메뉴 건너뛰기




Volumn 44, Issue 3, 1999, Pages 641-647

A new class of universal Lyapunov functions for the control of uncertain linear systems

Author keywords

Nonquadratic Lyapunov functions; Robust stabilization; Uncertain systems

Indexed keywords

ALGORITHMS; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; FUNCTIONS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; SYSTEM STABILITY;

EID: 0033097634     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.751368     Document Type: Article
Times cited : (113)

References (30)
  • 1
    • 0028549967 scopus 로고
    • Equivalence of stability concepts for discrete time-varying systems
    • A. Bhaya and F. C. Mota, "Equivalence of stability concepts for discrete time-varying systems," Int. J. Robust Nonlinear Contr., vol. 4, no. 6, pp. 725-740, 1994.
    • (1994) Int. J. Robust Nonlinear Contr. , vol.4 , Issue.6 , pp. 725-740
    • Bhaya, A.1    Mota, F.C.2
  • 2
    • 0020810130 scopus 로고
    • Linear ultimate boundedness control of uncertain systems
    • B. R. Barmish, I. Petersen, and A. Feuer, "Linear ultimate boundedness control of uncertain systems," Automatica, vol. 19, no. 5, pp. 523-532, 1983.
    • (1983) Automatica , vol.19 , Issue.5 , pp. 523-532
    • Barmish, B.R.1    Petersen, I.2    Feuer, A.3
  • 6
    • 0020718015 scopus 로고
    • A new class of stabilizing controllers for uncertain dynamically systems
    • Mar.
    • B. R. Barmish, M. Corless, and G. Leitmann, "A new class of stabilizing controllers for uncertain dynamically systems," SIAM J. Contr. Optimizat., vol. 21, no. 2, Mar. 1983.
    • (1983) SIAM J. Contr. Optimizat. , vol.21 , Issue.2
    • Barmish, B.R.1    Corless, M.2    Leitmann, G.3
  • 7
    • 0028370204 scopus 로고
    • Ultimate boundedness control for discrete-time uncertain system via set induced Lyapunov functions
    • Feb.
    • F. Blanchini, "Ultimate boundedness control for discrete-time uncertain system via set induced Lyapunov functions," IEEE Trans. Automat. Contr., vol. 39, pp. 428-433, Feb. 1994.
    • (1994) IEEE Trans. Automat. Contr. , vol.39 , pp. 428-433
    • Blanchini, F.1
  • 8
    • 0029266878 scopus 로고
    • Non-quadratic Lyapunov function for robust control
    • F. Blanchini, "Non-quadratic Lyapunov function for robust control," Automatica, vol. 31, no. 3, pp. 451-461, 1994.
    • (1994) Automatica , vol.31 , Issue.3 , pp. 451-461
    • Blanchini, F.1
  • 9
    • 0002295160 scopus 로고    scopus 로고
    • Constrained stabilization of continuous-time linear systems
    • F. Blanchini and S. Miani, "Constrained stabilization of continuous-time linear systems," Syst. Contr. Lett., vol. 28, pp. 95-102, 1996.
    • (1996) Syst. Contr. Lett. , vol.28 , pp. 95-102
    • Blanchini, F.1    Miani, S.2
  • 10
    • 0030194034 scopus 로고    scopus 로고
    • On the transient estimate for linear systems with time-varying uncertain parameters
    • July
    • _, "On the transient estimate for linear systems with time-varying uncertain parameters," IEEE Trans. Circuits Syst. - Part I, vol. 43, pp. 592-596, July 1996.
    • (1996) IEEE Trans. Circuits Syst. - Part I , vol.43 , pp. 592-596
  • 11
    • 0029321522 scopus 로고
    • Persistent disturbance rejection via static state feedback
    • June
