Causal output tracking for discrete-time linear systems

Ruiz‐Duarte, Jorge E.; Loukianov, Alexander G.

doi:10.23919/acc.2017.7963092

Cited by 1 publication

(3 citation statements)

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“…Under Assumptions 1 to 3, considering that conditions (21) and (32) are satisfied and the nonlinear terms 11 and̂1 ,e in (43) satisfy the Lipschitz condition w.r.t. x 1,k , u k ,̃k, and k , a solution of the closed-loop system (43) and (31), in the absence of output reference (y r,k = 0) and disturbance ( k = 0), asymptotically tends to zero.…”

Section: Lemmamentioning

confidence: 99%

“…Iskrenovic‐Momcilovic et al extended the method of stable system center combined with SM control to DT systems; however, this work considered a class of SISO systems with the reference generated by an exosystem with known characteristic polynomial, thus, in fact, the considered tracking problem is not causal. In our other work, similar to the continuous‐time approach, a state‐feedback causal tracking controller was designed for DT system. However, this approach was proposed just for linear unperturbed systems.…”

Section: Introductionmentioning

confidence: 99%

“…However, this approach was proposed just for linear unperturbed systems. The error‐feedback case was addressed in our other work; however, again, this approach was proposed just for linear unperturbed systems.…”

Section: Introductionmentioning

confidence: 99%

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Sliding mode output‐feedback causal output tracking for a class of discrete‐time nonlinear systems

Ruiz‐Duarte

Loukianov

2019

Intl J Robust & Nonlinear

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Summary The output tracking (OT) of arbitrary references in discrete‐time (DT) nonlinear systems is addressed by designing an output‐feedback control. A set of difference‐algebraic equations is proposed as an exact solution of the problem. Using a novel technique of approximating DT functions, the system disturbance and steady states, characterized by tracking error identically zero, for both the system state and the control input, are represented as signals generated by a disturbed dynamic system. Using the mentioned dynamics, the control system is extended. Then, a state observer is proposed to estimate the resulting extended system state. Finally, a DT sliding mode controller is designed to achieve the approximate OT. Simulations show the effectiveness of the proposed control scheme.

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Section: Lemmamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%