Leseprobe
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Auxiliary Signal Design for Failure Detection
Ramine Nikoukhah, Stephen L. Campbell
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
Many industries, such as transportation and manufacturing, use control systems to insure that parameters such as temperature or altitude behave in a desirable way over time. For example, pilots need assurance that the plane they are flying will maintain a particular heading. An integral part of control systems is a mechanism for failure detection to insure safety and reliability.
This book offers an alternative failure detection approach that addresses two of the fundamental problems in the safe and efficient operation of modern control systems: failure detection--deciding when a failure has occurred--and model identification--deciding which kind of failure has occurred. Much of the work in both categories has been based on statistical methods and under the assumption that a given system was monitored passively.
Campbell and Nikoukhah's book proposes an "active" multimodel approach. It calls for applying an auxiliary signal that will affect the output so that it can be used to easily determine if there has been a failure and what type of failure it is. This auxiliary signal must be kept small, and often brief in duration, in order not to interfere with system performance and to ensure timely detection of the failure. The approach is robust and uses tools from robust control theory. Unlike some approaches, it is applicable to complex systems. The authors present the theory in a rigorous and intuitive manner and provide practical algorithms for implementation of the procedures.
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Prediction, Control variable, Limit point, Additive white Gaussian noise, Maxima and minima, A priori estimate, Condition number, Equation, Gain scheduling, Mathematical problem, Calculation, Partial differential equation, Measurement, Mathematical optimization, Boundary value problem, Engineering, Trade-off, Discretization, Parameter, Pointwise, Uncertainty, Least squares, Abuse of notation, Optimal control, Scilab, Estimation, Engineering design process, Asymptotic analysis, Optimization problem, Piecewise, Transient response, Deterministic system, Method of lines, Control theory, Probability, Time complexity, Approximation, Differential equation, Linearization, Stochastic Modeling, Bisection method, Computation, Initial condition, Decision theory, Special case, Diagram (category theory), Nonlinear programming, Stochastic calculus, Stochastic, Nonlinear control, Likelihood function, Dynamic programming, Observational error, Shift operator, Sampling (signal processing), Detection, Catastrophic failure, Estimation theory, Algorithm, Integrator, Likelihood-ratio test, Stochastic process, Transfer function, Stochastic interpretation, Laplace transform, Error message, Derivative, Open problem, Riccati equation, Remedial action