Hamilton–Jacobi equations in dynamical optimization problems for neutral-type systems

Author(s):  
Mikhail Igorevich Gomoyunov ◽  
◽  
Nikolay Yurievich Lukoyanov ◽  
Anton Romanovich Plaksin ◽  
◽  
...  
Author(s):  
Yuheng Wei ◽  
Dongbing Tong ◽  
Qiaoyu Chen ◽  
Yuqing Sun ◽  
Wuneng Zhou

This study addresses the fault estimation (FE) issue for neutral-type systems with sensor faults and actuator faults through the intermediate observer. First, it is well-known that the observer matching condition (OMC) ought to be met for most traditional FE methods, which is actually difficult to satisfy for many systems. In order to overcome this limitation, a suitable variable is designed and the intermediate observer is proposed to estimate the actuator and sensor faults for neutral-type systems simultaneously. Second, based on linear matrix inequalities, sufficient conditions are derived, which guarantee the existence of the intermediate observer. An augmented descriptor system is constructed for the neutral-type systems. By the Lyapunov stability theory, states of error systems are ultimately bounded. Finally, two examples demonstrate the effectiveness and practicability of the designed strategy.


2018 ◽  
Vol 51 (14) ◽  
pp. 177-182 ◽  
Author(s):  
Marco A. Gomez ◽  
Alexey V. Egorov ◽  
Sabine Mondié

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