Stabilizing receding horizon H/sub ∞/ controls for linear continuous time-varying systems

2001 ◽  
Vol 46 (8) ◽  
pp. 1273-1279 ◽  
Author(s):  
Ki Baek Kim ◽  
Tae-Woong Yoon ◽  
Wook Hyun Kwon
Keyword(s):  
Continuous Time ◽  
Time Varying ◽  
Receding Horizon ◽  
Time Varying Systems

scholarly journals Finite-TimeH∞Filtering for Linear Continuous Time-Varying Systems with Uncertain Observations

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Huihong Zhao ◽  
Chenghui Zhang
Keyword(s):  
Quadratic Form ◽  
Continuous Time ◽  
Finite Time ◽  
Krein Space ◽  
State Space Model ◽  
Time Varying ◽  
Bounded Noise ◽  
Time Varying Systems ◽  
Kreĭn Space ◽  
Filtering Problem

This paper is concerned with the finite-timeH∞filtering problem for linear continuous time-varying systems with uncertain observations andℒ2-norm bounded noise. The design of finite-timeH∞filter is equivalent to the problem that a certain indefinite quadratic form has a minimum and the filter is such that the minimum is positive. The quadratic form is related to a Krein state-space model according to the Krein space linear estimation theory. By using the projection theory in Krein space, the finite-timeH∞filtering problem is solved. A numerical example is given to illustrate the performance of theH∞filter.

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