Control system robust controller parametric synthesis based on coefficient estimation of stability and oscillation indices

A lot of linear system controller design approaches allowing realization a reasonable structure and parameters choice to provide some specified requirements to system performance are developed. Among all the known methods coefficient methods allow to obtain approximate but rather simple correlations, which link quality indices of unconditioned order control system with desired controller parameters. Maximum system stability degree with restriction on oscillation is one of the most widespread criteria when designing an automatic control system When designing the system, one of the most extensively used criterions is maximal degree of stability. It is known, that the systems are designed according to this criterion, other conditions being equal, have higher performance, smaller overshoot and higher degree of stability. On the practice in real systems the plant parameters, usually, are known not precisely or can change according to unforeknowable rules in specified limits. Such parameters are accepted to call interval parameters, and control systems - interval control systems. To guarantee robust stability in interval systems, supposing its operability save by any interval parameters variations is very important and sometimes time-consuming task. The problem of providing in system maximal robust stability represents particular interest. The approach offered to solve referred above controller design problems is based on coefficient estimations of stability indices of interval system and enables to maximize system robust degree of stability for account of unsophisticated algebraic correlations.