [3]

  • Taking into account the importance of the second-order information (SOI) used in the control reconfigurability computation, this information is considered to manipulate it in closed-loop

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Summary

Introduction

Fault tolerance of control systems is a requirement becoming indispensable in processes involving the risk to human beings, process components (process itself) and environment. Loss of actuators, the metric is viewed as the control system quality under given faulty conditions, and each faulty case (combination of lost actuators) is evaluated in terms of reconfigurability Both approaches represent the performance in terms of system capability to maintain/recover original or admissible requirements. An index based on the control reconfigurability is proposed in this paper in order to establish the admissible operation conditions of the treated system, under possible partial loss of effectiveness type faults In this way, redesign and even remodelling are considered for the possible faulty cases.

Modelling and fault types
Lyapunov equation solutions
Control effectiveness loss as actuator faults
Reconfigurability metrics and equivalences
Metrics and their relationship
3: By using SVD calculate according to equation
Reconfigurability-based index
SOI by state feedback for discrete systems
Data-driven computation
Computation using the ERA
Process description
Controller design
Feedback gain
Simulation results
Faulty case
Conclusion
Findings
Disclosure statement
Full Text
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