ECE 720 -- Design Project #2

Turbo-Generator Model -- LQG/LTR Design

ECE 720, Spring 1996, Assigned 3/7/96, Due 5/9/96

The state space model for the turbo-generator is given on pages 406-407 of the text book. It is a 2-input, 2-output, 6-state model given in terms of its continuous-time state space representation. The LQG/LTR design procedure is to be used to design a controller for this system such that the following specifications are satisfied:

the robustness produced by the final compensator should protect against changes in the C matrix of the state-space description of the system;
the closed-loop bandwidth must be approximately 0.5 rad/sec;
the sensitivity must not exceed a value of 0.1 for all frequencies < 0.05 rad/sec for any signal direction;
the amplification from sensor noise input to the output should not exceed 0.002 for any frequency > 50 rad/sec for any signal direction.

Document your design activities in a final report. Include singular value plots of the sensitivity, complementary sensitivity, return ratio, and return difference for each of the following stages of your design:
1. the given system;
2. the final design of the Kalman filter;
3. at least one intermediate Kalman filter design;
4. the initial LQG design;
5. the final LQG/LTR design; and
6. at least one intermediate LQG/LTR design.
Discuss your design procedures, and evaluate your results in terms of the specifications. Describe the goal that you had for each step in your design procedure and how that step led to the satisfaction of the specifications. Discuss your final design in terms of its complexity, the on-line computational burden of the controller, the ease of the design process, and the expected performance of the closed-loop system.

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Latest revision was made on 05/09/01 04:44 PM