This paper proposes an output tracking control via virtual reference model for a class of discrete-time systems with time-varying delay and disturbances. In this proposed scheme, we combine a virtual reference model (VRM) and an observer-based fuzzy control strategy to develop output tracking controller. The Takagi-Sugeno fuzzy observer is used to estimate immeasurable state, while the controller is designed to guarantee the overall control system with H∞ control performance. Sufficient conditions are derived in a linear matrix inequality form Lyapunov's stability method. Moreover, the VRM-based fuzzy synthesis is fully illustrated by an example of discrete-time stirred tank reactor system. The effectiveness of the proposed controller is finally demonstrated and shown from satisfactory numerical results.
This paper proposes an output tracking via TS-SCMAC and virtual desired variable (VDV) approach for a class of time-delay systems with uncertainties.The overall control output tracking system has H∞ control performance. The advantages of the proposed methodology are i) information of system equilibrium is not required simplifying the controller design. ii) overall output tracking system has H∞ control performances. Moreover, we consider the example of continuous stirred tank reactor system. The effectiveness of the proposed controller is validated by satisfactory numerical results.
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