By Prashant Mhaskar
Fault-Tolerant approach keep an eye on specializes in the improvement of basic, but functional, tools for the layout of complex fault-tolerant keep an eye on structures; those be sure a good fault detection and a well timed reaction to augment fault restoration, hinder faults from propagating or constructing into overall mess ups, and decrease the chance of safeguard risks. To this finish, tools are offered for the layout of complicated fault-tolerant keep an eye on platforms for chemical methods which explicitly care for actuator/controller mess ups and sensor faults and knowledge losses. particularly, the ebook places ahead: · A framework for detection, isolation and prognosis of actuator and sensor faults for nonlinear platforms; · Controller reconfiguration and safe-parking-based fault-handling methodologies; · Integrated-data- and model-based fault-detection and isolation and fault-tolerant regulate tools; · equipment for dealing with sensor faults and knowledge losses; and · equipment for tracking the functionality of low-level PID loops. The methodologies proposed hire nonlinear platforms research, Lyapunov innovations, optimization, statistical equipment and hybrid structures concept and are predicated upon the assumption of integrating fault-detection, neighborhood suggestions keep watch over, and supervisory regulate. The applicability and function of the equipment are verified via a few chemical technique examples. Fault-Tolerant strategy keep an eye on is a precious source for educational researchers, commercial practitioners in addition to graduate scholars pursuing examine during this sector.
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Extra info for Fault-Tolerant Process Control: Methods and Applications
The nominal stability of the process is guaranteed by placing the roots of the polynomial s r + β1 s r−1 + · · · + βr−1 s + βr in the open left-half of the complex plane. 6 Input Constraints The presence of input constraints requires revisiting the concept of the CLF for both linear and nonlinear systems. To understand this, consider a scalar linear system of the form x˙ = αx + βu, with umin ≤ u ≤ umax . For the sake of simplicity and without loss of generality, let us assume umin < 0 < umax and β > 0.
For each value that k assumes in K, the process is controlled via a different manipulated input which defines a given control configuration. , f (0) = 0), gk (x) = 0 ∀x ∈ Rn and that the vector functions f (·) and gk (·) are sufficiently smooth, for all k, on Rn . It is also assumed that for any |uk | ≤ ukmax the solution of the system of Eq. 1) exists and is continuous for all t. 3 Motivating Example To motivate our fault-tolerant control design methodology, we introduce in this section a benchmark chemical reactor example that will be used to illustrate the design and implementation of the fault-tolerant control structure.
33) is said to have relative degree two at x0 . If Lg Lf h(x) = 0 in a neighborhood of x0 , then we continue the differentiation procedure. 7 The system of Eq. 37) Lg Lr−1 f h(x) = 0. 38) If Eq. 38) are valid for all x ∈ Rn , then the relative degree of the system of Eq. 33) is said to be globally defined. Suppose now that the system of Eq. 33) has relative degree r at x0 . Then we can use a change of coordinates and feedback control to locally transform this system into the cascade interconnection of an r-dimensional linear system and an (n − r)-dimensional nonlinear system.