scholarly journals Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Ruiping Xu ◽  
Zhen Liu ◽  
Cunchen Gao ◽  
Huimin Xiao
Keyword(s):  
Passive Control ◽  
Sliding Mode ◽  
External Disturbance ◽  
The State ◽  
Linear Matrix ◽  
Neutral Systems ◽  
State Estimate ◽  
Integral Sliding Mode ◽  
Time Varying Delay ◽  
System States

The problem of integral sliding mode control (ISMC) with passivity is investigated for a class of uncertain neutral systems with time-varying delay (NTSTD) and external disturbance. The system states are unavailable. An ISMC strategy is proposed based on the state estimate. By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. Then, a SM controller is synthesized to guarantee the reachability of the sliding surface predefined in the state estimate space. Finally, a numerical example shows the feasibility and superiority of the obtained result.

Adaptive Control of Systems with Time Varying Delay: A Sliding Mode Approach

2014 ◽  
Vol 668-669 ◽  
pp. 428-436
Author(s):  
Fa Xiang Xie ◽  
Bo Hai Ji
Keyword(s):  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Linear Matrix ◽  
Multiple Delays ◽  
Time Varying ◽  
Adaptive Sliding Mode ◽  
Time Varying Delay ◽  
Adaptive Sliding Mode Controller ◽  
System States ◽  
And Control

This paper concerns the design of robust controller for a linear system with time-varying state and input delay. The new adaptive sliding mode control algorithm of the system with multiple delays in system states and control inputs are proposed. The delay dependent conditions of the closed loop system are formulated and the equivalent gain of the adaptive sliding mode controller is obtained in the form of linear matrix inequalities (LMI). Finally, simulation results of a numerical example based on a practical inverted pendulum shows both the feasibility and efficiency of the proposed controller.

scholarly journals New delay-dependent observer-based control for uncertain stochastic time-delay systems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li
Keyword(s):  
Time Delay ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Noise Disturbances ◽  
System States ◽  
Delay Dependent ◽  
Stochastic Time

AbstractThis paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.

scholarly journals Sliding Mode Control of Uncertain Neutral Stochastic Systems with Multiple Delays

2008 ◽  
Vol 2008 ◽  
pp. 1-9 ◽  
Author(s):  
Dilan Chen ◽  
Weidong Zhang
Keyword(s):  
Sliding Mode Control ◽  
Stochastic Systems ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Multiple Delays ◽  
Sliding Mode Controller ◽  
Matrix Inequalities ◽  
Neutral Systems ◽  
Mode Control ◽  
Neutral Stochastic Systems

This paper is concerned with the sliding mode control for uncertain stochastic neutral systems with multiple delays. A switching surface is adopted first. Then, by means of linear matrix inequalities (LMIs), a sufficient condition is derived to ensure the global stochastic stability of the stochastic system in the sliding mode for all admissible uncertainties. The synthesized sliding mode controller guarantees the existence of the sliding mode.

On robust stability for uncertain neutral systems with non-differentiable interval time-varying discrete delay and nonlinear perturbations

2017 ◽  
Vol 11 (01) ◽  
pp. 1850007 ◽  
Author(s):  
Peerapongpat Singkibud ◽  
Kanit Mukdasai
Keyword(s):  
Robust Stability ◽  
Linear Matrix ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Interval Time ◽  
Time Varying Delay ◽  
Robust Stability Analysis ◽  
Discrete Interval ◽  
Varying Delay

In this paper, we investigate the problem of delay-range-dependent robust stability analysis for uncertain neutral systems with interval time-varying delays and nonlinear perturbations. The restriction on the derivative of the discrete interval time-varying delay is removed. By applying the augmented Lyapunov–Krasovskii functional approach, new improved integral inequalities, descriptor model transformation, Leibniz–Newton formula and utilization of zero equation, new delay-range-dependent robust stability criteria are derived in terms of linear matrix inequalities (LMIs) for the considered systems. Numerical examples have shown to illustrate the significant improvement on the conservatism of the delay upper bound over some reported results.

A linear matrix inequality–based proportional-derivative sliding mode control tuning method in robotic systems subjected to external disturbance

2020 ◽  
Vol 26 (23-24) ◽  
pp. 2297-2315
Author(s):  
Valiollah Ghaffari
Keyword(s):  
Sliding Mode Control ◽  
Linear Matrix Inequality ◽  
Sliding Mode ◽  
Robot Manipulator ◽  
External Disturbance ◽  
Inequality Constraints ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Tuning Method ◽  
Mode Control

The proportional-derivative sliding-mode control will be designed and tuned in the trajectory tracking of a robot manipulator which operates on uncertain dynamic environments. For achieving these goals, first, a linear matrix inequality–based framework is suggested to design a robust proportional-derivative sliding-mode control in the presence of external disturbances. Next, the parameters of the proportional-derivative sliding-mode control law will be tuned via another minimization problem subjected to some linear matrix inequality constraints. Thus, the controller parameters can be automatically updated via the solution of the optimization problem. The results are successfully used in the robot manipulator with considering two reference paths and some different loads. The simulation results show the effectiveness of the proposed method in comparison with the same technique.

