Doctoral Dissertations


Manoj Kumar

Keywords and Phrases

Adaptive Control; Distributed Parameter System; Optimal Control; Parameter Uncertainty; Partial Differential Equation; Reduced Order Modeling


"The study presents optimization based control design techniques for the systems that are governed by partial differential equations. A control technique is developed for systems that are actuated at the boundary. The principles of dynamic inversion and constrained optimization theory are used to formulate a feedback controller. This control technique is demonstrated for heat equations and thermal convection loops. This technique is extended to address a practical issue of parameter uncertainty in a class of systems. An estimator is defined for unknown parameters in the system. The Lyapunov stability theory is used to derive an update law of these parameters. The estimator is used to design an adaptive controller for the system. A second control technique is presented for a class of second order systems that are actuated in-domain. The technique of proper orthogonal decomposition is used first to develop an approximate model. This model is then used to design optimal feedback controller. Approximate dynamic programming based neural network architecture is used to synthesize a sub-optimal controller. This control technique is demonstrated to stabilize the heave dynamics of a flexible aircraft wings. The third technique is focused on the optimal control of stationary thermally convected fluid flows from the numerical point of view. To overcome the computational requirement, optimization is carried out using reduced order model. The technique of proper orthogonal decomposition is used to develop reduced order model. An example of chemical vapor deposition reactor is considered to examine this control technique"--Abstract, page iii.


Balakrishnan, S. N.

Committee Member(s)

Hosder, Serhat
Landers, Robert G.
Sarangapani, Jagannathan, 1965-
Gosavi, Abhijit


Mechanical and Aerospace Engineering

Degree Name

Ph. D. in Aerospace Engineering


Missouri University of Science and Technology

Publication Date



x, 115 pages

Note about bibliography

Includes bibliographic references (pages 106-114).


© 2015 Manoj Kumar, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Thesis Number

T 11146

Electronic OCLC #