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.

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.

Passive output feedback control for non-linear systems with time delays

2009 ◽  
Vol 223 (6) ◽  
pp. 737-743 ◽  
Author(s):  
X Luan ◽  
F Liu ◽  
P Shi
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Time Delays ◽  
Passive Control ◽  
Output Feedback Control ◽  
Design Tool ◽  
Linear Matrix ◽  
Non Linear ◽  
Non Linear Systems

This paper focuses on the passive output feedback control problem for a class of non-linear systems with time delays. By using multilayer neural networks as an off-line-aided design tool, a dynamic output feedback controller with certain dissipation is developed using the passive control theory in terms of linear matrix inequalities (LMIs), which guarantees the closed-loop system asymptotically stable and strictly passive. It is shown that the solvability of the passive controller design problem is implied by the feasibility of LMIs. A numerical example is given to demonstrate the validity of the proposed approach.

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