메뉴 건너뛰기




Volumn 66, Issue 6, 1997, Pages 843-861

Robust nonlinear–nonquadratic feedback control via parameterdependent Lyapunov functions

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

EID: 0031117918     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797224423     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 0014553595 scopus 로고
    • Optimal control of a servo derived from nonquadratic performance criteria
    • Asseo, S. J., 1969, Optimal control of a servo derived from nonquadratic performance criteria. IEEE Transactions on Automatic Control, 14, 404-407.
    • (1969) IEEE Transactions on Automatic Control , vol.14 , pp. 404-407
    • Asseo, S.J.1
  • 2
    • 0020807152 scopus 로고
    • Stabilization of uncertain systems via linear control
    • Barmish, B. R., 1983, Stabilization of uncertain systems via linear control. IEEE Transactions on Automatic Control, 28, 848-850.
    • (1983) IEEE Transactions on Automatic Control , vol.28 , pp. 848-850
    • Barmish, B.R.1
  • 3
    • 0010733774 scopus 로고
    • Optimal nonlinear feedback control derived from quartic and higher-order performance criteria
    • Bass, R. W., and Webber, R. F., 1966, Optimal nonlinear feedback control derived from quartic and higher-order performance criteria. IEEE Transactions on Automatic Control, 11, 448-454.
    • (1966) IEEE Transactions on Automatic Control , vol.11 , pp. 448-454
    • Bass, R.W.1    Webber, R.F.2
  • 5
    • 0024029872 scopus 로고
    • The optimal projection equations with Petersen-Hollot bounds: Robust stability and performance via fixed-order dynamic compensation for systems with structured real-valued parameter uncertainty
    • 1990 a, Robust stability and performance analysis for state space systems via quadratic Lyapunov bounds. SIAM Journal on Matrix Analysis and Application, 11, 239-271; 1990 b, Robust stability and performance via fixed-order dynamic compensation with guaranteed cost bounds. Mathematical Control of Signal Systems, 3, 139-163
    • Bernstein, D. S., and Haddad, W. M., 1988, The optimal projection equations with Petersen-Hollot bounds: robust stability and performance via fixed-order dynamic compensation for systems with structured real-valued parameter uncertainty. IEEE Transactions on Automatic Control, 33, 578-582; 1990 a, Robust stability and performance analysis for state space systems via quadratic Lyapunov bounds. SIAM Journal on Matrix Analysis and Application, 11, 239-271; 1990 b, Robust stability and performance via fixed-order dynamic compensation with guaranteed cost bounds. Mathematical Control of Signal Systems, 3, 139-163.
    • (1988) IEEE Transactions on Automatic Control , vol.33 , pp. 578-582
    • Bernstein, D.S.1    Haddad, W.M.2
  • 6
    • 0017537095 scopus 로고
    • Design of nonlinear automatic flight control systems
    • Garrard, W. L., and Jordan, J. M., 1977, Design of nonlinear automatic flight control systems. Automatica, 13, 497-505.
    • (1977) Automatica , vol.13 , pp. 497-505
    • Garrard, W.L.1    Jordan, J.M.2
  • 7
    • 0023415854 scopus 로고
    • On the robust stabiliz-ability of uncertain linear time-invariant plants using nonlinear time-varying controllers
    • Georgiou, T. T., Pascoal, A. M., and Khargonekar, P. P., 1987, On the robust stabiliz-ability of uncertain linear time-invariant plants using nonlinear time-varying controllers. Automatica, 23, 617-624.
    • (1987) Automatica , vol.23 , pp. 617-624
    • Georgiou, T.T.1    Pascoal, A.M.2    Khargonekar, P.P.3
  • 8
    • 0026394392 scopus 로고
    • Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis
    • Brighton, U.K, 1993, Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability-Part I: Continuous-time theory. International Journal of Robust and Nonlinear Control, 3, 313-339; 1995, Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis. IEEE Transactions on Automatic Control, 40, 536-543
    • Haddad, W. M., and Bernstein, D. S., 1991, 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, Brighton, U.K., pp. 2274-2279, 2632-2633; 1993, Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability-Part I: Continuous-time theory. International Journal of Robust and Nonlinear Control, 3, 313-339; 1995, Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis. IEEE Transactions on Automatic Control, 40, 536-543.
    • (1991) Proceedings of the IEEE Conference on Decision and Control
    • Haddad, W.M.1    Bernstein, D.S.2
  • 9
    • 0010734077 scopus 로고
    • Extensions of mixed-n bounds to monotonic and odd monotonic nonlinearities using absolute stability theory
    • Haddad, W. M., How, J. P., Hall, S. R., and Bernstein, D. S., 1994, Extensions of mixed-n bounds to monotonic and odd monotonic nonlinearities using absolute stability theory. International Journal of Control, 60, 905-951.
    • (1994) International Journal of Control , vol.60 , pp. 905-951
    • Haddad, W.M.1    How, J.P.2    Hall, S.R.3    Bernstein, D.S.4
  • 11
    • 0022467442 scopus 로고
    • Uniformly optimal control of linear timeinvariant plants: Nonlinear time-invariant controllers