MAINTAINING SYNCHRONIZATION BY DECENTRALIZED FEEDBACK CONTROL IN TIME DELAY NEURAL NETWORKS WITH PARAMETER UNCERTAINTIES

2007 ◽  
Vol 17 (02) ◽  
pp. 115-122 ◽  
Author(s):  
MOU CHEN ◽  
CHANG-SHENG JIANG ◽  
QING-XIAN WU ◽  
WEN-HUA CHEN
Keyword(s):  
Neural Networks ◽  
Feedback Control ◽  
External Disturbance ◽  
Synchronization Error ◽  
Linear Matrix ◽  
Parameter Uncertainties ◽  
Time Varying Delay ◽  
Control Scheme ◽  
Error Dynamics ◽  
Varying Delay

A decentralized feedback control scheme is proposed to synchronize linearly coupled identical neural networks with time-varying delay and parameter uncertainties. Sufficient condition for synchronization is developed by carefully investigating the uncertain nonlinear synchronization error dynamics in this article. A procedure for designing a decentralized synchronization controller is proposed using linear matrix inequality (LMI) technique. The designed controller can drive the synchronization error to zero and overcome disruption caused by system uncertainty and external disturbance.

Sliding mode observer based hysteresis compensation control for piezoelectric stacks

2020 ◽  
Vol 42 (14) ◽  
pp. 2760-2770
Author(s):  
Jiaming Hu ◽  
Xiaojin Zhu ◽  
Yubin Fang ◽  
Zhiyuan Gao ◽  
Yijia Zhou
Keyword(s):  
Sliding Mode ◽  
Piezoelectric Materials ◽  
External Disturbance ◽  
Linear Matrix ◽  
Observation Error ◽  
Hysteresis Compensation ◽  
Compensation Control ◽  
Hysteretic Effect ◽  
Practical Engineering ◽  
Piezoelectric Stacks

Piezoelectric stacks (PS) are wildly used as actuator mechanism for precise instrument in practical engineering. Nevertheless, hysteretic effect that is carried by the piezoelectric materials can degrade the control performance dramatically. For the purpose of improving the control precision, the problem of hysteresis compensation control for PS system is investigated in this paper. First, in order to compensate the hysteretic effect, two kinds of observers are proposed. The design of the observers has considered external disturbance and the creep effect in PS system. By utilizing Lyapunov function and linear matrix inequalities (LMI) technique, the observers can asymptotically estimate the hysteretic output with [Formula: see text] performance. Second, a hysteresis-compensation based back-stepping controller is established. The design of the controller has considered the observation error, and it has a certain robustness. At last, numerical and experimental simulations are carried out to verify the effectiveness of the proposed methods.

Stabilization of Fractional-Order Systems Subject to Saturation Element Using Fractional Dynamic Output Feedback Sliding Mode Control

2016 ◽  
Vol 12 (3) ◽  
Author(s):  
Esmat Sadat Alaviyan Shahri ◽  
Alireza Alfi ◽  
J. A. Tenreiro Machado
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Linear Component ◽  
Dynamic Output Feedback ◽  
Closed Loop System ◽  
Fractional Systems ◽  
Dynamic Output ◽  
System States

This paper addresses the design of a robust fractional-order dynamic output feedback sliding mode controller (FDOF-SMC) for a general class of uncertain fractional systems subject to saturation element. The control law is composed of two components, one linear and one nonlinear. The linear component corresponds to the fractional-order dynamics of the FDOF-SMC, while the nonlinear component is associated with the switching control algorithm. The closed-loop system exhibits asymptotical stability and the system states approach the sliding surface in a finite time. In order to design the controller, a linear matrix inequality (LMI)-based procedure is also derived. Simulation results demonstrate the feasibility of the FDOF-SMC strategy.

Robust Reliable Sliding Mode H∞ Control for Uncertain Stochastic Nonlinear Jump Systems with Actuator Failures

2011 ◽  
Vol 480-481 ◽  
pp. 1475-1479
Author(s):  
Zhong Yi Tang ◽  
Sang Chen Ni ◽  
Wei Ping Duan
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Sliding Mode ◽  
Uncertain System ◽  
The State ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Sliding Surface ◽  
State Matrix ◽  
Actuator Failures

The problems of stochastic stability and robust reliable sliding mode H∞ control for a class of nonlinear matched and mismatched uncertain systems with stochastic jumps are considered in this paper. A more practical model of actuator failures than outage is considered. Based on the state feedback method, the resulting closed-loop systems are reliable in that they remain robust stochastically stable and satisfy a certain level of H∞ disturbance attenuation not only when all actuators are operational, but also in case of some actuator failures. The uncertain system under consideration may have mismatched norm bounded uncertainties in the state matrix. The transition of the jumping parameters in the systems is governed by a finite-state markov process. A sufficient condition is given for the existence of integral sliding surface in terms of linear matrix inequalities (LMIs). Then, a reaching motion controller is designed such that the resulting closed-loop system can be driven onto the desired sliding surface in finite time. Moreover, a state feedback controller is also constructed by using the solution of LMIS. Finally, we give a design example in order to show the effectiveness of our method.

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