Time Domain Analysis and Synthesis of Robust Controllers for Large Scale LQG (Linear Quadratic Gaussian) Regulators.
Final rept. 1 Sep 82-31 Aug 83,
STEVENS INST OF TECH HOBOKEN N J DEPT OF MECHANICAL ENGINEERING
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The aspect of Robustness for linear multivariable systems is analyzed in time domain. Both Stability Robustness and Performance Robustness are combinedly considered to meet stability and performance requirements. First a stability robustness condition in time domain in terms of eigenvalues is presented and examples are given which indicate that the proposed robustness condition is less conservative then the corresponding frequency domain condition as well as another recently proposed time domain condition, both given in terms of singular values. Next a technique is presented to further reduce the conservatism of the proposed condition. A design algorithm that incorporates both stability robustness and performance robustness into the design procedure suggested in the summer faculty program report, is modified with the help of new definitions of robustness indices. Computer software to implement the algorithm is presented along with simple examples to illustrate the concepts. Based on the experience gained by the minigrant research, areas of future research are recommended. Author
- Theoretical Mathematics
- Computer Programming and Software
- Test Facilities, Equipment and Methods