    • Khargonekar, P. P., and Poolla, K. R., 1986, Uniformly optimal control of linear timeinvariant plants: nonlinear time-invariant controllers. System Control Letters, 6, 303-308.
    • (1986) System Control Letters , vol.6 , pp. 303-308
    • Khargonekar, P.P.1    Poolla, K.R.2
  • 12
    • 0023315145 scopus 로고
    • On the robust stabiliz-ability of linear time-invariant plants with unstructured uncertainty
    • Khargonekar, P. P., Georgiou, T. T., and Pascoal, A. M., 1987, On the robust stabiliz-ability of linear time-invariant plants with unstructured uncertainty. IEEE Transactions on Automatic Control, 32, 201-207.
    • (1987) IEEE Transactions on Automatic Control , vol.32 , pp. 201-207
    • Khargonekar, P.P.1    Georgiou, T.T.2    Pascoal, A.M.3
  • 14
    • 0018542642 scopus 로고
    • Nonlinear optimal cue-shaping filters for motion-base simulators
    • Kosut, R. L., 1979, Nonlinear optimal cue-shaping filters for motion-base simulators. Journal of Guidance Control Dynamics, 2, 486-490.
    • (1979) Journal of Guidance Control Dynamics , vol.2 , pp. 486-490
    • Kosut, R.L.1
  • 15
    • 0018519791 scopus 로고
    • Guaranteed asymptotic stability for some linear systems with bounded uncertainties
    • 1981, On the efficacy of nonlinear control in uncertain linear systems. Journal of Dynamic Systems Measurement and Control, 102, 95-102
    • Leitmann, G., 1979, Guaranteed asymptotic stability for some linear systems with bounded uncertainties. Journal of Dynamic Systems Measurement and Control, 101, 212-216; 1981, On the efficacy of nonlinear control in uncertain linear systems. Journal of Dynamic Systems Measurement and Control, 102, 95-102.
    • (1979) Journal of Dynamic Systems Measurement and Control , vol.101 , pp. 212-216
    • Leitmann, G.1
  • 16
    • 0002324143 scopus 로고
    • The use of nonlinear feedback to improve the transient response of a servomechanism
    • Transactions of AIEE-Part II
    • Lewis, j. B., 1953, The use of nonlinear feedback to improve the transient response of a servomechanism. Transactions of AIEE-Part II: Applications and Industry, 71, 449-453.
    • (1953) Applications and Industry , vol.71 , pp. 449-453
    • Lewis, J.B.1
  • 17
    • 0022105679 scopus 로고    scopus 로고
    • Nonlinear versus linear control in the direct output feedback stabilization of linear systems
    • 1985 b, Quadratic stabilizability of uncertain linear systems: existence of a nonlinear stabilizing control does not imply existence of a linear stabilizing control. IEEE Transactions on Automatic Control, 30, 291-293
    • Petersen, I. R., 1985 a, Nonlinear versus linear control in the direct output feedback stabilization of linear systems. IEEE Transactions on Automatic Control, 30, 799-802; 1985 b, Quadratic stabilizability of uncertain linear systems: existence of a nonlinear stabilizing control does not imply existence of a linear stabilizing control. IEEE Transactions on Automatic Control, 30, 291-293.
    • IEEE Transactions on Automatic Control , pp. 799-802
    • Petersen, I.R.1
  • 18
    • 0023315146 scopus 로고
    • Nonlinear time-varying controllers for robust stabilization
    • Poolla, K., and Ting, T, 1983, Nonlinear time-varying controllers for robust stabilization. IEEE Transactions on Automatic Control, 26, 195-200.
    • (1983) IEEE Transactions on Automatic Control , vol.26 , pp. 195-200
    • Poolla, K.1    Ting, T.2
  • 19
    • 0039319294 scopus 로고
    • Suboptimal design of intentionally nonlinear controllers
    • Rekasius, Z. V., 1964, Suboptimal design of intentionally nonlinear controllers. IEEE Transactions on Automatic Control, 9, 380-386.
    • (1964) IEEE Transactions on Automatic Control , vol.9 , pp. 380-386
    • Rekasius, Z.V.1
  • 20
    • 0020268284 scopus 로고
    • On optimal nonlinear feedback regulation of linear plants
    • Salehi, S. V., and Ryan, E. P., 1982, On optimal nonlinear feedback regulation of linear plants. IEEE Transactions on Automatic Control, 27, 1260-1264.
    • (1982) IEEE Transactions on Automatic Control , vol.27 , pp. 1260-1264
    • Salehi, S.V.1    Ryan, E.P.2
  • 22
    • 0018432797 scopus 로고
    • Nonlinear control of linear multivariable systems via state-dependent feedback gains
    • Shaw, L., 1979, Nonlinear control of linear multivariable systems via state-dependent feedback gains. IEEE Transactions on Automatic Control, 24, 108-112.
    • (1979) IEEE Transactions on Automatic Control , vol.24 , pp. 108-112
    • Shaw, L.1
  • 23
    • 0016987058 scopus 로고
    • A nonlinear control law for a stochastic infinite time problem
    • Speyer, J. L., 1976, A nonlinear control law for a stochastic infinite time problem. IEEE Transactions on Automatic Control, 21, 560-564.
    • (1976) IEEE Transactions on Automatic Control , vol.21 , pp. 560-564
    • Speyer, J.L.1
  • 24
  • 25
    • 0003509637 scopus 로고
    • (Englewood Cliffs, New Jersey, U.S.A.: Prentice Hall)
    • Vidyasagar, M., 1993, Nonlinear Systems Analysis (Englewood Cliffs, New Jersey, U.S.A.: Prentice Hall).
    • (1993) Nonlinear Systems Analysis
    • Vidyasagar, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.