Journal of Control Science and Engineering / 2011 / Article / Tab 1

Research Article

Limit Cycle Predictions of Nonlinear Multivariable Feedback Control Systems with Large Transportation Lags

Table 1

Calculated results of a stable (Point 𝑄 1 ) and a unstable limit cycle (Point 𝑄 3 ).

Point 𝑁 1 ( π‘Ž 1 ) 𝑁 2 ( π‘Ž 2 ) πœ” 𝐴 1 𝐴 2 πœ• 𝑁 1 ( π‘Ž 1 ) / πœ• 𝐴 1 πœ• 𝑁 2 ( π‘Ž 2 ) / πœ• 𝐴 2 πœƒ 2 { 9 } πœƒ 2 { 1 1 } 𝑀 πœƒ 2

𝑄 1 0.57190.56910.78881.9041.889βˆ’0.185-0.1849βˆ’70.39Β°βˆ’70.39Β°0.93
1.1751.179+0.788+0.762βˆ’70.39Β°βˆ’70.39Β°0.92
𝑄 3 0.63660.53130.80021.4141.1360+1.149βˆ’88.49Β°βˆ’88.49Β°1.12
1.4142.1120βˆ’0.179βˆ’88.49Β°βˆ’88.49Β°0.61

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