Robust Stochastic Sampled-Data H∞ Control for a Class of Mechanical Systems With Uncertainties

Dharani, S.; Rakkiyappan, R.; Cao, Jinde

doi:10.1115/1.4030800

Cited by 23 publications

(11 citation statements)

References 37 publications

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“…It is worth pointing out that one of our possible research topics in future is to consider the distributed filtering problems with other performance requirements such as H ∞ specifications investigated in [4], [5].…”

Section: Optimization Algorithmsmentioning

confidence: 99%

Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks

Wang

Lam

et al. 2017

IEEE Trans. Cybern.

164

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Abstract-In this paper, the distributed set-membership filtering problem is investigated for a class of discrete time-varying system with an event-based communication mechanism over sensor networks. The system under consideration is subject to sectorbounded nonlinearity, unknown but bounded noises and sensor saturations. Each intelligent sensing node transmits the data to its neighbors only when certain triggering condition is violated. By means of a set of recursive matrix inequalities, sufficient conditions are derived for the existence of the desired distributed event-based filter which is capable of confining the system state in certain ellipsoidal regions centered at the estimates. Within the established theoretical framework, two additional optimization problems are formulated: one is to seek the minimal ellipsoids (in the sense of matrix trace) for the best filtering performance, and the other is to maximize the triggering threshold so as to reduce the triggering frequency with satisfactory filtering performance. A numerically attractive chaos algorithm is employed to solve the optimization problems. Finally, an illustrative example is presented to demonstrate the effectiveness and applicability of the proposed algorithm.

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Section: Optimization Algorithmsmentioning

confidence: 99%

Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks

Wang

Lam

et al. 2017

IEEE Trans. Cybern.

164

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“…LFT in the research of the stochastic stability of equilibria has been widely studied by many authors (see [13]- [15]). This technique is successfully developed for the stochastic systems in more general forms [16]- [19].…”

Section: Introductionmentioning

confidence: 97%

Mean square stabilisation of complex oscillatory regimes in nonlinear stochastic systems

Bashkirtseva

Ryashko

2015

International Journal of Control

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A problem of stabilization of the randomly forced periodic and quasiperiodic modes for nonlinear dynamic systems is considered. For this problem solution, we propose a new theoretical approach to consider these modes as invariant manifolds of the stochastic differential equations (SDEs) with control. The aim of the control is to provide the exponential mean square (EMS) stability for these manifolds. A general method of the stabilization based on the algebraic criterion of the EMS-stability is elaborated. A constructive technique for the design of the feedback regulators stabilizing various types of oscillatory regimes is proposed. A detailed parametric analysis of the problem of the stabilization for stochastically forced periodic and quasiperiodic modes is given. An illustrative example of stochastic Hopf system is included to demonstrate the effectiveness of the proposed technique.

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“…The H∞ optimal control theory has been widely used for robustness [12][13][14][15][16] since it was devised in the early 1980s by Zames and Francis. In the H∞ approach, the designer from the outset specifies a model of system uncertainty, such as additive perturbation disturbance.…”

Section: Introductionmentioning

confidence: 99%

Improving Handling Stability Performance of Four-Wheel Steering Vehicle Based on the H2/H∞ Robust Control

Liu

Chen

et al. 2019

Applied Sciences

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Considering the demand for vehicle stability control and the existence of uncertainties in the four-wheel steering (4WS) system, the mixed H2/H∞ robust control methodology of the 4WS system is proposed. Firstly, the linear 2DOF vehicle model, the nonlinear 8DOF vehicle model, the driver model, and the rear wheel electrohydraulic system model were constructed. Secondly, based on the yaw rate tracking strategy, the mixed H2/H∞ controller was designed with the optimized weighting functions to guarantee system performance, robustness, and the robust stability of the 4WS vehicle stability control system. The H∞ method was applied to minimize the effects of modeling uncertainties, sensor noise, and external disturbances on the system outputs, and the H2 method was used to ensure system performance. Finally, numerical simulations based on Matlab/Simulink and hardware-in-the-loop experiments were performed with the proposed control strategy to identify its performance. The simulation and experimental results indicate that the handling stability of the 4WS vehicle is improved by the H2/H∞ controller and that the 4WS system with the H2/H∞ controller has better handling stability and robustness than those of the H∞ controller and the proportional controller.

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Robust Stochastic Sampled-Data H∞ Control for a Class of Mechanical Systems With Uncertainties

Cited by 23 publications

References 37 publications

Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks

Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks

Mean square stabilisation of complex oscillatory regimes in nonlinear stochastic systems

Improving Handling Stability Performance of Four-Wheel Steering Vehicle Based on the H2/H∞ Robust Control

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