State-space interpretation of Foster-synthesis method for LC networks

1972 ◽  
Vol 8 (9) ◽  
pp. 240 ◽  
Author(s):  
Satish Puri ◽  
Hiroshi Takeda
Keyword(s):  
State Space ◽  
Synthesis Method

REALIZATION OF SQUARE ROOT DOMAIN TOW–THOMAS BIQUADRATIC FILTER

2010 ◽  
Vol 19 (05) ◽  
pp. 1015-1024
Author(s):  
SİNEM ÖLMEZ ◽  
UĞUR ÇAM
Keyword(s):  
State Space ◽  
Supply Voltage ◽  
Synthesis Method ◽  
Model Parameters ◽  
Square Root ◽  
Spice Simulation ◽  
Biquadratic Filter ◽  
Simulation Results ◽  
Theoretical Results ◽  
Good Agreement

In this paper, a Tow–Thomas biquadratic filter designed in square root domain is proposed. The presented filter is constructed with a lossy integrator, a lossless integrator, and a summer block. To the best knowledge of the authors, the filter is the first square root domain Tow–Thomas filter in the literature. The state space synthesis method is used to design the biquadratic filter. The filter operated at 2.5 V supply voltage is simulated by using SPICE simulation program with 0.25 μm TSMC CMOS model parameters. Simulation results are in good agreement with theoretical results that the cut-off frequency and quality factor of the filter are tunable electronically.

scholarly journals Sum of Squares Approach for Nonlinear H∞ Control

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Ai-ping Pang ◽  
Zhen He ◽  
Ming-han Zhao ◽  
Guang-xiong Wang ◽  
Qin-mu Wu ◽  
...  
Keyword(s):  
Control Problem ◽  
State Space ◽  
Nonlinear Problem ◽  
Design Process ◽  
Synthesis Method ◽  
Sum Of Squares ◽  
Space Region ◽  
Sufficient Condition ◽  
Set Containment ◽  
Reasonable Result

A proper Hamilton-Jacobi-Isaacs (HJI) inequality must be solved in a nonlinear H∞ control problem. The sum of squares (SOS) method can now be used to solve an analytically unsolvable nonlinear problem. A HJI inequality suitable for SOS approach is derived in the paper. The SOS algorithm for solving the HJI inequality is also provided. Conservativeness of the SOS method is then discussed in the paper. The conservativeness of the SOS approach is caused by the method itself, because it is really a synthesis method over the entire state space. To reduce the conservativeness, a local H∞ design on a restricted state-space region is proposed. But the SOS approach for the local H∞ design also suffers from the conservativeness problem, because the S-procedure for solving the set-containment constraint provides only a sufficient condition. The above-mentioned sources of conservativeness are peculiar for the SOS approaches. So a proper approach must be carefully selected in the design process to get a reasonable result. A design example is also given in the paper.

Hybrid state-space self-tuning control using dual-rate sampling

1991 ◽  
Vol 138 (1) ◽  
pp. 50 ◽  
Author(s):  
Leang S. Shieh ◽  
Xiao M. Zhao ◽  
John W. Sunkel
Keyword(s):  
State Space ◽  
Hybrid State ◽  
Self Tuning
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