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Volumn 60, Issue 5, 1994, Pages 905-951

Extensions of mixed-µ bounds to monotonic and odd monotonic nonlinearities using absolute stability theory

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EID: 0010734077     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179408921501     Document Type: Article
Times cited : (38)

References (48)
  • 2
    • 0001076547 scopus 로고
    • A system theory criterion for positive real matrices
    • Anderson, B. D. O., 1967, A system theory criterion for positive real matrices. SIAM Journal on Control and Optimization, 5, 171-182.
    • (1967) SIAM Journal on Control and Optimization , vol.5 , pp. 171-182
    • Anderson, B.1
  • 4
    • 0024628058 scopus 로고
    • LQG control with an performance bound: A Riccati equation approach
    • 1990, Robust stability and performance via fixed-order dynamic compensation with guaranteed cost bounds. Mathematics in Control Signal Systems, 3, 139-163
    • Bernstein, D. S., and Haddad, W. M., 1989, LQG control with an performance bound: A Riccati equation approach. IEEE Transactions on Automatic Control, 34, 293-305; 1990, Robust stability and performance via fixed-order dynamic compensation with guaranteed cost bounds. Mathematics in Control Signal Systems, 3, 139-163.
    • (1989) IEEE Transactions on Automatic Control , vol.34 , pp. 293-305
    • Bernstein, D.S.1    Haddad, W.M.2
  • 5
    • 3743103446 scopus 로고
    • Optimal projection for uncertain systems (OPUS): A unified theory of reduced order, robust control design
    • edited by S. N. Atluri, and A. K. Amos (New York: Springer-Verlag
    • Bernstein, D. S., and Hyland, D. C., 1988, Optimal projection for uncertain systems (OPUS): A unified theory of reduced order, robust control design. In Large Space Structures: Dynamics and Control, edited by S. N. Atluri, and A. K. Amos (New York: Springer-Verlag), pp. 263-302.
    • (1988) Large Space Structures: Dynamics and Control , pp. 263-302
    • Bernstein, D.S.1    Hyland, D.C.2
  • 7
    • 0021500988 scopus 로고
    • Experiments in control of flexible structures with noncolocated sensors and actuators. AIAA Journal of Guidance
    • Cannon, R. H., and Rosenthal, D. E., 1984, Experiments in control of flexible structures with noncolocated sensors and actuators. AIAA Journal of Guidance, Control, and Dynamics, 7, 546-553.
    • (1984) Control, and Dynamics , vol.7 , pp. 546-553
    • Cannon, R.H.1    Rosenthal, D.E.2
  • 8
    • 84937742969 scopus 로고
    • An off-axis circle criterion for the stability of feedback systems with a monotonic nonlinearity
    • Cho, Y.-S., and Narendra, K. S., 1968, An off-axis circle criterion for the stability of feedback systems with a monotonic nonlinearity. IEEE Transactions on Automatic Control, 13, 413-416.
    • (1968) IEEE Transactions on Automatic Control , vol.13 , pp. 413-416
    • Cho, Y.-S.1    Narendra, K.S.2
  • 9
    • 0028388182 scopus 로고
    • Riccati equation approaches for robust stability and performance analysis using the small gain, positivity, and Popov Theorems, AIAA Journal of Guidance
    • Collins, E. G., Haddad, W. M., and Davis, L. D., 1994, Riccati equation approaches for robust stability and performance analysis using the small gain, positivity, and Popov Theorems, AIAA Journal of Guidance, Control, and Dynamics, 17, 322-329.
    • (1994) Control, and Dynamics , vol.17 , pp. 322-329
    • Collins, E.G.1    Haddad, W.M.2    Davis, L.D.3
  • 11
    • 84948611943 scopus 로고
    • Guaranteed margins for LQG regulators
    • 1982, Analysis of feedback systems with structured uncertainties. Proceedings of the Institution of Electrical Engineers, Ft D, 129, 242-250
    • Doyle, J., 1978, Guaranteed margins for LQG regulators. IEEE Transactions on Automatic Control, 23, 756-757; 1982, Analysis of feedback systems with structured uncertainties. Proceedings of the Institution of Electrical Engineers, Ft D, 129, 242-250
    • (1978) IEEE Transactions on Automatic Control , vol.23 , pp. 756-757
    • Doyle, J.1
  • 13
    • 0025747144 scopus 로고
    • Robustness in the presence of mixed parametric uncertainty and unmodelled dynamics
    • Fan, M. K. H., Tits, A. L., and Doyle, J. C., 1991, Robustness in the presence of mixed parametric uncertainty and unmodelled dynamics. IEEE Transactions on Automatic Control, 36, 25-38.
