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Control reconfiguration is an active approach to achieve fault-tolerant control for dynamic systems (Blanke et al. 2006). It is used when severe faults, such as actuator or sensor outages, cause a break-up of the control loop, which must be restructured to prevent failure at the system level. In addition to loop restructuring, the controller parameters must be adjusted to accommodate changed plant dynamics. Control reconfiguration is a building block toward increasing the dependability of systems under feedback control (Patton 1997). Look up Control in Wiktionary, the free dictionary. ...
In engineering and mathematics, a dynamical system is a deterministic process in which a functions value changes over time according to a rule that is defined in terms of the functions current value. ...
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Look up failure in Wiktionary, the free dictionary. ...
Basic Principles A controller is the brain component of a system that monitors certain input variables and adjusts other output variables to achieve the desired operation. ...
In computer science, dependability is defined as [1] Dependability includes the following attributes of a computing system [2]: Availability: readiness for correct service; Reliability: continuity of correct service; Safety: absence of catastrophic consequences on the user(s) and the environment; Security: the concurrent existence of (a) availability for authorized users...
It has been suggested that this article or section be merged with Feedback loop. ...
Reconfiguration Problem
 Control loop with supervisory level. In the nominal, i. e. fault-free situation, the lower control loop operates to meet the control goals. The fault detection (FDI) module monitors the loop to detect and isolate faults. The fault estimate is passed to the reconfiguration block, which modifies the control loop to reach the control goals in spite of the fault.
Fault Modelling The figure to the right shows a plant controlled by a controller in a standard control loop.
The nominal linear model of the plant is
The plant subject to a fault (indicated by a red arrow in the figure) is modelled in general by
where the subscript f indicates that the system is faulty. This approach models multiplicative faults by modified system matrices. Specifically, actuator faults are represented by the new input matrix , sensor faults are represented by the output map , and internal plant faults are represented by the system matrix .
The upper part of the figure shows a supervisory loop consisting of fault detection and isolation (FDI) and reconfiguration which changes the loop by
- choosing new input and output signals from {} to reach the control goal,
- changing the controller internals (including dynamic structure and parameters),
- adjusting the reference input .
To this end, the vectors of inputs and outputs contain all available signals, not just those used by the controller in fault-free operation.
Alternative scenarios model faults as an additive external signal influencing the state derivatives and outputs as follows:
Reconfiguration Goals The goal of reconfiguration is to keep the reconfigured control loop performance sufficient for preventing plant shutdown. The following goals are distinguished: - Stabilisation
- Equilibrium recovery
- Output trajectory recovery
- State trajectory recovery
Internal stability of the reconfigured closed loop is usually the minimum requirement. The equilibrium recovery goal (also referred to as weak goal) refers to the steady-state output equlibrium which the reconfigured loop reaches after a given constant input. This equilibrium must equal the nominal equilibrium under the same input (as time tends to infinity). This goal ensures steady-state reference tracking after reconfiguration. The output trajectory recovery goal (also referred to as strong goal) is even stricter. It requires that the dynamic response to an input must equal the nominal response at all times. Further restrictions are imposed by the state trajectory recovery goal, which requires that the state trajectory be restored to the nominal case by the reconfiguration under any input.
Usually a combination of goals is pursued in practice, such as the equilibrium recovery goal with stability.
The question whether or not these or similar goals can be reached for specific faults is addressed by reconfigurability analysis. Reconfigurability denotes the capability of a system that can dynamically change its behaviour, usually in response to dynamic changes in its environment. ...
Reconfiguration Approaches
Fault hiding  Fault hiding principle. A reconfiguration block is placed between faulty plant and nominal controller. The reconfuigured plant behaviour must match the nominal behaviour. Furthermore, the reconfiguration goals are pointed out. This paradigm aims at keeping the nominal controller in the loop. To this end, a reconfiguration block is placed between the faulty plant and the nominal controller. Together with the faulty plant, it forms the reconfigured plant. The reconfiguration block has to fulfill the requirement that the behaviour of the reconfigured plant matches the behaviour of the nominal, that is fault-free plant (Steffen 2005).
Linear model following In linear model following, a formal feature of the nominal closed loop is attempted to be recovered. In the classical pseudo-inverse method, the closed loop system matrix of a state-feedback control structure is used. The new controller is found to approxmate in the sense of an induced matrix norm (Gao & Antsaklis 1991). (Staroswiecki 2005)
In perfect model following, a dynamic compensator is introduced to allow for the exact recovery of the complete loop behaviour under certain conditions.
