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.

Meeting Name

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)


Document Type

Article - Conference proceedings

Document Version

Final Version

File Type





© 2005 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jan 2005