Combining the principles of dynamic inversion and optimization theory, a new approach is presented for stable control of a class of one-dimensional nonlinear distributed parameter systems with a finite number of actuators in the spatial domain. Unlike the existing ''approximate-then-design'' and ''design-then-approximate'' techniques, this approach does not use any approximation either of the system dynamics or of the resulting controller. The formulation has more practical significance because one can implement a set of discrete controllers with relative ease. To demonstrate the potential of the proposed technique, a real-life temperature control problem for a heat transfer application is solved through simulations. Numerical results are presented which show that the desired temperature profile can be achieved starting from any initial temperature profile.
R. Padhi and S. N. Balakrishnan, "Optimal Control of a Class of One-Dimensional Nonlinear Distributed Parameter Systems with Discrete Actuators," Proceedings of the 2005, American Control Conference, 2005, Institute of Electrical and Electronics Engineers (IEEE), Jan 2005.
The definitive version is available at https://doi.org/10.1109/ACC.2005.1470584
2005, American Control Conference, 2005
Mechanical and Aerospace Engineering
Keywords and Phrases
Actuators; Approximate-Then-Design; Design-Then-Approximate; Discrete Actuators; Discrete Controllers; Distributed Parameter Systems; Dynamic Inversion; Heat Transfer; Nonlinear Control Systems; Nonlinear Distributed Parameter Systems; Optimal Control; Optimisation; Optimization Theory; Stability; Temperature Control; Temperature Profile
International Standard Serial Number (ISSN)
Article - Conference proceedings
© 2005 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Jan 2005