Disturbance attenuation and rejection for stochastic Markovian jump system with partially known transition probabilities

Summary This paper studies the finite‐time stabilizing control problem for a class of switched stochastic nonlinear systems (SSNSs) in p‐normal form. The switched systems under consideration possess the powers of different positive rational numbers and the dead‐zone input nonlinearities. Based on the improving finite‐time stability theorem for SSNSs established in this paper, a general framework to address common state feedback for SSNSs is developed by adopting the common Lyapunov function–based adding a power integrator technique. It is proved that the proposed controller renders the trivial solution of the closed‐loop system uniformly finite‐time stable in probability under arbitrary switchings. Finally, simulation results are given to confirm the validity of the proposed approach.

Section: Introductionmentioning

confidence: 99%

Finite‐time stabilization for a class of switched stochastic nonlinear systems with dead‐zone input nonlinearities

Gao

Liu

2018

“…On the other hand, stochastic systems exist widely in practice and some results have been presented . As is well known, in the design of the disturbance observer, certain prior information is essential to generated a good disturbance estimation performance.…”

Section: Introductionmentioning

confidence: 99%

“…In this article, the multiple heterogeneous disturbances and time‐varying faults are considered simultaneously, a novel elegant antidisturbance fault‐tolerant control (EADFTC) strategy is developed by combining adaptive DOBC, H ∞ technology and linear matrix inequality (LMI) method for a class of stochastic systems. The main contributions can be summarized as follows: Different from current works in Reference , more complex multiple heterogeneous disturbances are considered. In addition, the uncertain modeled disturbance has been extended from the disturbance with partially known information to the disturbance with unknown parameters and multiple nonlinearities, the range of the system disturbances has been extended further. A novel adaptive nonlinear disturbance observer (ANDO) is presented to online estimate the disturbance with unknown parameters and multiple nonlinearities, which overcomes the challenges caused by the unpredictability of modeled disturbance parameters and the influence of multiple nonlinear dynamics. In the simultaneous presence of multiple heterogeneous disturbances and time‐varying faults, the technical difficulties arise from the impact of disturbances estimation and FD on each other, which leads to the invalidity of disturbance estimation and FD.…”

Section: Introductionmentioning

confidence: 99%

Elegant antidisturbance fault‐tolerant control for stochastic systems with multiple heterogeneous disturbances

Dong

Wei

et al. 2020

Summary In this article, the elegant antidisturbance fault‐tolerant control (EADFTC) problem is studied for a class of stochastic systems in the simultaneous presence of multiple heterogeneous disturbances and time‐varying faults. The multiple heterogeneous disturbances include white noise, norm bounded uncertain disturbances and uncertain modeled disturbances with multiple nonlinearities and unknown amplitudes, frequencies, and phases. The time‐varying fault signals are caused by lose efficacy of actuator. To online estimate uncertain modeled disturbances and time‐varying faults, a novel composite observer structure consisting of the adaptive nonlinear disturbance observer and the fault diagnosis observer is constructed. The novel EADFTC strategy is proposed by integrating composite observer structure with adaptive disturbance observer‐based control theory and H∞ technology. It is proved that all the signals of closed‐loop system are asymptotically bounded in mean square under the circumstances of multiple heterogeneous disturbances and time‐varying faults occur simultaneously. Finally, the effectiveness and availability of proposed strategy are demonstrated by means of the numerical simulation and a doubly fed induction generators system simulation, respectively.

“…In addition, in order to improve transmission efficiency and save network resources, the quantization control was often applied in networked plants, which classified and coded the different sizes of data transmitted by quantizer. Meanwhile, many existing literatures dealt with this problem . For example, an event‐triggered scheme and quantization for networked control systems were considered to reduce communication traffic of networks in the work of Garcia and Antsaklis .…”

Section: Introductionmentioning

confidence: 99%

Fault estimation for a class of nonlinear semi‐Markovian jump systems with partly unknown transition rates and output quantization

Liang

Zhang

Karimi

et al. 2018

Summary This paper studies the fault estimation problem for a class of nonlinear semi‐Markovian jump systems with partly unknown transition rates and output quantization. Firstly, a mode‐dependent intermediate variable is designed, which constructs an intermediate estimator to estimate fault signals of system. Secondly, the partly unknown transition rates and output quantization are considered and the sufficient conditions of stability for the error system are given in three cases by linear matrix inequalities. Moreover, the proposed nonlinear function satisfies Lipschitz condition, which can be employed in a multitude of practical systems. Finally, simulation results are provided to illustrate the effectiveness of the proposed theoretical results.