In eigenstructure assignment, the nominal closed loop eigenvalues and eigenvectors (the eigenstructure) is recovered to the nominal case after a fault.
Optimisation Linear-quadratic regulator design (LQR), model predictive control (MPC) (Looze et al. 1985),(Lunze, Rowe-Serrano & Steffen 2003),(Maciejowski & Jones 2003)
Stochastic analysis (Mahmoud, Zhang & Jiang 2003)
Learning control Learning automata, neural networks etc. (Rauch 1994).
Mathematical Tools The methods by which reconfiguration is achieved differ considerably. The following list gives an overview of mathematical approaches that are commonly used (Zhang & Jiang 2003). When the parameters of a system are slowly time-varying or uncertain, we need a control law that adapts itself under such conditions to give reliable performance. ...
Model Predictive Control, or MPC, is an advanced method of process control that has been in use in the process industries such as chemical plants and oil refineries since the 1980s. ...
In mathematics, and in particular linear algebra, the pseudoinverse of an matrix is a generalization of the inverse matrix . ...
In robust control, the word robust means that the controller or regulator should work well (e. ...
Related Topics Prior to control reconfiguration, it must be at least determined whether a fault has occurred (fault detection) and if so, which components are affected (fault isolation). Preferably, a model of the faulty plant should be provided (fault identification). These questions are addressed by fault diagnosis methods. Diagnosis (from the Greek words dia = by and gnosis = knowledge) is the process of identifying a disease by its signs, symptoms and results of various diagnostic procedures. ...
Fault accommodation is another common approach to achieve fault tolerance. In contrast to control reconfiguration, accommodation is limited to internal controller changes. The sets of signals manipulated and measured by the controller are fixed, which means that the loop cannot be restructured (Blanke et al. 2006). In computer science, Fault-tolerance is the property of a computer system to continue operation at an acceptable quality, despite the unexpected occurrence of hardware or software failures. ...
References - Blanke, M., Kinnaert, M. & Lunze, J., et al. (2006), Diagnosis and Fault-Tolerant Control (2nd ed.), Springer
- Steffen, T. (2005), Control Reconfiguration of Dynamical Systems, Springer
- Staroswiecki, M. (2005), "Fault Tolerant Control: The Pseudo-Inverse Method Revisited" in Proceedings of the 16th IFAC World Congress, Prague, Czech Republic: IFAC
- Lunze, J., Rowe-Serrano, D. & Steffen, T. (2003), "Control Reconfiguration Demonstrated at a Two-Degrees-of-Freedom Helicopter Model" in Proceedings of Europeran Control Conference (ECC), Cambridge, UK.
- Maciejowski, J. & Jones, C. (2003), "MPC Fault-Tolerant Flight Control Case Study: Flight 1862" in Proceeding of the SAFEPROCESS 2003: 5th Symposium on Detection and Safety for Technical Processes, Washington D.C., USA: IFAC, p. 265-276
- Mahmoud, M., Jiang, J. & Zhang, Y. (2003), Active Fault Tolerant Control Systems - Stochastic Analysis and Synthesis, Springer
- Zhang, Y. & Jiang, J. (2003), "Bibliographical review on reconfigurable fault-tolerant control systems" in Proceeding of the SAFEPROCESS 2003: 5th Symposium on Detection and Safety for Technical Processes, Washington D.C., USA: IFAC, p. 265-276
- Patton, R. J. (1997), "Fault-tolerant control: the 1997 situation" in Preprints of IFAC Symposium on Fault Detection Supervision and Safety for Technical Processes, Kingston upon Hull, UK, p. 1033-1055
- Rauch, H. E. (1995), "Autonomous control reconfiguration", IEEE Control Systems Magazine, vol. 15, no. 6, p. 37-48
- Rauch, H. E. (1994), "Intelligent fault diagnosis and control reconfiguration", IEEE Control Systems Magazine, vol. 14, no. 3, p. 6-12
- Gao, Z. & Antsaklis, P. J. (1991), "Stability of the pseudo-inverse method for reconfigurable control systems", International Journal of Control, vol. 53, no. 3, p. 717-729
- Looze, D., Weiss, J. L. & Eterno, J. S., et al. (1985), "An Automatic Redesign Approach for Restructurable Control Systems", IEEE Control Systems Magazine, vol. 5, no. 2, p. 16-22.
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