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.

H ∞ Control for Continuous-Time Switched Linear Systems

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
Grace S. Deaecto ◽  
José C. Geromel
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Continuous Time ◽  
Design Problem ◽  
State Feedback ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Switched Linear Systems

This paper deals with the output feedback H∞ control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a dynamic full order linear controller to satisfy a prespecified H∞ level defined by the L2 gain from the input to the output signal. Initially, the state feedback version of this problem is solved in order to put in evidence the main difficulties we have to face toward the solution of the output feedback control design problem. The results reported in this paper are based on the so called Lyapunov–Metzler inequalities, which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through a linear matrix inequality based method is the main contribution of the present paper. An academic example borrowed from literature is used for illustration.

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.

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.

Switching Antiwindup Design on Enlarging the Domain of Attraction for a Supercavitating Vehicle Subject to Actuator Saturation

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
Baochen Qiang ◽  
Zhang Le
Keyword(s):  
Optimization Problem ◽  
Closed Loop ◽  
Actuator Saturation ◽  
Domain Of Attraction ◽  
Inequality Constraints ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Supercavitating Vehicle ◽  
Linear Differential ◽  
Compensation Design

This paper presents a new switching antiwindup compensation design to maximize the domain of attraction for a supercavitating vehicle subject to actuator saturation. The dive-plane dynamics of the vehicle are considered. By applying the linear differential inclusion expression of saturated feedbacks, conditions under which the compensator locally stabilizes the closed-loop system are then derived. The design of antiwindup gains on maximizing the system's domain of attraction is finally formulated and solved as an iterative optimization problem with linear matrix inequality constraints. Simulations are conducted for systems with magnitude and rate limits to evaluate the effectiveness of the proposed method.

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