Algorithms in Engineering Control Systems

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Increasing requirements for design of system with increased fault tolerance is the current trend in design of control systems. Since the majority of real control systems are non- linear, algorithms dealing with a class of non-linear systems use the approach of Takagi-Sugeno fuzzy models. These algorithms deals with fault diagnosis, reconfiguration of the system and solve problems related to the constraints of the system and the time delay that occurs in complex control systems. All real systems in nature, such as physical, biological and engineering systems, are susceptible to defects of its compo- nents. Therefore the basic requirement in industrial automation is the reliability of the systems. In the technical automatic control systems, faults may occur in sensors, actuators or com- ponents of the systems. Effective way to ensure the reliability of the systems is to use a fault tolerant control (FTC). Its task is to avoid the expansion of the local faults into the system failure under which system may discontinue activity and jeopardize the safety of the whole system for personnel and environment. The main task of the FTC’s proposal is therefore to design a system that works reliably in dynamic and steady state not only for nominal operation, but also in case of fault, so that the system is able to return to its original condition before the fault occurrence. Fault tolerance is achieved on the basis of the so-called functional (analytical, inherent, custom) redundancy, which unlike physical redundancy (redundancy by technical means) uses the redundancy inherent in dynamic or static dependencies of technological parameters (variables mutually bound by technological process). Fault tolerant control systems and related control pr... ... middle of paper ... ... pp. 330–333. [5] A. Filasová, D. Krokavec, and V. Serbák, “Control reconfiguration for one class of takagi-sugeno fuzzy siso systems,” in Advances in Intelligent Systems and Computing : Intelligent Systems in Technical and Medical Diagnostics, vol. 230. Berlin Heidelberg : Springer, 2014, pp. 53–64. [6] T. Kailath, “Linear systems.” Prentice-Hall Englewood Cliffs, 1980. [7] D. Krokavec and A. Filasová, “Dynamic systems diagnosis.” Elfa, Košice Slovakia, 2006. [8] Y. Kouhi and N. Bajcinca, “Nonsmooth control design for stabilizing switched linear systems by left eigenstructure assignment,” in Prepr. 18th IFAC World Congress. Milano, Italy, 2011, pp. 380––385. [9] D. Krokavec and A. Filasová, “Novel fault detection criteria based on linear quadratic control performances,” in International Journal of Applied Mathematics and Computer Science, vol. 22, 2012, pp. 929–938.

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