Gain-scheduled ℋ2 controller synthesis for linear parameter varying systems via parameter-dependent Lyapunov functions

2006 ◽  
Vol 16 (5) ◽  
pp. 243-257 ◽  
Author(s):  
Carlos E. de Souza ◽  
Alexandre Trofino
Keyword(s):  
Lyapunov Functions ◽  
Controller Synthesis ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Parameter Varying ◽  
Parameter Dependent ◽  
Gain Scheduled

H∞ fault-tolerant control for switched linear parameter-varying systems: A parameter and state-dependent switching method with dwell time

2018 ◽  
Vol 233 (1) ◽  
pp. 18-30 ◽  
Author(s):  
Dong Yang ◽  
Guangdeng Zong ◽  
Jun Zhao
Keyword(s):  
Lyapunov Functions ◽  
Dwell Time ◽  
Fault Tolerant ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Actuator Failures ◽  
State Dependent ◽  
Parameter Varying ◽  
Parameter Dependent

This article discusses the issue of H∞ fault-tolerant control for switched linear parameter-varying systems with actuator failures using the multiple discretized parameter-dependent Lyapunov functions method. A key point of this work is to construct the multiple discretized parameter-dependent Lyapunov functions, which provide an effective tool for avoiding the Zeno behavior generated by the parameter and state-dependent switching approach. This is not a simple extension of traditional multiple Lyapunov functions because of the introduction of external parameter and dwell time. First, a switching strategy depending on the parameter, state and dwell time is proposed, which gets rid of the assumption of finite number of switchings on any finite time. Then, the parameter-dependent controller is designed which, together with the parameter and state-dependent switching law with dwell time, can guarantee the [Formula: see text] performance of the closed-loop switched linear parameter-varying system for all admissible actuator failures. Finally, a turbofan engine example is given to demonstrate the applicability of the main results.

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