Abstract:The optimal tracking control for discrete-time systems with delayed state and input is addressed. By introducing a function-based transformation, the discrete time-delay system is transformed into a non-delayed system. The optimal tracking controller is constructed by the solution of a Riccati matrix equation and a Stein matrix equation. A reduced-order observer is constructed to solve the physically realizable problem of the feedforward compensator. Simulation results demonstrate the effectiveness of the opti… Show more
“…Then the next value function V 1 (x(k)) can be computed as in (9). The next state vector can be obtained by (10)…”
Section: The Proposed Iterative Dhp Algorithmmentioning
confidence: 99%
“…[9] used the T-S fuzzy model to represent the state-space model of nonlinear discrete-time systems with time delays and a stable fuzzy H∞ filter was designed for signal estimation. In [10] the discrete time delay system is transformed into a non-delayed system by a function-based transformation; an optimal tracking controller is constructed by solving Riccati matrix equation and Stein matrix equations. A simultaneous state and disturbance estimation technique is developed for time delay systems and applied to fault estimation and signal compensation in [11].…”
“…Then the next value function V 1 (x(k)) can be computed as in (9). The next state vector can be obtained by (10)…”
Section: The Proposed Iterative Dhp Algorithmmentioning
confidence: 99%
“…[9] used the T-S fuzzy model to represent the state-space model of nonlinear discrete-time systems with time delays and a stable fuzzy H∞ filter was designed for signal estimation. In [10] the discrete time delay system is transformed into a non-delayed system by a function-based transformation; an optimal tracking controller is constructed by solving Riccati matrix equation and Stein matrix equations. A simultaneous state and disturbance estimation technique is developed for time delay systems and applied to fault estimation and signal compensation in [11].…”
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