An optimal linear control design for nonlinear systems

Journal of the Brazilian Society of Mechanical Sciences and Engineering

Volumn 30, Issue 4, 2008, Pages 279-284

  Rafikov, Marat ^a   Balthazar, José Manoel ^b   Tusset, Ângelo Marcelo ^c  

^a UFABC and UNIJUI   (Brazil)

^b SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^c UnC   (Brazil)

Author keywords

Active suspension system; Chaotic attractor; Duffing oscillator; Nonlinear system; Optimal control

Indexed keywords

ACTIVE SUSPENSION SYSTEMS; ASYMPTOTIC STABILITY; DYNAMIC PROGRAMMING; FEEDBACK; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; NUMERICAL METHODS; OSCILLATORS (MECHANICAL);

CHAOTIC ATTRACTORS; CLOSED LOOPS; DUFFING OSCILLATOR; HAMILTON JACOBI BELLMAN EQUATION; LINEAR FEEDBACK CONTROL; MINIMIZED FUNCTIONAL; OPTIMAL CONTROLS; OPTIMAL LINEAR CONTROL;

SUSPENSIONS (COMPONENTS);

EID: 60749137419     PISSN: 16785878     EISSN: 18063691     Source Type: Journal    
DOI: 10.1590/S1678-58782008000400002     Document Type: Article

References (12)

1. Anderson, B.D.O. and Moor, J.B., 1990, "Optimal Control: Linear Quadratic Methods". Prentice-Hall, NY.
2. Bardi. M. and Capuzzo-Dolcetta, I., 1997, "Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman liquations". Birkhäuser. Boston.
3. Bernstein. D.S., 1993. "Nonquadratic cost and nonlinear feedback control". Int. .J. Robust Nonlinear Contr. 3. pp. 211-229.
4. Bryson. JR., A.E. and Ho, Y. C. 1975. "Applied optimal control: Optimization, Estimation, and Control". Hemisphere Publ. Corp., Washington D.C.,
5. Gaspar, P., Sazaszi. I. and Bokor. .J., 2003. "Active suspension design using linear parameter varying control". International Journal of Vehicle Autonomous Systems, Vol. 1, No. 2, pp. 206-221.
6. IIaddad. W.M., Chellaboina, V. S. and Fausz, J.L., 1998. "Robust nonlinear feedback control for uncertain linear systems with nonquadratic performance criteria", Systems Control Lett., 33. pp. 327-338.
7. Krasovskii, N. N., 1959, "On the theory of optimum control". Appl. Math. Mech., vol. 23, pp. 899-919.
8. Kalman. R.E. and Bertram, J.E., 1960, "Control system analysis and design via the second method of Lyapunov". Journal of Basis Engineering. vol. 82. pp. 371-393.
9. Letov. A.M., 1961, "The analytical design of control systems", Automation and Remote Control, 22. pp. 363-372.
10. Rafikov, M. and Balthazar. J. M., 2004, "On an optimal control design for Rossier system", Phys. Lett., A 333, pp. 241-245.
11. Sinha. S.C., Henrichs, J.T. and Ravindra. B.A., 2000. "A general approach in the design of active controllers for nonlinear systems exhibiting chaos". Int. J. Biff. Chaos, l0 (1), pp. 165-178.
12. Thompson. A. G., 1976, "An active suspension with optimal linear state feedback". Vehicle System Dynamics. Vol. 5, pp. 187-203.