Output Feedback Control for Continuous-Time Switched Linear Systems Subject to Actuator Saturation

2011 ◽  
Author(s):  
Chang Duan ◽  
Fen Wu
Keyword(s):  
Linear Systems ◽  
Output Feedback ◽  
Continuous Time ◽  
Actuator Saturation ◽  
Output Feedback Control ◽  
Disturbance Attenuation ◽  
Switched Linear Systems ◽  
Control Approach ◽  
Bounded Disturbances ◽  
Disturbance Attenuation Level

This paper is devoted to output feedback ℋ∞ control problem for continuous-time switched linear systems subject to actuator saturation. Using minimal switching rule, nonlinear output feedbacks, expressed in the form of quasi-linear parameter varying system are designed to satisfy a pre-specified disturbance attenuation level defined by the regional ℒ2 gains over a class of energy-bounded disturbances. The synthesis condition is further simplified and can be solved through efficient LMI optimizations. The proposed switched control approach is also illustrated by a simple example.

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.

New Results on Continuous-Time Switched Linear Systems With Actuator Saturation

2013 ◽  
Author(s):  
Chang Duan ◽  
Fen Wu
Keyword(s):  
Linear Systems ◽  
Differential Inclusion ◽  
Continuous Time ◽  
Actuator Saturation ◽  
Previous Method ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Switched Linear Systems ◽  
Synthesis Conditions ◽  
Lmi Optimization

This paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion (NDI) description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimize the disturbance attenuation level defined by the regional ℒ2 gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities (BMIs) and can be solved by numerical search coupled with linear matrix inequality (LMI) optimization. Compared to the previous method based on polytopic differential inclusion (PDI), the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify effectiveness of the proposed approach.

scholarly journals Output control of continuous-time uncertain switched linear systems via switched static output feedback

2018 ◽  
Vol 93 (5) ◽  
pp. 1127-1146 ◽  
Author(s):  
Leonardo Ataide Carniato ◽  
Alexandre Ataide Carniato ◽  
Marcelo Carvalho Minhoto Teixeira ◽  
Rodrigo Cardim ◽  
Edson Italo Mainardi Junior ◽  
...  
Keyword(s):  
Linear Systems ◽  
Output Feedback ◽  
Continuous Time ◽  
Static Output Feedback ◽  
Output Control ◽  
Switched Linear Systems ◽  
Static Output
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