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Feedback Control of a Thermal Fluid Using State Estimation

1998; Taylor & Francis; Volume: 11; Issue: 1-2 Linguagem: Inglês

10.1080/10618569808940867

1061-8562

John A. Burns, B.B. King, D. RUBlO,

Advanced Control Systems Optimization

Abstract In his paper we consider the problem of designing a feedback controller for a thermal fluid. Any practical feedback controller for a fluid flow system must incorporate some type of state estimator. Moreover, regardless of the approach, one must introduce approximations at some point in the analysis. The method presented here uses distributed parameter control theory to guide the design and approximation of practical slate estimators. Wc use finite clement techniques to approximate optimal infinite dimensional controllers based on linear quadratic Gaussian lpar;LQG) and MinMax theory for the Bonssincsq equations. These designs are then compared to full state feedback. We present several numerical experiments and we describe how these techniques can also be applied to sensor placement problems. Keywords: Fluid flow controlstate estimationfinite clement approximation Additional informationNotes on contributorsJ. A. BURNS Corresponding author. This research was supported in part by the Air Force Office of Scientific Research under grant F49620-96-1-0329 and the National Science Foundation under grant DMS-9508773. B. B. KING This research was supported in part by the Air Force Office of Scientific Research under grant F49620-96-1-0329 while the author was a visiting scientist at the Center for Optimal Design and Control. Virginia Polytechnic Institute and Stale University, Bliicksburg. VA 24061-0531. by the Alexander von Humboldt Stiflung while the author held a fellowship at Univcrsilal Trier. Germany, and by the National Science Foundation under grant DMS-9622842. D. RUBlO This research was supported in part by the Air Force Office of-Scicnlific Research under grant F49620-96-1-0329.