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Quantitative analyses of robust stability region and disturbance response of processes with an integrator and long dead-time

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2 Author(s)
Qing-Chang Zhong ; Fac. of Mech. Eng., Technion-Israel Inst. of Technol., Haifa, Israel ; Mirkin, L.

Different control schemes for processes with an integrator and long dead-time have resulted in the same disturbance response. Moreover, it has already been shown that such a response is sub-ideal. Hence, it is quite necessary to quantitatively study the achievable specifications and robust stability region. This paper is devoted to do so. As a result, the control parameter is able to be chosen with compromise between disturbance response and robustness quantitatively. Four specifications-(normalized) maximum dynamic error, maximum decay rate, (normalized) control action bound, and approximate recovery time-are given to measure the response of step disturbance. It is pointed out that any attempt to get normalized dynamic error less than τm is impossible and the allowable bound of relative gain uncertainty is √(3/2)

Published in:

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on  (Volume:2 )

Date of Conference:

2001