On the synthesis of robust PID controllers for plants with structured and unstructured uncertainty

International Journal of Robust and Nonlinear Control

Volumn 15, Issue 6, 2005, Pages 269-285

  Ho, Ming Tzu ^a   Huang, Sheng Tsai ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

PID control; Robust performance; Robust stability; Structured uncertainty; Unstructured uncertainty

Indexed keywords

ALGORITHMS; AUTOMATION; COMPUTATIONAL COMPLEXITY; CONTROL SYSTEM ANALYSIS; LINEAR SYSTEMS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SYNTHESIS (CHEMICAL);

PID CONTROL; ROBUST PERFORMANCE; STRUCTURED UNCERTAINTY; UNSTRUCTURED UNCERTAINTY;

THREE TERM CONTROL SYSTEMS;

EID: 20444411518     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/rnc.988     Document Type: Article

References (27)

1. Kimura H. Robust stabilizability for a class of transfer functions. IEEE Transactions on Automatic Control 1984; AC-29:788-793.
2. Kwakernaak H. Minimax frequency domain performance and robustness optimization of linear feedback systems. IEEE Transactions on Automatic Control 1985; AC-30:994-1004.
3. ∞ Control Theory, Lecture Notes in Control and Information Sciences, vol. 88. Springer: New York, 1987.
4. ∞ control problems. IEEE Transactions on Automatic Control 1989; AC-34:831-847.
5. Balas GJ, Doyle JC, Glover K, Packard A, Smith R. μ-Analysis and Synthesis ToolBox. Mathworks: Natick, MA, 1993.
6. Zhou K, Doyle JC, Glover K. Robust and Optimal Control. Prentice-Hall: Upper Saddle River, NJ, 1996.
7. Bhattacharyya SP, Chapellat H, Keel LH. Robust Control: The Parametric Approach. Prentice-Hall: Upper Saddle River, NJ, 1995.
8. Kharitonov VL. Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. Differential Uravnen 1978; 14:2086-2088
9. (Translation in Differential Equations 1979; 14:1483-1485).
10. Chapellat H, Dahleh M, Bhattacharyya SP. Robust stability under structured and unstructured perturbations. IEEE Transactions on Automatic Control 1990; AC-35:1100-1108.
11. Dahleh M, Tesi A, Vicino A. Robust stability and performance of interval plants. Systems and Control Letters 1992; 19:253-363.
12. Dahleh M, Tesi A, Vicino A. An overview of extremal properties for robust control of interval plants. Automatica 1993; 29(3):707-721.
13. ∞ methods. Proceedings of the 32nd IEEE Conference on Decision and Control, December 1993; 3003-3008.
14. ∞-based synthesis for a robust controller of interval plants. Automatica 1996; 32(11): 1575-1579.
15. Rantzer A, Megretski A. A convex parameterization of robustly stabilizing controllers. IEEE Transactions on Automatic Control 1994; AC-39:1802-1808.
16. Abdallah C, Dorato P, Perez F, Docampo D. Controller synthesis for a class of interval plants. Automatica 1995; 31(2):341-343.
17. Datta A, Ho MT, Bhattacharyya SP. Structure and Synthesis of PID Controllers. Springer: London, U.K., 2000.
18. Ho MT, Datta A, Bhattacharyya SP. Robust and non-fragile PID controller design. International Journal of Robust and Nonlinear Control 2001; 11:681-708.
19. Henrion D, Bachelier O. Low-order controller design for interval plants. International Journal of Control 2001; 74:1-9.
20. ∞ PID controllers: a parametric approach. Automatica 2003; 39:1069-1075.
21. Ho MT, Lin CY. PID controller design for robust performance. IEEE Transactions on Automatic Control 2003; 48:1404-1409.
22. Desoer CA, Vidyasagar M. Feedback Systems; Input-Output Properties. Academic Press: New York, 1975.
23. Cho TS, Choi SW, Kim YC. Robust design of PID controller for interval plants. Proceedings of SICE 1999, July 1999; 933-936.
24. Rantzer A. Stability conditions for polytopes of polynomials. IEEE Transactions on Automatic Control 1992; AC-37:79-89.
25. Dyer ME. The complexity of vertex enumeration methods. Mathematics of Operations Research 1983; 8:381-402.
26. Avis D, Fukuda K. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Discrete and Computational Geometry 1992; 8:295-313.
27. Söylemez MT, Munro N, Baki H. Fast calculation of stabilizing PID controllers. Automatica 2003; 39:121-126.