Vibration control of base-isolated structures using mixed H2/H∞ output-feedback control

2009 ◽  
Vol 223 (6) ◽  
pp. 809-820 ◽  
Author(s):  
H R Karimi ◽  
M Zapateiro ◽  
N Luo
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Design Methodology ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Building Structures ◽  
Matrix Inequalities ◽  
Closed Loop System

A mixed H2/ H∞ output-feedback control design methodology for vibration reduction of base-isolated building structures modelled in the form of second-order linear systems is presented. Sufficient conditions for the design of a desired control are given in terms of linear matrix inequalities. A controller that guarantees asymptotic stability and a mixed H2/ H∞ performance for the closed-loop system of the structure is developed, based on a Lyapunov function. The performance of the controller is evaluated by means of simulations in MATLAB/Simulink.

scholarly journals Output-Feedback Stabilization Control of Systems with Random Switchings and State Jumps

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Wei Qian ◽  
Shen Cong ◽  
Zheng Zheng
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Feedback Stabilization ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Output Feedback Stabilization ◽  
Stabilization Control ◽  
Exponentially Stable

The work is concerned with output-feedback stabilization control problem for a class of systems with random switchings and state jumps. The switching signal is supposed to obey Poisson distribution. Firstly, based on the asymptotical property of the distribution of switching points, we derive some sufficient conditions to guarantee the closed-loop system to be almost surely exponentially stable. Then, we pose a parametrization approach to convert the construction conditions of the output-feedback control into a family of matrix inequalities. Finally, a simulation example is given to demonstrate the effectiveness of our method.

Output Feedback Control for a Class of Switched Fuzzy Systems

2014 ◽  
Vol 536-537 ◽  
pp. 1170-1173
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Loop System ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Switching Law

The output feedback control problem is addressed for a class of switched fuzzy Systems. Using multiple Lyapunov function method and switching law, the relevant closed-loop system is asymptotically stable, with the switching law designed to implement the global asymptotic stability. The sufficient conditions to ensure the output feedback asymptotically stable output feedback control of closed-loop system are studied. The sufficient condition is transformed into Linear Matrix Inequality (LMI) problem which are more solvable. Finally, a numerical simulation example is employed to illustrate the effectiveness and the convergence of the design methodologies.

Delayed Output Feedback Control for Nonlinear Systems With Fuzzy Observers

2012 ◽  
Author(s):  
Mansour Karkoub ◽  
Tzu Sung Wu
Keyword(s):  
Feedback Control ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Tracking Error ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
External Disturbances ◽  
Control Scheme

In this paper, the design problem of delayed output feedback control scheme using two-layer interval fuzzy observers for a class of nonlinear systems with state and output delays is investigated. The Takagi-Sugeno type fuzzy linear model with an on-line update law is used to approximate the nonlinear system. Based on the fuzzy model, a two-layer interval fuzzy observer is used to reconstruct the system states according to equal interval output time delay slices. Subsequently, a delayed output feedback adaptive fuzzy controller is developed to override the nonlinearities, time delays, and external disturbances such that the H∞ tracking performance is achieved. The linguistic information is developped by setting the membership functions of the fuzzy logic system and the adaptation parameters to estimate the model uncertainties directly for using linear analytical results instead of estimating nonlinear system functions. The filtered tracking error dynamics are designed to satisfy the Strictly Positive Realness (SPR) condition. Based on the Lyapunov stability criterion and linear matrix inequalities (LMIs), some sufficient conditions are derived so that all states of the system are uniformly ultimately bounded and the effect of the external disturbances on the tracking error can be attenuated to any prescribed level and consequently an H∞ tracking control is achieved. Finally, a numerical example of a two-link robot manipulator is given to illustrate the effectiveness of the proposed control scheme.

Output feedback control design to enlarge the domain of attraction of a supercavitating vehicle subject to actuator saturation

2018 ◽  
Vol 40 (10) ◽  
pp. 3189-3200 ◽  
Author(s):  
Baochen Qiang ◽  
Le Zhang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Actuator Saturation ◽  
Output Feedback Control ◽  
Control Design ◽  
Domain Of Attraction ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Supercavitating Vehicle ◽  
Vertical Speed

To enlarge the domain of attraction of a supercavitating vehicle subject to actuator saturation, this paper presents a new output feedback control design in consideration of the immeasurable vertical speed. The dive-plane dynamics of a supercavitating vehicle are considered. By introducing the sector condition of the planing force, a new output feedback control law that locally stabilizes the closed-loop system is proposed. The design of the controller that maximizes the vehicle’s domain of attraction is then formulated and solved as an optimization problem with linear matrix inequality (LMI) constraints. Simulations are conducted for systems under saturation-oriented and non-saturation-oriented controllers. The results show that the proposed design can achieve a much larger domain of attraction than do conventional, non-saturation-oriented approaches.

scholarly journals Robust H∞ Observer-Based Control Design for Discrete-Time Nonlinear Systems With Time-Varying Delay

2021 ◽  
Vol 20 ◽  
pp. 88-97
Author(s):  
Mengying Ding ◽  
Yali Dong
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Time Varying Delay ◽  
Varying Delay

This paper investigates the problem of robust H∞ observer-based control for a class of discrete-time nonlinear systems with time-varying delays and parameters uncertainties. We propose an observer-based controller. By constructing an appropriate Lyapunov-Krasovskii functional, some sufficient conditions are developed to ensure the closed-loop system is robust asymptotically stable with H∞ performance in terms of the linear matrix inequalities. Finally, a numerical example is given to illustrate the efficiency of proposed methods.

