A novel robust control scheme for LTV systems using output integral discrete-time synergetic control theory

The paper presents a new robust control strategy based on a synergetic control theory (SCT) approach for discrete-time linear time varying (LTV) systems in the presence of unknown disturbance. The proposed control scheme is featured by an integral type of SCT macro-variable manifold based on the output error. Stability analysis shows that in LTV systems, and for any unmeasured bounded disturbance, the proposed controller accomplishes the goal of stabilizing the system by asymptotically driving the error of the controlled variable to a bounded SCT macro-variable set containing the origin and then maintaining it there. The effectiveness of the proposed method and the implications of the controller design on feasibility and closed-loop performance are demonstrated through an example of reactor temperature control of Continuous Stirred Tank Reactor (CSTR) plant, and the control of a real coupled DC motors plant.