Resilient observer design for discrete-time nonlinear systems with general criteria

Jeong, Chung Seop; Yaz, E.; Yaz, Y.I.

doi:10.1109/cca.2011.6044470

Cited by 7 publications

(1 citation statement)

References 40 publications

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“…Again, applying lemma 2 to the sixth term of inequality (18) with ε 4 and using inequalities (3) and (4), we have…”

Section: Proofmentioning

confidence: 99%

A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

Pourgholi¹,

Majd²

2011

Chinese Phys. B

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In this paper, chaos synchronization in the presence of parameter uncertainty, observer gain perturbation and exogenous input disturbance is considered. A nonlinear non-fragile proportional-integral (PI) adaptive observer is designed for the synchronization of chaotic systems; its stability conditions based on the Lyapunov technique are derived. The observer proportional and integral gains, by converting the conditions into linear matrix inequality (LMI), are optimally selected from solutions that satisfy the observer stability conditions such that the effect of disturbance on the synchronization error becomes minimized. To show the effectiveness of the proposed method, simulation results for the synchronization of a Lorenz chaotic system with unknown parameters in the presence of an exogenous input disturbance and abrupt gain perturbation are reported.

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“…Again, applying lemma 2 to the sixth term of inequality (18) with ε 4 and using inequalities (3) and (4), we have…”

Section: Proofmentioning

confidence: 99%

A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

Pourgholi¹,

Majd²

2011

Chinese Phys. B

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Alternative Optimal Filter for Linear State Delay Systems

Perez

Martinez-Zuniga

2006

Proceedings of the 45th IEEE Conference on Decision and Control

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In this paper, the optimal filtering problem for linear systems with state delay over linear observations is treated using the optimal estimate of the state transition matrix. As a result, the alternative optimal filter is derived in the form similar to the traditional Kalman-Bucy one, i.e., consists of only two equations, for the optimal estimate and the estimation error variance. This presents a significant advantage in comparison to the previously obtained optimal filter [1], which includes a variable number of covariance equations, unboundedly growing as the filtering horizon tends to infinity. Performances of the two optimal filters are compared in example; the obtained results are discussed.

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Optimal filtering for linear states over polynomial observations

Perez

Calderon-Alvarez

2007

2007 46th IEEE Conference on Decision and Control

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Resilient observer design for discrete-time nonlinear systems with general criteria

Cited by 7 publications

References 40 publications

A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

Alternative Optimal Filter for Linear State Delay Systems

Optimal filtering for linear states over polynomial observations

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