Composite anti-disturbance control for stochastic systems with multiple heterogeneous disturbances and input saturation

Wei, Xinjiang; Dong, Lewei; Zhang, Huifeng; Han, Jian; Hu, Xin

doi:10.1016/j.isatra.2019.12.006

Cited by 32 publications

(13 citation statements)

References 35 publications

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“…Remark Similar to Reference 29, the composite system (21) with saturation treatment of actuator is limited to the local region. Thus, the objective is to estimate the initial states' domain by using the polytopic bounding technique, which makes the domain is limited to the set

ρ (G)

and the trajectories of the composite system (20) are always kept in a region

ρ (G)

.…”

Section: Resultsmentioning

confidence: 84%

“…[22][23][24][25] In recent years, the research on DOBC has been extended to stochastic systems. [26][27][28][29] However, the application of stochastic control method to DP system is rarely studied.…”

Section: Introductionmentioning

confidence: 99%

“…Owing to the high control accuracy and flexible design, the DOBC methods have been extensively applied to engineering systems 22‐25 . In recent years, the research on DOBC has been extended to stochastic systems 26‐29 . However, the application of stochastic control method to DP system is rarely studied.…”

Section: Introductionmentioning

confidence: 99%

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Disturbance observer based control for dynamically positioned ships with ocean environmental disturbances and actuator saturation

Wei

You

et al. 2022

Intl J Robust & Nonlinear

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The antidisturbance control scheme for the dynamically positioned ships with ocean environmental disturbances and actuator saturation was presented. The ocean environmental disturbances comprises slowly varying disturbances and additional stochastic disturbances. The stochastic disturbance observer was constructed to online estimate the slowly varying disturbances. Based on estimation, a stochastic antidisturbance controller was proposed by combining the disturbance observer-based control with the stochastic control, where the actuator saturation was dealt with by the polytopic bounding technique. Furthermore, the optimal control allocation method was introduced to distribute control commands into each actuator. Finally, the ship's position and heading are maintained at the desired values and all signals of the closed-loop system are asymptotically mean-square bounded. And comparative simulation under different conditions demonstrates the validity and the superiority of the proposed control scheme.

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ρ (G)

and the trajectories of the composite system (20) are always kept in a region

ρ (G)

.…”

Section: Resultsmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Disturbance observer based control for dynamically positioned ships with ocean environmental disturbances and actuator saturation

Wei

You

et al. 2022

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

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“…In real‐world engineering scenario, however, certain systems are associated with various disturbances that originate from different sources and have varied characteristics. To conquer this issue, recently a new strategy called anti‐disturbance control (ADC) strategy is proposed and investigated in References 26‐28. In Reference 26, ADC is proposed for stochastic nonlinear systems with input saturation and multiple heterogeneous disturbances, which affirms the mean square stability of the system.…”

Section: Introductionmentioning

confidence: 99%

Tracking control design for periodic piecewise polynomial systems with multiple disturbances

Sakthivel

Annalakshmi

Kwon

2022

Intl J Robust & Nonlinear

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The present study examines the state tracking problem of periodic piecewise polynomial systems subject to multiple disturbances and actuator faults. Specifically, the fundamental period is partitioned into several subintervals and the piecewise matrix polynomial functions can be put together to approximate the dynamics over each period, which are characterized by Bernstein polynomials. Moreover, the system dynamics contains both matched and mismatched disturbances, wherein the matched disturbance is unknown and resulted from some exogenous system, and mismatched case is norm‐bounded. The control law is configured by integrating the output of the disturbance observer with state‐feedback reliable control law. Particularly, a disturbance observer is designed to estimate the disturbance caused by an exogenous system. Besides, by considering time‐varying polynomial Lyapunov function and making use of Bernstein polynomial approach, a set of sufficient conditions is derived which are expressed in terms of linear matrix inequalities. Further, by virtue of MATLAB software the desired controller and observer gain matrices can be computed. In conclusion, the potential and significance of the theoretical findings are confirmed by presenting a numerical example with simulation results.

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“…In the literature, the input disturbance dynamics are typically assumed to be fully known (Wei et al, 2015;Fan et al, 2017;Gao et al, 2019;Shao et al, 2019). Other works assume that the disturbance dynamics were affected partially by unknown white noise signals that can better represent the varying and not fully predictable nature of disturbances (Wei et al, 2019(Wei et al, , 2020. Controlling LPV systems under saturation and input disturbances becomes more challenging when a time delay exists in the control loop (Dou et al, 2014;de Souza et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Observer-Based Control of LPV Systems with Input Delay and Saturation and Matched Disturbances via a Generalized Sector Condition

Salavati

Grigoriadis

Franchek

2021

Front. Control Eng.

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This paper examines the control design for parameter-dependent input-delay linear parameter-varying (LPV) systems with saturation constraints and matched input disturbances. A gain-scheduled dynamic output feedback controller, coupled with a disturbance observer to cancel out input disturbance effects, was augmented with an anti-windup compensator to locally stabilize the input-delay LPV system under saturation, model uncertainty, and exogenous disturbances. Sufficient delay-dependent conditions to asymptotically stabilize the closed-loop system were derived using Lyapunov-Krasovskii functionals and a modified generalized sector condition to address the input saturation nonlinearity. The level of disturbance rejection was characterized via the closed-loop induced L2-norm of the closed-loop system in the form of linear matrix inequality (LMI) constraints. The results are examined in the context of the mean arterial pressure (MAP) control in the clinical resuscitation of critical hypotensive patients. The MAP variation response to the injection of vasopressor drugs was modeled as an LPV system with a varying input delay and was susceptible to model uncertainty and input/output disturbances. A Bayesian filtering method known as the cubature Kalman filter (CKF) was used to estimate the instantaneous values of the parameters. The varying delay was estimated via a multiple-model approach. The proposed input-delay LPV control was validated in closed-loop simulations to demonstrate its merits and capabilities in the presence of drug administration constraints.

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Composite anti-disturbance control for stochastic systems with multiple heterogeneous disturbances and input saturation

Cited by 32 publications

References 35 publications

Disturbance observer based control for dynamically positioned ships with ocean environmental disturbances and actuator saturation

Disturbance observer based control for dynamically positioned ships with ocean environmental disturbances and actuator saturation

Tracking control design for periodic piecewise polynomial systems with multiple disturbances

Observer-Based Control of LPV Systems with Input Delay and Saturation and Matched Disturbances via a Generalized Sector Condition

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