Open Access

Robust Gain-Scheduled PID Control: A Parameter Dependent BMI Solution


Cite

1. Ang, K. H., G. Chong, Y. Li. PID Control System Analysis, Design, and Technology. – IEEE Transactions on Control Systems Technology, Vol. 13, 2005, No 4, pp. 559-576.10.1109/TCST.2005.847331Search in Google Scholar

2. Shamma, J. S., M. Athans. Analysis of Gain Scheduled Control for Nonlinear Plants. – IEEE Transactions on Automatic Control, Vol. 35, 1990, No 8, pp. 898-907.10.1109/9.58498Search in Google Scholar

3. Leith, D. J., W. E. Leithead. Survey of Gain-Scheduling Analysis and Design. – International Journal of Control, Vol. 73, 2000, No 11, pp. 1001-1025.10.1080/002071700411304Search in Google Scholar

4. Shamma, J. S., M. Athans. Gain Scheduling: Potential Hazards and Possible Remedies. IEEE Control Systems Magazine, Vol. 12, 1992, No 3, pp. 101-107.10.1109/37.165527Search in Google Scholar

5. Shamma, J. S. Analysis and Design of Gain Scheduled Control Systems. Doctoral Dissertation. Massachusetts Institute of Technology, 1988.Search in Google Scholar

6. Shamma, J. S. An Overview of LPV Systems. – In: Control of Linear Parameter Varying Systems with Applications, Springer, USA, 2012, pp. 3-26.10.1007/978-1-4614-1833-7_1Search in Google Scholar

7. Shao, P., J. Wu, C. Wu et al. Model and Robust Gain-Scheduled PID Control of a Bio-Inspired Morphing UAV Based on LPV Method. – Asian Journal of Control, Vol. 21, 2019, No 4, pp. 1681-1705.10.1002/asjc.2187Search in Google Scholar

8. Wu, F., X. H. Yang, A. Packard, G. Becker. Induced L 2-Norm Control for LPV System with Bounded Parameter Variation Rates. – In: Proc. of American Control Conference, IEEE, Vol. 3, June 1995, pp. 2379-2383.Search in Google Scholar

9. Becker, G., A. Packard. Robust Performance of Linear Parametrically Varying Systems Using Parametrically-Dependent Linear Feedback. – Systems & Control Letters, Vol. 23, 1994, No 3, pp. 205-215.10.1016/0167-6911(94)90006-XSearch in Google Scholar

10. Mattei, M. Robust Multivariable PID Control for Linear Parameter Varying Systems. – Automatica, Vol. 37, 2001, No 12, pp. 1997-2003.10.1016/S0005-1098(01)00156-XSearch in Google Scholar

11. Bianchi, F. D., R. J. Mantz, C. F. Christiansen. Multivariable PID Control with Set-Point Weighting via BMI Optimisation. – Automatica, Vol. 44, 2008, No 2, pp. 472-478.10.1016/j.automatica.2007.05.021Search in Google Scholar

12. Veselý, V., A. Ilka. Generalized Robust Gain-Scheduled PID Controller Design for Affine LPV Systems with Polytopic Uncertainty. – Systems & Control Letters, Vol. 105, 2017, pp. 6-13.10.1016/j.sysconle.2017.04.005Search in Google Scholar

13. Wang, Y., R. Rajamani. A Sequential LMI Approach for Design of a Gain-Scheduled PID Controller for LPV Systems. – In: ASME 2017 Dynamic Systems and Control Conference, American Society of Mechanical Engineers, 2017.10.1115/DSCC2017-5199Search in Google Scholar

14. Veselý, V., A. Ilka. Design of Robust Gain-Scheduled PI Controllers. – Journal of the Franklin Institute, Vol. 352, 2015, No 4, pp. 1476-1494.10.1016/j.jfranklin.2015.01.009Search in Google Scholar

15. Shao, P., J. Wu, C. Wu, S. Ma. Model and Robust Gain-Scheduled PID Control of a Bio-Inspired Morphing UAV Based on LPV Method. – Asian Journal of Control, Vol. 21, 2019, pp. 1681-1705.10.1002/asjc.2187Search in Google Scholar

16. Sturm, J. F. Using SeDuMi 1.02, a MATLAB Toolbox for Optimization over Symmetric Cones. – Optimization Methods and Software, Vol. 11, 1999, No 1-4, pp. 625-653.10.1080/10556789908805766Search in Google Scholar

eISSN:
1314-4081
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Information Technology