Among the many techniques for designing linear multivariable analogue controllers, the two most popular optimal ones are H2 and H Ai optimization. The fact that most new industrial controllers are digital provides strong motivation for adapting or extending these techniques to digital control systems. This book, now available as a corrected reprint, attempts to do so. Part I presents two indirect methods of sampled-data controller design: These approaches include approximations to a real problem, which involves an analogue plant, continuous-time performance specifications, and a sampled-data controller. Part II proposes a direct attack in the continuous-time domain, where sampled-data systems are time-varying. The findings are presented in forms that can readily be programmed in, e.g., MATLAB.... recursion on (4.5): L = ALAa#39; + BBa#39; =agt; L A(ALAa#39; + BBa#39;)Aa#39; + BBa#39; A*LAa + ABBa#39;Aa#39; + BBa#39; =agt; L = A*LAa + A*BBa#39;Aa + ABBa#39;Aa#39; + BBa#39; etc. so L equals the convergent series of matrices L = BBa#39; + ABBa#39;Aa#39; + A*BBa#39;Aa + . . . . Let us return to computing ||g|2.
|Title||:||Optimal Sampled-Data Control Systems|
|Author||:||Tongwen Chen, Bruce A. Francis|
|Publisher||:||Springer Science & Business Media - 2012-12-06|