Fault-Tolerant Control Design for over-actuated System conditioned by Reliability: a Drinking Water Network Application.

A optimal control law synthesis conditioned by the reliability of actuators in the presence of failures is presented in this paper. The aim is to preserve the health of the actuators and the availability of overactuatued system both in the nominal situation and in the presence of some actuator failures. The reliability assessment is computed by Bayesian Network since it is well suited to model the reliability of complex systems with simple parameter matrices and also to compute actuators reliability given evidences through the bayesian inference. It is applied on a system to estimate its reliability and those of its components and provide the parameters to synthesize the control laws. The effectiveness and the performances of the developed method are illustrated on a subsystem of a drinking water network.

[1]  Torkel Glad,et al.  Resolving actuator redundancy - optimal control vs. control allocation , 2005, Autom..

[2]  Benoît Iung,et al.  Overview on Bayesian networks applications for dependability, risk analysis and maintenance areas , 2012, Eng. Appl. Artif. Intell..

[3]  Finn Verner Jensen,et al.  Introduction to Bayesian Networks , 2008, Innovations in Bayesian Networks.

[4]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[5]  Philippe Weber,et al.  Dynamic Bayesian Networks Modelling the Dependability of Systems with Degradations and Exogenous Constraints , 2004 .

[6]  Wayne C. Durham.  Constrained Control Allocation , 1992 .

[7]  D. D. Baumann,et al.  Urban Water Demand Management and Planning , 1997 .

[8]  Richard E. Barlow,et al.  Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .

[9]  John Quigley,et al.  Advances in Mathematical Modeling for Reliability , 2008 .

[10]  Frank T.-C. Tsai,et al.  Optimization of Water Distribution and Water Quality by Hybrid Genetic Algorithm , 2005 .

[11]  Patrizio Colaneri,et al.  An MPC approach to the design of two-layer hierarchical control systems , 2010, Autom..

[12]  H. Langseth.  Bayesian Networks in Reliability : The Good , the Bad , and the Ugly , 2007 .

[13]  Philippe Weber,et al.  Reconfigurable control design for over-actuated systems based on reliability indicators , 2010, 2010 Conference on Control and Fault-Tolerant Systems (SysTol).

[14]  Gabriela Cembrano,et al.  Improving water management efficiency by using optimization-based control strategies: the Barcelona case study , 2009 .

[15]  Didier Theilliol,et al.  Fault-tolerant Control Systems: Design and Practical Applications , 2009 .