scholarly journals Robust stabilization, robust performance, and disturbance attenuation for uncertain linear systems

1992 ◽  
Vol 23 (11) ◽  
pp. 67-80 ◽  
Author(s):  
Yeih J. Wang ◽  
Leang S. Shieh ◽  
John W. Sunkel
Keyword(s):  
Linear Systems ◽  
Robust Stabilization ◽  
Disturbance Attenuation ◽  
Robust Performance ◽  
Uncertain Linear Systems

Robust H∞ Control and Stabilization of Uncertain Switched Linear Systems: A Multiple Lyapunov Functions Approach

2005 ◽  
Vol 128 (3) ◽  
pp. 696-700 ◽  
Author(s):  
Zhijian Ji ◽  
Xiaoxia Guo ◽  
Long Wang ◽  
Guangming Xie
Keyword(s):  
Linear Systems ◽  
Lyapunov Functions ◽  
State Feedback ◽  
Robust Stabilization ◽  
Disturbance Attenuation ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Multiple Lyapunov Functions ◽  
Switched Linear Systems ◽  
Switched State Feedback

This paper addresses robust H∞ control and stabilization of switched linear systems with norm-bounded time-varying uncertainties. First, based on multiple Lyapunov functions methodology, a sufficient condition is derived for robust stabilization with a prescribed disturbance attenuation level γ only by employing state-dependent switching rules. Then the robust H∞ control synthesis via switched state feedback is studied. It is shown that a switched state-feedback controller can be designed to stabilize the switched systems with an H∞-norm bound if a matrix inequality based condition is feasible. This condition can be dealt with as linear matrix inequalities (LMIs) provided that the associated parameters are selected in advance. All the results presented can be regarded as an extension of some existing results for both switched and nonswitched systems.

scholarly journals Fault Detection for a Class of Uncertain Linear Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Qingyu Su ◽  
Jian Li
Keyword(s):  
Fault Detection ◽  
Linear Systems ◽  
Design Problem ◽  
Filter Design ◽  
Design Method ◽  
Disturbance Attenuation ◽  
Feedback Systems ◽  
Fault Detection Filter ◽  
Uncertain Linear Systems ◽  
Detection Filter

Design problem of the fault detection filter for a class of uncertain feedback systems is discussed in this paper. The system under consideration is the model with the nonstandard parameter uncertain regions. The fault detection filter design problem is reduced to an optimized filter design problem, which maximizes the sensitivity of the fault in the fault cases and meets the disturbance attenuation performance in both fault-free cases and fault cases, simultaneously. A numerical example is used to demonstrate the effectiveness of the proposed design method.

Robust Stabilization and Disturbance Rejection for a Class of Hybrid Linear Systems Subject to Exponential Uncertainty

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Fei Long ◽  
Changlin Li ◽  
Changzheng Cui ◽  
Shumin Fei
Keyword(s):  
Linear Systems ◽  
Disturbance Rejection ◽  
State Feedback ◽  
Robust Stabilization ◽  
Convex Polytope ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Feedback Controllers ◽  
Taylor Series Approximation ◽  
Model Subject

In this paper, we address the problem of robust stabilization and disturbance rejection for a class of hybrid linear systems subject to exponential uncertainties. By using Taylor series approximation and convex polytope technique, the exponentially uncertain hybrid linear system is transformed into an equivalent hybrid polytopic model subject to norm bounded uncertainty. For such equivalent hybrid linear model, we design its switching strategy and associated state feedback controllers so that such model is asymptotically stable with H∞ disturbance attenuation based on multiple Lyapunov function technology and linear matrix inequality (LMI) approach.

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