Robust Gain-Scheduling Output Feedback Control With Noisy Scheduling Parameters

2015 ◽  
Author(s):  
Ali Khudhair Al-Jiboory ◽  
Guoming Zhu
Keyword(s):  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Gain Scheduling ◽  
Linear Matrix ◽  
Synthesis Methods ◽  
Matrix Inequalities ◽  
Feedback Controllers ◽  
Comparison Results ◽  
H2 Performance

Robust Gain-Scheduling (RGS) control strategy has been considered in this paper. In contrast to the conventional gain-scheduling synthesis methods, the scheduling parameters are assumed to be inexactly measured. This is a practical assumption since measurement noise is inevitable even with very accurate sensors. Multi-simplex modeling approach was used to model the scheduling parameters and their uncertainties in a convex domain. Sufficient conditions in terms of Parametrized Linear Matrix Inequalities (PLMIs) for synthesizing dynamic output-feedback controllers are derived. The resulting controller not only guarantees robust stability and H2 performance but also ensures robustness against scheduling parameters uncertainties. The effectiveness of the developed conditions is demonstrated through numerical example with simulation and comparisons with existing approaches from literature. The comparison results confirm that the developed approach outperforms the existing ones considerably.

Analysis and design on photovoltaic nonlinear system: A delta operator fuzzy control scheme

2020 ◽  
Vol 13 ◽  
Author(s):  
He Lin ◽  
Zhenhua Shao ◽  
Xingyi Wang
Keyword(s):  
Feedback Control ◽  
Nonlinear System ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Design Procedure ◽  
Linear Matrix ◽  
Delta Operator ◽  
Analysis And Design ◽  
Time Varying Delay

: The paper is concerned with the problem of robust ℋ͚ output feedback control for photo- voltaic nonlinear system. The delta operator fuzzy method is employed to exactly represent a class of photovoltaic nonlinear system subject to the time-varying delay and parametric uncertainties. We propose a fuzzy dynamic output feedback (FDOF) controller, and introduce a novel Lyapunov-Krasovskii functional (LKF) in delta domain, the framework of robust H∞ output feedback control is investigated. Sufficient conditions are derived for the existence of the desired FDOF controllers in terms of linear-matrix inequalities (LMIs). A numerical example is used to illustrate the design procedure of the present method.

Robust H∞ Output Feedback Control Design for Takagi-Sugeno Systems with Markovian Jumps: A Linear Matrix Inequality Approach

2006 ◽  
Vol 128 (3) ◽  
pp. 617-625 ◽  
Author(s):  
Sing Kiong Nguang ◽  
Peng Shi
Keyword(s):  
Feedback Control ◽  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Linear Matrix Inequality Approach ◽  
Takagi Sugeno

This paper investigates the H∞ output feedback control design for a class of uncertain nonlinear systems with Markovian jumps which can be described by Takagi-Sugeno models. Based on a linear matrix inequality (LMI), LMI-based sufficient conditions for the existence of a robust output feedback controller, such that the L2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value, are derived. An illustrative example is used to demonstrate the effectiveness of the proposed design techniques.

Exponentially Dissipative Control for Singular Impulsive Dynamical Systems

2017 ◽  
Vol 139 (4) ◽  
Author(s):  
Li Yang ◽  
Xinzhi Liu ◽  
Zhigang Zhang
Keyword(s):  
Dynamical Systems ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Dissipative Control ◽  
Necessary And Sufficient

This paper studies the problem of exponentially dissipative control for singular impulsive dynamical systems. Some necessary and sufficient conditions for exponential dissipativity of such systems are established in terms of linear matrix inequalities (LMIs). A state feedback controller is designed to make the closed-loop system exponentially dissipative. A numerical example is given to illustrate the feasibility of the method.

scholarly journals NonfragileH∞Control for Stochastic Systems with Markovian Jumping Parameters and Random Packet Losses

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jing Wang ◽  
Ke Zhang
Keyword(s):  
Closed Loop ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Markovian Jumping Parameters ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Packet Losses ◽  
Markovian Jumping ◽  
Physical Plant

This paper is concerned with the nonfragileH∞control problem for stochastic systems with Markovian jumping parameters and random packet losses. The communication between the physical plant and controller is assumed to be imperfect, where random packet losses phenomenon occurs in a random way. Such a phenomenon is represented by a stochastic variable satisfying the Bernoulli distribution. The purpose is to design a nonfragile controller such that the resulting closed-loop system is stochastically mean square stable with a guaranteedH∞performance levelγ. By using the Lyapunov function approach, some sufficient conditions for the solvability of the previous problem are proposed in terms of linear matrix inequalities (LMIs), and a corresponding explicit parametrization of the desired controller is given. Finally, an example illustrating the effectiveness of the proposed approach is presented.

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