    • F. Blanchini and M. Sznaier, "Persistent disturbance rejection via static state feedback," IEEE Trans. Automat. Contr., vol. 40, pp. 1127-1131, June 1995.
    • (1995) IEEE Trans. Automat. Contr. , vol.40 , pp. 1127-1131
    • Blanchini, F.1    Sznaier, M.2
  • 12
    • 84983189653 scopus 로고    scopus 로고
    • Robust state feedback control of lti systems: Nonlinear is better than linear
    • Brussels, Belgium, July
    • A. Megretski and F. Blanchini, "Robust state feedback control of lti systems: Nonlinear is better than linear," in Proc. Eur. Contr. Conf., Brussels, Belgium, July 1997.
    • (1997) Proc. Eur. Contr. Conf.
    • Megretski, A.1    Blanchini, F.2
  • 13
    • 0019080199 scopus 로고
    • Constructive stability and asymptotic stability of dynamical systems
    • Apr.
    • R. K. Brayton and C. H. Tong, "Constructive stability and asymptotic stability of dynamical systems," IEEE Trans. Circuits Syst., vol. CAS-27, pp. 1121-1130, Apr. 1980.
    • (1980) IEEE Trans. Circuits Syst. , vol.CAS-27 , pp. 1121-1130
    • Brayton, R.K.1    Tong, C.H.2
  • 14
    • 29744447441 scopus 로고
    • Robust analysis and design via quadratic Lyapunov functions
    • Sidney, Australia, July
    • M. Corless, "Robust analysis and design via quadratic Lyapunov functions," in Proc. IFAC World Conf., Sidney, Australia, July 1993, pp. 232-234.
    • (1993) Proc. IFAC World Conf. , pp. 232-234
    • Corless, M.1
  • 15
    • 0027187129 scopus 로고
    • Bibliography on robust control
    • P. Dorato, R. Tempo, and G. Muscato, "Bibliography on robust control," Automatica, vol. 29, no. 1, pp. 201-214. 1993.
    • (1993) Automatica , vol.29 , Issue.1 , pp. 201-214
    • Dorato, P.1    Tempo, R.2    Muscato, G.3
  • 16
    • 0022706308 scopus 로고
    • Admissible sets and feedback control for discrete-time linear systems with bounded control and states
    • Apr.
    • P. O. Gutman and M. Cwikel, "Admissible sets and feedback control for discrete-time linear systems with bounded control and states," IEEE Trans. Automat. Contr., vol. AC-31, pp. 373-376, Apr. 1986.
    • (1986) IEEE Trans. Automat. Contr. , vol.AC-31 , pp. 373-376
    • Gutman, P.O.1    Cwikel, M.2
  • 17
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Jan.
    • Y. Lin, E. D. Sontag, and Y. Wang, "A smooth converse Lyapunov theorem for robust stability," SIAM J. Contr. Optimizat., vol. 34, no. 1, pp. 124-160, Jan. 1996.
    • (1996) SIAM J. Contr. Optimizat. , vol.34 , Issue.1 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 18
    • 0021371542 scopus 로고
    • Computer generated Lyapunov functions for interconnected systems: Improved results with applications to power systems
    • Feb.
    • A. N. Michel, B. H. Nam, and V. Vittal, "Computer generated Lyapunov functions for interconnected systems: Improved results with applications to power systems," IEEE Trans. Circuits Syst., vol. 31, pp. 189-198, Feb. 1984.
    • (1984) IEEE Trans. Circuits Syst. , vol.31 , pp. 189-198
    • Michel, A.N.1    Nam, B.H.2    Vittal, V.3
  • 19
    • 0001740827 scopus 로고    scopus 로고
    • "Lyapunov functions specifying necessary and sufficient conditions of absolute stability of nonlinear nonstationary control system," Parts I, II, III
