Qualitative methodology for applying sustainability in the design of digital systems with concentrated and distributed parameters

Research for this area aimed at developing new control algorithms and regulators for modern multi-engine systems with piezoelectric actuators taking into account their physical characteristics functioning (presence of static hysteresis characteristics of instability in time and under the influence of external factors) . The need for accurate positioning devices in industry, research is constantly growing, expanding the application of piezoelectric transducers for various purposes. Simultaneously we can observe an increase in the  requirements to the piezo drives, especially to their dynamic and accuracy characteristic .

Analyzing the experience of research and development components and devices of piezo engineering, we may distinguish  two basic directions of development. The first one  is to improve piezomaterials (their properties and characteristics ) in order to ensure eventually stability of parameters of piezoelectric devices based on them. The second one  is to focus on developing adaptive control algorithms for piezoelectric devices in a constantly changing parameters and characteristics of piezomaterials under the influence of external factors (temperature, pressure, mechanical stress) . Increased requirements to  the quality characteristics of the automatic control systems give designers a more precise description of the source object and the system of automatic control. In other words, the demand arises to take into account changes of the  time parameters  and adapting the methods of analysis and synthesis of such systems for this  sort of change.

In the course of this research area we discovered  that in the modern high-precision systems, the most promising is a digital implementation of regulators with the power stage on the basis of pulse-width modulation . This solution allows to provide the specified requirements for positioning accuracy , and create a small control device for integrated mechatronic modules.

Analysis of the dynamics of actuators with PWM control leads to discrete models with variable parameters. Synthesis of control devices for such objects is associated with difficulties in achieving system performance and  the lack of appropriate design methodologies .

To achieve the objectives of quality we have used the theory of stability of control systems, common digital multi-engined  piezoactuated  positioning system, which allows  to define the feasible range of parameters changes when the quality of dynamic processes is a highly sensitive point.