Dynamical pulse width modulation control of nonlinear systems

Abstract The design of dynamical stabilizing pulse-width-modulated controllers is addressed in full generality for the class of analytical nonlinear single-input single-output systems expressible in Fliess' local generalized observability canonical form.

[1]  H. Sira-Ramírez,et al.  Dynamical discontinuous feedback control of nonlinear systems , 1990 .

[2]  M. Fliess,et al.  What the Kalman state variable representation is good for , 1990, 29th IEEE Conference on Decision and Control.

[3]  Hebertt Sira-Ramírez Invariance conditions in non-linear PWM controlled systems , 1989 .

[4]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[5]  S. Ahmad,et al.  Pulse width modulated control of robotic manipulators , 1990, 29th IEEE Conference on Decision and Control.

[6]  Hebertt Sira-Ramírez,et al.  Design of P-I controllers for DC-to-DC power supplies via extended linearization , 1990 .

[7]  R. Skoog,et al.  Generalized pulse-modulated feedback systems: Norms, gains, Lipschitz constants, and stability , 1970 .

[8]  H. Sira-Ramírez A geometric approach to pulse-width modulated control in nonlinear dynamical systems , 1989 .

[9]  Michel Fliess,et al.  Generalized controller canonical form for linear and nonlinear dynamics , 1990 .

[10]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[11]  Giuseppe Conte,et al.  Un Théorème sur la Représentation Entrée-Sortie d'un Système Non Linéaire , 1988 .

[12]  I︠a︡. Z. T︠S︡ypkin Relay Control Systems , 1985 .

[13]  Shouchuan Hu Differential equations with discontinuous right-hand sides☆ , 1991 .

[14]  S. Shankar Sastry,et al.  The analysis of singularly perturbed zero dynamics , 1990 .

[15]  Michel Fliess,et al.  Nonlinear control theory and differential algebra , 1988 .

[16]  Jeffrey C. Kantor,et al.  LINEAR FEEDBACK EQUIVALENCE AND CONTROL OF AN UNSTABLE BIOLOGICAL REACTOR , 1986 .

[17]  Michel Fliess,et al.  Discontinuous predictive control, inversion and singularities. Application to a heat exchanger , 1990 .

[18]  A. Isidori Nonlinear Control Systems , 1985 .