Control Lyapunov functions: new ideas from an old source

作者: R.A. Freeman , J.A. Primbs

DOI: 10.1109/CDC.1996.577294

关键词:

摘要: … based on control Lyapunov functions … control when applied to linear systems. More generally, it is shown to recover the optimal control whenever the level sets of the control Lyapunov …

参考文章(19)
Randy A. Freeman, Petar Kokotović, Robust Nonlinear Control Design Birkhäuser Boston. ,(1996) , 10.1007/978-0-8176-4759-9
Jie Feng, M.C. Smith, When is a controller optimal in the sense of /spl Hscr//sub /spl infin// loop-shaping? IEEE Transactions on Automatic Control. ,vol. 40, pp. 2026- 2039 ,(1995) , 10.1109/9.478228
R.A. Freeman, P.V. Kokotovic, Optimal nonlinear controllers for feedback linearizable systems advances in computing and communications. ,vol. 4, pp. 2722- 2726 ,(1995) , 10.1109/ACC.1995.532343
B. Molinari, The stable regulator problem and its inverse IEEE Transactions on Automatic Control. ,vol. 18, pp. 454- 459 ,(1973) , 10.1109/TAC.1973.1100364
R. A. Freeman, P. V. Kokotovic, Inverse Optimality in Robust Stabilization Siam Journal on Control and Optimization. ,vol. 34, pp. 1365- 1391 ,(1996) , 10.1137/S0363012993258732
R. E. Kalman, When Is a Linear Control System Optimal Journal of Basic Engineering. ,vol. 86, pp. 51- 60 ,(1964) , 10.1115/1.3653115
Eduardo D. Sontag, A Lyapunov-Like Characterization of Asymptotic Controllability SIAM Journal on Control and Optimization. ,vol. 21, pp. 462- 471 ,(1983) , 10.1137/0321028
Z. -P. Jiang, A. R. Teel, L. Praly, Small-gain theorem for ISS systems and applications Mathematics of Control, Signals, and Systems. ,vol. 7, pp. 95- 120 ,(1994) , 10.1007/BF01211469
R.A. Freeman, P.V. Kokotovic, Design of “softer” robust nonlinear control laws Automatica. ,vol. 29, pp. 1425- 1437 ,(1993) , 10.1016/0005-1098(93)90007-G