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The identification of unstable systems with time delay is first addressed. Two limit points of conditional stability are characterized using a relay and a novel nonlinear function. Algorithms are developed to calculate the information based on excited stable limit cycles. A cascade PID control structure is then proposed to stabilize the system and achieve desirable performance.
This paper presents the so-called two-stage least-squares algorithms to deal with practical identification difficulties often encountered in field testing, such as unsteady initial states, unknown load disturbances, and noise-corrupted measurement. For step and ramp responses, a general linear regression equation is derived from multiple integration of the differential system equation. Four types...
This study examines the nonlinear stability of general systems under single-loop PI control. The analysis focuses on the positive feedback region of the gain space which is important, for instance, when the system is open-loop unstable. By analyzing the normal form equation about a critical gain setting, the nonlinear stability and dynamics are classified for such systems. Criteria for global stability...
This study examines the nonlinear stability of general systems under single-loop PI control. The analysis focuses on the positive feedback region of the gain space which is important, for instance, when the system is open-loop unstable. By analyzing the normal form equation about a critical gain setting, the nonlinear stability and dynamics are classified for such systems. Criteria for global stability...
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