教師著作

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    Suitability of Redesigned Digital Control Systems Having an Interval Plant via an Evolutionary Approach
    (American Society of Mechanical Engineers, 2011-04-01) Chen-Chien Hsu; Tsung-Chi Lu
    In this paper, a quantitative index is proposed to address the performance evaluation and design issues in the digital redesign of continuous-time interval systems. From the perspective of signal energy, a worst-case energy resemblance index (WERI), defined as the ratio of the worst-case continuous signal energy (WCSE) of the continuous-time interval system over the worst-case discrete sequence energy (WDSE) of the redesigned digital system, is established for evaluating the closeness of the system performance between the redesigned digital control system and its continuous-time counterpart. Based on the WERI, performance of the redesigned digital systems can be evaluated for different discretization methods at different sampling times. It is found that no discretization method outperforms the others for all sampling times. Because of serious nonlinearities and nonconvexity involved, the determination of WCSE and WDSE is first formulated as an optimization problem and subsequently solved via an evolutionary algorithm. To guarantee stability of the redesigned digital system, the largest sampling time allowed is also evolutionarily determined to establish a sampling-time constraint under which robust Schur stability of the redesigned digital system can be ensured. For design purposes, sampling time required can be determined according to the user-specified WERI, which serves as a performance specification for fine tuning the performance of the redesigned digital control system.
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    直接型PID基因適應性控制器於部分未知的非線性系統
    (2008-06-07) 溫宏康; 姚立德; 王偉彥
    本篇提出一個以觀測器為基礎的輸出回授直接適應性PID 控制器,來即時控制一個未知的受控廠,使用Lyapunov 方法設計出一個適合的適應函數再利用RGA 來做線上參數的調整,調整PID 的三個參數p k 、i k 、d k 。本篇除了使用簡化型基因演算法(RGA)來做線上學習,同時使用了循序搜尋交配法(SSCP)來做交配點的尋找,配合單點基因交配法,可以做更有效率的交配動作,使最佳解更快尋找出來。而同時本篇使用PID 控制器來做設計,因PID 的架構簡單,同時使用的參數少,因此適合來設計我們的控制器。最後加入一個監督控制器來使系統穩定。最後並會推導穩定性。