Robustness analysis of an air heating plant and control law by using polynomial chaos
This paper presents a robustness analysis of an air heating plant with a multivariable closedloop control law by using the polynomial chaos methodology (MPC). The plant consists of a PVC tube with a fan in the air input (that forces the air through the tube) and a mass flux sensor in the output. A heating resistance warms the air as it flows inside the tube, and a thermocouple sensor measures the air temperature. The plant has thus two inputs (the fan's rotation intensity and heat generated by the resistance, both measured in percent of the maximum value) and two outputs (air temperature and air mass flux, also in percent of the maximal value). The mathematical model is obtained by System Identification techniques. The mass flux sensor, which is nonlinear, is linearized and the delays in the transfer functions are properly approximated by nonminimum phase transfer functions. The resulting model is transformed to a statespace model, which is used for control design purposes. The multivariable robust control design techniques used is the LQG/LTR, and the controllers are validated in simulation software and in the real plant. Finally, the MPC is applied by considering some of the system's parameters as random variablesmore »
 Authors:

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 University of São Paulo, Polytechnic School, LAC PTC, São Paulo (Brazil)
 São Paulo State University  Sorocaba Campus, Sorocaba (Brazil)
 São Paulo State University  Rio Claro Campus, Rio Claro (Brazil)
 University of Brasilia, Brasilia (Brazil)
 Publication Date:
 OSTI Identifier:
 22390783
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 1637; Journal Issue: 1; Conference: ICNPAA 2014: 10. International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Narvik (Norway), 1518 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AIR; APPROXIMATIONS; CHAOS THEORY; CLOSEDLOOP CONTROL; COMPUTER CODES; COMPUTERIZED SIMULATION; DIFFERENTIAL EQUATIONS; HEATING; MASS; MATHEMATICAL MODELS; NONLINEAR PROBLEMS; POLYNOMIALS; PVC; RANDOMNESS; ROTATION; SENSORS; STOCHASTIC PROCESSES; TRANSFER FUNCTIONS; TUBES