Discrete-time control systems (2nd ed.)
Discrete-time control systems (2nd ed.)
Control System Design
Picard discretization of nonlinear systems: symbolic or numeric implementation?
EUROCAST'07 Proceedings of the 11th international conference on Computer aided systems theory
Improved non-standard discretization methods for nonlinear dynamical control systems
EUROCAST'05 Proceedings of the 10th international conference on Computer Aided Systems Theory
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In this work we report the validity, through implementation on a nonlinear dynamical control system: the simple pendulum, of the non-standard discretization methods, named: Euler, Euler-Picard and Euler-Taylor-Picard discretization methods. Those methods are based on Euler polygons, Picard iteration and Taylor series expansions, and were developed in previously works to digitize nonlinear dynamics. This work represents, the first step implementing discrete-time nonlinear control law using the non-standard discretization methods. The nonlinear control laws are designed using extended and exact linearization, for the states feedback control laws technique.