Date of Award

Summer 2009

Document Type

Thesis - Restricted

Degree Name

Master of Science (MS)


Electrical and Computer Engineering

First Advisor

Yaz, Edwin E.

Second Advisor

Schneider, Susan C.

Third Advisor

Jeong, Chung


This thesis addresses the problem of robust and resilient linear state feedback controller design using linear matrix inequalities for a class of discrete-time nonlinear systems with conic type nonlinearities and driven by finite energy disturbances. Unlike linear time-invariant systems, nonlinear systems driven by disturbances can not be controlled or stabilized by classical control techniques. First, a method for robust control design for discrete time conic nonlinear systems is provided. The state feedback gain is found by solving linear matrix inequalities for various performance criteria in a unified framework. Then, the work is extended for the feedback gain to be resilient against additive bounded feedback gain perturbations. Perturbation bounds and the magnitude of the maximum allowable perturbations in different directions are found. Linear matrix inequalities technique is the major tool used in this thesis. The result developed in this thesis can be used in designing state space control techniques to guarantee the satisfaction of control objectives in the presence of finite energy disturbances and unmodeled perturbations both in the system dynamics and the control gain. Several illustrative simulation examples are included to show the effectiveness of the proposed methodology.



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