Design of switched linear systems in the presence of actuator saturation and L-infinity disturbances

2010 ◽  
Vol 8 (3) ◽  
pp. 333-343 ◽  
Author(s):  
Liang Lu ◽  
Zongli Lin ◽  
Haijun Fang
Keyword(s):  
Linear Systems ◽  
Actuator Saturation ◽  
Switched Linear Systems

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.

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.

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