Disturbance-observer-based control & ℋ∞ control for non-linear Markovian jump singular systems with multiple disturbances

2014 ◽  
Vol 8 (16) ◽  
pp. 1689-1697 ◽  
Author(s):  
Xiuming Yao ◽  
Lianqing Zhu ◽  
Lei Guo
Keyword(s):  
Disturbance Observer ◽  
Singular Systems ◽  
Markovian Jump ◽  
Multiple Disturbances ◽  
Non Linear

Stochastic disturbance observer-based adaptive anti-disturbance control for non-linear systems with stochastic non-harmonic multiple disturbances

2017 ◽  
Vol 40 (10) ◽  
pp. 3222-3231 ◽  
Author(s):  
Yanpeng Pan
Keyword(s):  
Linear Systems ◽  
Disturbance Observer ◽  
Closed Loop ◽  
Loop System ◽  
State Feedback Control ◽  
Closed Loop System ◽  
Stochastic Disturbance ◽  
Multiple Disturbances ◽  
Non Linear ◽  
Non Linear Systems

In this paper, the problem of anti-disturbance control is studied for non-linear systems with stochastic multiple disturbances. The multiple disturbances include two types: one is the stochastic harmonic disturbance and the other non-harmonic noise generated by a linear stochastic exogenous system. An adaptive stochastic disturbance observer (ASDO) is constructed to estimate both the two aforementioned disturbances. Combining the disturbance estimation with a conventional state feedback control law, a composite anti-disturbance control scheme is constructed such that the closed-loop system is stochastically stable, and different types of disturbances may be attenuated and rejected. By using the Lyapunov function method and linear matrix inequalities technique, sufficient conditions for the stochastic stability of the closed-loop system are established. Moreover, an adaptive stochastic extended state observer (ASESO) is proposed for the output feedback case. Finally, an application example is provided to demonstrate the effectiveness of the proposed method.

Composite hierarchical control for Markovian jump systems with multiple disturbances and time-varying fault

2018 ◽  
Vol 41 (7) ◽  
pp. 1948-1956 ◽  
Author(s):  
Xiuming Yao ◽  
Nuandi Zhang ◽  
Ju H Park
Keyword(s):  
Fault Diagnosis ◽  
Disturbance Observer ◽  
Hierarchical Control ◽  
State Feedback Control ◽  
Disturbance Attenuation ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Multiple Disturbances ◽  
Jump Systems

We investigate a robust fault-tolerant control problem for continuous-time Markovian jump systems with an actuator fault and multiple disturbances (one is norm-bounded, whereas the other can be modelled by an exogenous system). Our aim is to construct, simultaneously, a model-dependent disturbance observer for modelling the disturbance estimate and a model-dependent fault diagnosis observer for the time-varying fault estimate and then propose a composite hierarchical control scheme by integrating the fault and disturbance estimates using a state feedback control strategy. Application of the [Formula: see text] control methodology ensures stochastic stability of the resulting composite system with fault compensation, disturbance attenuation and rejection performances. On the basis of Lyapunov stability theory, the existence conditions of the disturbance observer, fault diagnosis observer and composite controller are derived from the solution to a convex optimization problem. Finally, a numerical example is given to illustrate the effectiveness of the proposed techniques.

scholarly journals Stability and Stabilization of Continuous-Time Markovian Jump Singular Systems with Partly Known Transition Probabilities

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jumei Wei ◽  
Rui Ma
Keyword(s):  
Continuous Time ◽  
Controller Design ◽  
Partial Information ◽  
Transition Probabilities ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Stability And Stabilization ◽  
The Stability

This paper investigates the problem of the stability and stabilization of continuous-time Markovian jump singular systems with partial information on transition probabilities. A new stability criterion which is necessary and sufficient is obtained for these systems. Furthermore, sufficient conditions for the state feedback controller design are derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.

A non-linear disturbance observer-based cooperative adaptive cruise control for real traffic scenarios

2021 ◽  
pp. 095440702110518
Author(s):  
Jaswandi Sawant ◽  
Uttam Chaskar
Keyword(s):  
Disturbance Observer ◽  
Adaptive Cruise Control ◽  
Initial Conditions ◽  
Control Input ◽  
Highway Traffic ◽  
Cruise Control ◽  
Cooperative Adaptive Cruise Control ◽  
Non Linear ◽  
Linear Disturbance ◽  
Real Traffic

Cooperative adaptive cruise control (CACC) has a strong potential to improvise highway traffic capacity and ease traffic disturbances. Extensive exploration is not carried out in the area of CACC for a cut-in maneuver. Contemporary control strategies proposed for CACC cannot regulate the peaking of control input and thus the acceleration/deceleration of following vehicles when applied for various real traffic scenarios. This paper aims to develop a non-linear disturbance observer-based sliding mode control to control a CACC system for various traffic scenarios. The proposed observer estimates the uncertainty present in the actuator dynamics and the preceding vehicle’s acceleration as the lumped disturbance at the same time, it adjusts the observer gain to alleviate the peaking of control input. The stability of individual vehicles and the string stability of vehicle platoon are derived The performance of the proposed scheme is validated with various traffic scenarios, that is, cut-in maneuver, cut-out maneuver, and non-zero initial conditions. The effectiveness of the proposed scheme is demonstrated by comparing it with a linear disturbance observer-based control.

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