FTC with Dynamic Virtual Actuators: Characterization via Dynamic Output Controllers andH∞Approach

Abstract

The paper presents new conditions, adequate in design of dynamic virtual actuators and utilizable in fault-tolerant control structures (FTC) for continuous-time linear systems, which are stabilizable by dynamic output controllers. Taking into account disturbance conditions and changes of variables in FTC after virtual actuator activation and applying the nominal control scheme relating to the biproper dynamic output controller of prescribed order, the design conditions are outlined in terms of the linear matrix inequalities within the enhanced bounded real lemma forms. Using a free tuning parameter in design, and with suitable choice of the controller order, the approach provides the way to obtain acceptable dynamics of the closed-loop system after activation of the dynamic virtual actuator.

Relaxed formulation of the design conditions for Takagi-Sugeno fuzzy virtual actuators

“…To achieve the desired control objectives, the design conditions for TS fuzzy static output controllers as well as for TS fuzzy virtual actuators are formulated using linear matrix inequality (LMI) techniques, by exploiting the bounded real lemma approach, and by adapting the generalized H ∞ norm principle presented in [10], [11] to the standard Lyapunov second method.…”