70,00 €
This book deals with constant coefficient dynamical systems of first and second orders, in the sense of ordinary differential equations, with a new vision, a new paradigm, new methods, and an approach exclusively based on time.
Thus, we have explored what we call iso-time constant formulas based on response time and rise time. We introduced a new criterion for identifying first-order dynamical systems through the ratio we defined as the relationship between two distinct moments of the transient response of the autonomous system or the impulse response of our system.
Also, in closed-loop, we propose a control law, without an integrator, to define the system’s dynamics and eliminate the static error of the closed-loop system.
In the case of second-order dynamical systems, we introduced and defined, among other things, new notions such as the time constant of our dynamical system and the relative time constant. This allowed us to develop design and aid tables for such systems in terms of time or frequency performances, for any damping ratio.
Furthermore, we also defined, as in the case of a first-order system, the same ratio for identifying second-order systems. For regulation and control, we proposed a corrector to efficiently act on the damping ratio (with or without overshoot) and the time or frequency performances of the closed-loop system.
Several simulation examples and exercises are also provided.
This book deals with constant coefficient dynamical systems of first and second orders, in the sense of ordinary differential equations, with a new vision, a new paradigm, new methods, and an approach exclusively based on time.
Thus, we have explored what we call iso-time constant formulas based on response time and rise time. We introduced a new criterion for identifying first-order dynamical systems through the ratio we defined as the relationship between two distinct moments of the transient response of the autonomous system or the impulse response of our system.
Also, in closed-loop, we propose a control law, without an integrator, to define the system’s dynamics and eliminate the static error of the closed-loop system.
In the case of second-order dynamical systems, we introduced and defined, among other things, new notions such as the time constant of our dynamical system and the relative time constant. This allowed us to develop design and aid tables for such systems in terms of time or frequency performances, for any damping ratio.
Furthermore, we also defined, as in the case of a first-order system, the same ratio for identifying second-order systems. For regulation and control, we proposed a corrector to efficiently act on the damping ratio (with or without overshoot) and the time or frequency performances of the closed-loop system.
Several simulation examples and exercises are also provided.
| Poids | 610 g |
|---|---|
| Dimensions | 20,5 × 25 cm |