    • (1991) IEEE Transactions on Automatic Control , vol.36 , pp. 25-38
    • Fan, M.1    Tits, A.L.2    Doyle, J.C.3
  • 16
    • 0026395379 scopus 로고
    • Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis, parts I and II. Proceedings of the
    • to be published in IEEE Transactions on Automatic Control1991 b, Robust stabilization with positive real uncertainty: Beyond the small gain theorem. Systems and Control Letters, 17, 191-208; 1993, Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability part I and II. International Journal of Robust and Nonlinear Control, 3, 313-339
    • Haddad, W. M., and Bernstein, D. S., 1991a, Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis, parts I and II. Proceedings of the IEEE Conference on Decision and Control, pp. 2274-2279, 2632-2633 (to be published in IEEE Transactions on Automatic Control)', 1991 b, Robust stabilization with positive real uncertainty: Beyond the small gain theorem. Systems and Control Letters, 17, 191-208; 1993, Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability part I and II. International Journal of Robust and Nonlinear Control, 3, 313-339.
    • (1991) IEEE Conference on Decision and Control
    • Haddad, W.M.1    Bernstein, D.S.2
  • 17
    • 0040739268 scopus 로고
    • edited by C. I. Byrnes, C. F. Martin and R. E. Saeks (Amsterdam: North Holland)
    • Hill, D. J., 1988, Dissipativeness, stability theory and some remaining problems. Analysis and Control of Nonlinear Systems edited by C. I. Byrnes, C. F. Martin and R. E. Saeks (Amsterdam: North Holland).
    • (1988) Dissipativeness, Stability Theory and Some Remaining Problems
    • Hill, D.J.1
  • 18
    • 0019020679 scopus 로고
    • Dissipative dynamical systems: Basic input-output and state properties
    • Hill, D. J., and Moylan, P. J., 1980, Dissipative dynamical systems: Basic input-output and state properties. Journal of the Franklin Institute, 309, 327-357.
    • (1980) Journal of the Franklin Institute , vol.309 , pp. 327-357
    • Hill, D.J.1    Moylan, P.J.2
  • 21
    • 84992376402 scopus 로고
    • Application of Popov controller synthesis to Benchmark problems with real parameter uncertainty
    • submitted for publication; 1992 b, Robust control synthesis examples with real parameter uncertainty using the Popov criterion. Submitted to 1993 American Control Conference
    • How, J. P., Haddad, W. M., and Hall, S. R., 1992a, Application of Popov controller synthesis to Benchmark problems with real parameter uncertainty. AIAA Journal of Guidance, Control, and Dynamics, submitted for publication; 1992 b, Robust control synthesis examples with real parameter uncertainty using the Popov criterion. Submitted to 1993 American Control Conference.
    • (1992) AIAA Journal of Guidance, Control, and Dynamics
    • How, J.P.1    Haddad, W.M.2    Hall, S.R.3
  • 22
    • 0021531885 scopus 로고
    • The optimal projection equations for fixed-order dynamic compensation
    • Hyland, D. C., and Bernstein, D. S., 1985, The optimal projection equations for fixed-order dynamic compensation. IEEE Transactions on Automatic Control, 29, 1034-1037.
    • (1985) IEEE Transactions on Automatic Control , vol.29 , pp. 1034-1037
    • Hyland, D.C.1    Bernstein, D.S.2
  • 23
    • 0025399146 scopus 로고
    • Robust stabilization of uncertain linear systems: Quadratic stabilizability and control theory
    • Kharconekar, P. P., Petersen, I. R., and Zhou, K., 1990, Robust stabilization of uncertain linear systems: Quadratic stabilizability and control theory. IEEE Transactions on Automatic Control, 35, 356-361.
    • (1990) IEEE Transactions on Automatic Control , vol.35 , pp. 356-361
    • Kharconekar, P.P.1    Petersen, I.R.2    Zhou, K.3
  • 26
    • 0018519791 scopus 로고
    • Guaranteed asymptotic stability for some linear systems with bounded uncertainties
    • Leitmann, G., 1979, Guaranteed asymptotic stability for some linear systems with bounded uncertainties. Transactions of the American Society of Mechanical Engineers, 101, 212-216.
    • (1979) Transactions of the American Society of Mechanical Engineers , vol.101 , pp. 212-216
    • Leitmann, G.1
  • 28
    • 1642619312 scopus 로고
    • Stability of feedback systems containing a single odd monotonic nonlinearity
    • Narendra, K. S., and Cho, Y.-S., 1967, Stability of feedback systems containing a single odd monotonic nonlinearity. IEEE Transactions on Automatic Control, 12, 448-450.
