Year 2006,
Volume: 6 Issue: 1, 19 - 26, 02.01.2012
Abstract
References
- Ackermann, J., Kaesbauer, D., Bajcinca, N., “Discrete-Time Robust PID And Three Term Control”, XV IFAC World Congress, Barcelona, Datta, A., Ho, M.T., Bhattacharyya S.P., Structure and Synthesis of PID Controllers, Springer, London, UK, 2000.
- Ho, M.T., Datta, A., Bhattacharyya S.P., “ A Linear Programming Characterization Of All Stabilizing PID Controllers”, Proceedings of the Amer. Contr. Conf., pp. 3922-3928, 1997.
- Keel, L., Bhattacharyya S.P., “Root Counting and Phase Unwrapping With Respect To The Unit circle with applications”, Proc of the 40th IEEE Conf. on Decision and Control, Orlando, Florida USA, pp. 3459-3464, 2001.
- Keel, L., Bhattacharyya S.P., “Root Counting and Phase Unwrapping Stability And Stabilization Of Discrete Time Systems”, Linear Algebra And Its Applications, Vol. 351, No. 352, pp. 501-517, 2002.
- Munro, N., Söylemez, M.T., Baki, H., “Computation Of D-Stabilizing Low-Order Compensators”, Control Systems Centre Report, , UMIST Manchester, 1999.
- Munro, N., Söylemez, M.T.,“Fast Calculation Of Stabilizing PID Controllers For Uncertain Parameter Systems”, IFAC ROCOND, Prague, Czech Republic , 2000.
- Söylemez, M.T., Munro, N., Baki, H., “Fast Calculation Of Stabilizing PID [10] Fox, L., Parker, I.B., Chebyshev Controllers”, Automatica, Vol: 39, No: 1, pp. 121-126, 2003.
- Xu, H., Datta, A., Bhattacharyya S.P., “Computation Of All Stabilizing PID Gains For Digital Control Systems”, IEEE Transactions On Automatic Control. Vol: 46 No: 4, pp. 647-652, Oxford University Press, London, 21-64, 1968.
Year 2006,
Volume: 6 Issue: 1, 19 - 26, 02.01.2012
Abstract
In this paper, two methods for calculating all stabilizing gains for discrete-time systems are given. The first method focuses on converting the problem using a bilinear transformation and then applying a previously developed theorem for continuous time systems. Unlike previous results, the method introduced here does not use the Generalised Hermite-Biehler Theorem and therefore provides a computational advantage. The second method demonstrates the use of Chebyshev Polynomials in the solution of the problem
References
- Ackermann, J., Kaesbauer, D., Bajcinca, N., “Discrete-Time Robust PID And Three Term Control”, XV IFAC World Congress, Barcelona, Datta, A., Ho, M.T., Bhattacharyya S.P., Structure and Synthesis of PID Controllers, Springer, London, UK, 2000.
- Ho, M.T., Datta, A., Bhattacharyya S.P., “ A Linear Programming Characterization Of All Stabilizing PID Controllers”, Proceedings of the Amer. Contr. Conf., pp. 3922-3928, 1997.
- Keel, L., Bhattacharyya S.P., “Root Counting and Phase Unwrapping With Respect To The Unit circle with applications”, Proc of the 40th IEEE Conf. on Decision and Control, Orlando, Florida USA, pp. 3459-3464, 2001.
- Keel, L., Bhattacharyya S.P., “Root Counting and Phase Unwrapping Stability And Stabilization Of Discrete Time Systems”, Linear Algebra And Its Applications, Vol. 351, No. 352, pp. 501-517, 2002.
- Munro, N., Söylemez, M.T., Baki, H., “Computation Of D-Stabilizing Low-Order Compensators”, Control Systems Centre Report, , UMIST Manchester, 1999.
- Munro, N., Söylemez, M.T.,“Fast Calculation Of Stabilizing PID Controllers For Uncertain Parameter Systems”, IFAC ROCOND, Prague, Czech Republic , 2000.
- Söylemez, M.T., Munro, N., Baki, H., “Fast Calculation Of Stabilizing PID [10] Fox, L., Parker, I.B., Chebyshev Controllers”, Automatica, Vol: 39, No: 1, pp. 121-126, 2003.
- Xu, H., Datta, A., Bhattacharyya S.P., “Computation Of All Stabilizing PID Gains For Digital Control Systems”, IEEE Transactions On Automatic Control. Vol: 46 No: 4, pp. 647-652, Oxford University Press, London, 21-64, 1968.
There are 8 citations in total.
Details
| Primary Language | English |
|---|---|
| Authors | |
| Publication Date | January 2, 2012 |
| Published in Issue | Year 2006 Volume: 6 Issue: 1 |