Robust Controller Design of Uncertain Discrete Time-Delay Systems With Input Saturation and Disturbances

Xu, Shengyuan; Feng, Gang; Zou, Yun; Huang, Jie

doi:10.1109/tac.2012.2190181

Cited by 85 publications

(80 citation statements)

References 21 publications

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“…The description of the saturating function can be done by a polytopic based representation [15][16][17] or through a sector condition approach as in [14,[17][18][19] in the context of fuzzy systems. The estimates of the region of initial conditions may be characterized in different ways as we can verify in literature.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…One of the first approaches was to represent such a region by ball in R . In this case, both the current state and the delayed ones are required to belong to the ball [15,16]. A more general approach has been considered in [14,17], where two balls in R have been used: one where the current and delayed states must belong and the other to bound the norm of the time variation of the sequence of initial states.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…A more general approach has been considered in [14,17], where two balls in R have been used: one where the current and delayed states must belong and the other to bound the norm of the time variation of the sequence of initial states. By a special choice of the radius of later ball, one can recover the representation in [15,16]. This is discussed later in this work.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…Another way to estimate the region of attraction is through the set L V1 = { ,0 : ‖ ,0 ‖ < 0 } as it is done in [15,16]. In this case, the estimate of R A corresponds to + 1 balls in R with radius , one for each delayed state − , = 0, .…”

Section: Remarkmentioning

confidence: 99%

See 3 more Smart Citations

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Silva

Scola

et al. 2018

Mathematical Problems in Engineering

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The robust local stabilization of uncertain discrete-time systems with time-varying state delayed and subject to saturating actuators is investigated in this work. A convex optimization method is proposed to compute robust state feedback control law such that the uncertain closed-loop is locally asymptotically stable if the initial condition belongs to an estimate of the region of attraction for the origin. The proposed procedure allows computing estimates of the region of attraction through the intersection of ellipsoidal sets in an augmented space, reducing the conservatism of the estimates found in the literature. Also, the conditions can handle the amount of delay variation between two consecutive samples, which is new in the literature for the discrete-time case. Although the given synthesis conditions are delay dependent, the proposed control law is delay independent, yielding to easier real time implementations. A convex procedure is proposed to maximize the size of the set of safe initial conditions. Numerical examples are provided to illustrate the effectiveness of our approach and also to compare it with other conditions in the literature.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

See 2 more Smart Citations

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Silva

Scola

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…For example, a robust adaptive controller is designed based on input saturation and observed external disturbance for uncertain nonlinear system in [20]. In [7], a state feedback controller is presented with input saturation and disturbance. In [8], a decentralized adaptive robust controller is proposed to realize trajectory tracking of robot manipulators.…”

Section: Introductionmentioning

confidence: 99%

Robust control for robot manipulators with time-varying uncertainty based on bounded observer in discrete time

Yang

2016

2016 22nd International Conference on Automation and Computing (ICAC)

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Exponential Stability and Stabilization for Quadratic Discrete‐Time Systems with Time Delay

Chen

Kang

Shi-dong

et al. 2017

Asian Journal of Control

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In this note, we deal with the exponential stability and stabilization problems for quadratic discrete-time systems with time delay. By using the quadratic Lyapunov function and a so called 'Finsler's lemma', delay-independent sufficient conditions for local stability and stabilization for quadratic discrete-time systems with time delay are derived in terms of linear matrix inequalities (LMIs). Based on these sufficient conditions, iterative linear matrix inequality algorithms are proposed for maximizing the stability regions of the systems. Finally, two examples are given to illustrate the effectiveness of the methods presented in this paper.

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Robust Controller Design of Uncertain Discrete Time-Delay Systems With Input Saturation and Disturbances

Cited by 85 publications

References 21 publications

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Robust control for robot manipulators with time-varying uncertainty based on bounded observer in discrete time

Exponential Stability and Stabilization for Quadratic Discrete‐Time Systems with Time Delay

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