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Research Area
Robust<br />
Control

Robust
Control

Robust control is a branch of control theory whose approach to controller design explicitly deals with uncertainty.
Time Delay<br />
System

Time Delay
System

Systems with time-delays are called time-delay systems. Controls of time delay systems are more complicated compared to ordinary systems.
Adaptive<br />
Filter

Adaptive
Filter

An adaptive filter is a system with a linear filter that has a transfer function controlled by variable parameters and a means to adjust those parameters according to an optimization algorithm.
Image<br />
Processing

Image
Processing

Image processing is processing of images using mathematical operations by using any form of signal processing for which the input is an image.
LATEST publication
  • An improved fragmentation approach to sampled-data synchronization of chaotic Lur’e systems

    JunMin Park, Seok Young Lee, PooGyeon Park

    Nonlinear Analysis: Hybrid Systems

    Abstract This paper considers the sampled-data synchronization problem for two identical chaotic Lur’e systems. Under aperiodic samplings, the output of the chaotic Lur’e systems is available only at sampling instants. An improved fragmentation approach addresses a system description of the fragmented state located between the last sampling instant and present time. The sampled output of the fragmented state system is updated only at sampling instants, like the identical chaotic Lur’e systems. Thus, utilizing the additional information on the fragmented state system helps in handling the sampling interval. In the looped-functional framework, a sampled-data synchronization criterion is proposed for stability analysis and control synthesis about stabilization in terms of linear matrix inequalities. Simulation results show the effectiveness of the proposed criterion.
  • A linear programming approach for stabilization of positive Markovian jump systems with a saturated single input

    In Seok Park, Nam Kyu Kwon, PooGyeon Park

    Nonlinear Analysis: Hybrid Systems

    Abstract This paper proposes a linear programming approach for stabilization of positive Markovian jump systems (PMJSs) with a saturated single input. The proposed approach first derives a sufficient condition for stabilization of PMJSs with input saturation based on the linear co-positive Lyapunov function. By introducing an intermediate scalar whose absolute value is less than the absolute value of product of nonnegative vector of the linear co-positive Lyapunov function and input matrix and constructing a special form of the controller gains, this approach obtains a modified condition applicable for the linear programming. Finally, four numerical examples show that the proposed approach gives the larger domain of attraction than the existing approach based on the quadratic Lyapunov function.
  • An improved stability criteria for neutral-type Lur’e systems with time-varying delays

    JunMin Park, Seok Young Lee, PooGyeon Park

    Journal of the Franklin Institute

    Abstract This paper improves stability criteria for neutral-type Lur’e systems with time-varying delays, where the nonlinearity satisfies sector and slope restrictions. A proposed Lyapunov-Krasovskii functional consisting of a quadratic term and integral terms for the time-varying delays and the nonlinearities, has four different characteristics. First, the quadratic term utilizes not only the current and delayed states but also the nonlinear vectors. Second, the integral terms for nonlinearities fully exploit the characteristics of sector and slope restrictions. Third, the integral terms for nonlinearities also exploit the characteristic of incremental restriction induced from the slope restriction. Fourth, this paper utilizes a vector related to the time derivative of the neutral delayed state to handle the neutral delay. Based on the proposed Lyapunov-Krasovskii functional, the improved stability criteria are derived in terms of linear matrix inequalities. Numerical examples show that the proposed criteria present less conservative results than the previous criteria.
LATEST project
ABOUT LABORATORY

Signal Processing and Control Laboratory has been organized since 1996. Our current research interests include convex optimization theories and their applications in control, estimation and signal processing.
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