Robust control using interval analysis

Reliable Computing

Volumn 7, Issue 3, 2001, Pages 219-230

  Shashikhin, Vladimir N ^a  

^a PETER THE GREAT ST PETERSBURG POLYTECHNIC UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035371477     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011446804678     Document Type: Article

References (22)

1. Andronov, A. A. and Pontryagin, L. S.: Robust System, Reports of Academy of Sciences of the USSR 14 (1937), pp. 356-359 (in Russian).
2. Bhattacharyya, S. P., Chapellat, H., and Keel, L. H.: Robust Control: The Parametric Approach, Prentice Hall PTR, Upper Saddle River, NJ, 1995.
3. Boyd, S. P., El Ghqoui, L., Feron, E., and Balakrishman, V.: Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.
4. Chang, S. S. L. and Peng, T. K. C.: Adaptive Guaranteed Cost Control of Systems with Uncertain Parameters, IEEE Trans. Autom. Control AC-17 (1972), pp. 474-483.
5. Dobronets, B. S. and Shaidurov, V. V.: Two-Side Numerical Methods, Novosibirsk, Nauka, 1990 (in Russian).
6. Douglas, J. and Alhans, M.: Robust Linear Quadratic Design with Real Parameter Uncertainty, IEEE Trans. Autom. Control AC-39 (1994), pp. 107-111.
7. ∞ Control Problem, IEEE Trans. Autom. Control AC-34 (8) (1989), pp. 831-847.
8. Feron, E., Apkarian, P., and Gahinet, P.: Analysis and Synthesis of Robust Control System via Parameter-Dependent Lyapunov Function, IEEE Trans. Autom. Control AC-40 (1996), pp. 1041-1046.
9. ∞ Control Theory, Springer Verlag, 1987.
10. ∞ Optimality Criterion, SIAM J. Contr. Opt. 25 (1987), pp. 815-844.
11. Ikeda, M. and Ashida, T.: Stabilization of Linear Systems with Time Delay, IEEE Trans. Autom. Control 24 (1979), pp. 369-370.
12. Krasovkii, N. N.: Some Problems of Stable Theory of Motion, Nauka, Moscow, 1959 (in Russian).
13. Olas, A.: Construction of Optimal Lyapunov Function for System with Structured Uncertainties, IEEE Trans. Autom. Control AC-39 (1994), pp. 167-171.
14. Petersen, T. R. and Hollot, C. V.: Riccati Equation Approach to the Stabilization of Uncertain Linear Systems, Automatica 22 (1986), pp. 397-411.
15. Petersen, T. R. and McFarlane, D. C.: Optimal Guaranteed Cost Control and Filtering for Uncertain Linear Systems, IEEE Trans. Autom. Control AC-39 (1994), pp. 1971-1977.
16. Razumikhin, B. S.: Using Lyapunov Method to Some Problems of Stability of System with Time Delay, Automation and Telemechanics 21 (1960), pp. 740-748 (in Russian).
17. Sendov, B.: Some Topics of Segment Analysis, in: Nickel, K. (ed.), Interval Mathematics, Academic Press, New York, 1980, pp. 203-222.
18. Shary, S. P.: Outer Estimation of Generalized Solution Sets to Interval Linear Systems, Reliable Computing 5 (3) (1999), pp. 323-335.
19. Shashikhin, V. N.: Hierarchical Optimization of Large Scale Systems with Time Delay, Automation and Telemechanics 4 (1993), pp. 73-84 (in Russian).
20. Shashikhin, V. N.: Optimization of Nonlinear Systems by Using the Interval Linearization Method, International Journal of Computer and System Sciences 3 (1999), pp. 29-37.
21. Shashikhin, V. N.: Robust Stabilization of Interval Dynamic Systems, International Journal of Computer and Systems Sciences 6 (1996), pp. 47-53.
22. ∞-Control Using Polynomial Matrices and Interval Arithmetic, Reliable Computing 3 (3) (1997), pp. 229-237.