    • A. P. Molchanov and E. S. Pyatnitskii, "Lyapunov functions specifying necessary and sufficient conditions of absolute stability of nonlinear nonstationary control system," Parts I, II, III, Autom. and Rem. Contr., Vol. 47, No. 3, pp. 344-354;
    • Autom. and Rem. Contr. , vol.47 , Issue.3 , pp. 344-354
    • Molchanov, A.P.1    Pyatnitskii, E.S.2
  • 21
    • 33746949358 scopus 로고
    • Autom. and Rem. Contr., no. 5, pp. 620-630, 1986.
    • (1986) Autom. and Rem. Contr. , Issue.5 , pp. 620-630
  • 22
    • 0008339949 scopus 로고
    • On robustness of systems with structured uncertainties
    • A. Olas, "On robustness of systems with structured uncertainties," in Proc. IV Workshop Contr. Mech., 1991.
    • (1991) Proc. IV Workshop Contr. Mech.
    • Olas, A.1
  • 23
    • 0027590467 scopus 로고
    • Computer generated Lyapunov functions for a class of nonlinear systems
    • May
    • Y. Ohta, H. Imanishi, L. Gong, and H. Haneda, "Computer generated Lyapunov functions for a class of nonlinear systems," IEEE Trans. Circuits Syst., vol. 40, pp. 343-353, May 1993.
    • (1993) IEEE Trans. Circuits Syst. , vol.40 , pp. 343-353
    • Ohta, Y.1    Imanishi, H.2    Gong, L.3    Haneda, H.4
  • 24
    • 0023451701 scopus 로고
    • Control effort considerations in the stabilization of uncertain dynamical systems
    • I. R. Petersen and B. R. Barmish, "Control effort considerations in the stabilization of uncertain dynamical systems," Syst. Contr. Lett., vol. 9, pp. 417-422, 1987.
    • (1987) Syst. Contr. Lett. , vol.9 , pp. 417-422
    • Petersen, I.R.1    Barmish, B.R.2
  • 26
    • 0026998882 scopus 로고
    • Homogeneous Lyapunov functions for homogeneous vector field
    • L. Rosier, "Homogeneous Lyapunov functions for homogeneous vector field," Syst. Contr. Lett., vol. 19, pp. 467-473, 1992.
    • (1992) Syst. Contr. Lett. , vol.19 , pp. 467-473
    • Rosier, L.1
  • 27
    • 0027677038 scopus 로고
    • Nonlinear state feedback for l1 optimal control
    • J. S. Shamma, "Nonlinear state feedback for l1 optimal control," Syst. Contr. Lett., vol. 21, pp. 40-41, 1994.
    • (1994) Syst. Contr. Lett. , vol.21 , pp. 40-41
    • Shamma, J.S.1
  • 28
    • 0029358105 scopus 로고
    • Robust asymptotic stability of petersen counterexample via linear static controller
    • Aug.
    • H. Stalford, "Robust asymptotic stability of petersen counterexample via linear static controller," IEEE Trans. Automat. Contr., vol. 40, pp. 1488-1491, Aug. 1995.
    • (1995) IEEE Trans. Automat. Contr. , vol.40 , pp. 1488-1491
    • Stalford, H.1
  • 29
    • 0029508229 scopus 로고
    • Piecewise Lyapunov functions for robust stability of linear time-varying systems
    • New Orleans, LA, Dec.
    • L. Xie, S. L. Shishkin, and M. Fu, "Piecewise Lyapunov functions for robust stability of linear time-varying systems," in Proc. 34th Conf. Dec. Contr., New Orleans, LA, Dec. 1995, p. 3620.
    • (1995) Proc. 34th Conf. Dec. Contr. , pp. 3620
    • Xie, L.1    Shishkin, S.L.2    Fu, M.3
  • 30
    • 0028282375 scopus 로고
    • Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
    • Jan.
    • A. L. Zelentsowsky, "Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems," IEEE Trans. Automat. Contr., vol. 39, pp. 135-138, Jan. 1994.
    • (1994) IEEE Trans. Automat. Contr. , vol.39 , pp. 135-138
    • Zelentsowsky, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.