    • (1967) IEEE Transactions on Automatic Control , vol.12 , pp. 448-450
    • Narendra, K.S.1    Cho, Y.-S.2
  • 29
    • 0011744158 scopus 로고
    • Stability of a class of differential equations with a single monotone nonlinearity
    • Narendra, K. S., and Neuman, C. P., 1966, Stability of a class of differential equations with a single monotone nonlinearity. SIAM Journal on Control, 4, 295-308.
    • (1966) SIAM Journal on Control , vol.4 , pp. 295-308
    • Narendra, K.S.1    Neuman, C.P.2
  • 31
    • 0025386095 scopus 로고
    • Quadratic stability with real and complex perturbations
    • Packard, A., and Doyle, J. C., 1990, Quadratic stability with real and complex perturbations. IEEE Transactions on Automatic Control, 35, 198-201.
    • (1990) IEEE Transactions on Automatic Control , vol.35 , pp. 198-201
    • Packard, A.1    Doyle, J.C.2
  • 34
    • 0001328414 scopus 로고
    • On absolute stability of non-linear automatic control systems
    • Popov, V. M., 1961, On absolute stability of non-linear automatic control systems. Auto- matika I Telemekhanika, 22, 961-979.
    • (1961) Auto- Matika I Telemekhanika , vol.22 , pp. 961-979
    • Popov, V.M.1
  • 36
    • 0002199472 scopus 로고
    • Stability analysis of nonlinear control systems by the second method of Liapunov
    • Rekasius, Z. V., and Gibson, J. E., 1962, Stability analysis of nonlinear control systems by the second method of Liapunov. IRE Transactions on Automatic Control, 3-15.
    • (1962) IRE Transactions on Automatic Control , pp. 3-15
    • Rekasius, Z.V.1    Gibson, J.E.2
  • 38
    • 0023562551 scopus 로고
    • Computer-aided stability analysis renders Popov criterion obsolete
    • Safonov, M. G., and Wyetizner, G., 1987, Computer-aided stability analysis renders Popov criterion obsolete. IEEE Transactions on Automatic Control, 32, 1128-1131.
    • (1987) IEEE Transactions on Automatic Control , vol.32 , pp. 1128-1131
    • Safonov, M.G.1    Wyetizner, G.2
  • 39
    • 84949059182 scopus 로고
    • Personal Communications
    • Siuak, D. D., 1987, 1990, Personal Communications.
    • (1987)
    • Siuak, D.D.1
  • 42
    • 0002814469 scopus 로고
    • The dissipation inequality and the algebraic Riccati equation
    • edited by S. Bittanti, A. Laub and J. C. Willems, (New York: Springer-Verlag
    • Trentelman, H. L., and Willems, J. C., 1991, The dissipation inequality and the algebraic Riccati equation. In The Riccati Equation, edited by S. Bittanti, A. Laub and J. C. Willems, (New York: Springer-Verlag), pp. 197-242.
    • (1991) The Riccati Equation , pp. 197-242
    • Trentelman, H.L.1    Willems, J.C.2
  • 43
    • 0003509637 scopus 로고
    • second edition (Englewood Cliffs, NJ: Prentice-Hall)
    • Vidyasagar, M., 1992, Nonlinear Systems Analysis, second edition (Englewood Cliffs, NJ: Prentice-Hall).
    • (1992) Nonlinear Systems Analysis
    • Vidyasagar, M.1
  • 44
    • 0024091523 scopus 로고
    • Time domain and frequency domain conditions for strict positive realness
    • Wen, J. T., 1988, Time domain and frequency domain conditions for strict positive realness. IEEE Transactions on Automatic Control, 33, 988-992.
    • (1988) IEEE Transactions on Automatic Control , vol.33 , pp. 988-992
    • Wen, J.T.1
  • 45
    • 34250464350 scopus 로고
    • Dissipative dynamical systems parts I and II
    • Willems, J. C., 1972, Dissipative dynamical systems parts I and II. Archive Rational Mechanics Analysis, 45, 321-351, 352-393.
    • (1972) Archive Rational Mechanics Analysis , vol.45
    • Willems, J.C.1
  • 47
    • 84938017582 scopus 로고
    • On the input-output stability of time-varying nonlinear feedback systems part I and II
    • Zames, G., 1966, On the input-output stability of time-varying nonlinear feedback systems part I and II. IEEE Transactions on Automatic Control, 11, 228-238, 465-476.
    • (1966) IEEE Transactions on Automatic Control , vol.11
    • Zames, G.1
  • 48
    • 0003045204 scopus 로고
    • Stability conditions for systems with monotone and slope-restricted nonlinearities
    • Zames, G., and Falb, P., 1968, Stability conditions for systems with monotone and slope-restricted nonlinearities. SIAM Journal on Control, 6, 89-108
    • (1968) SIAM Journal on Control , vol.6 , pp. 89-108
    • Zames, G.1    Falb, P.2


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