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Full-Text Articles in Physical Sciences and Mathematics
Optimal Mixed-Norm Control Synthesis For Discrete-Time Linear Systems, David R. Jacques
Optimal Mixed-Norm Control Synthesis For Discrete-Time Linear Systems, David R. Jacques
Theses and Dissertations
A mixed-norm approach to control synthesis for discrete time linear systems is developed. Specifically, the problem of minimizing the H2 norm of a transfer function, subject to a combination of ℓ1 and-or H∞ norm constraints on dissimilar but related transfer functions is considered. The uniqueness of the optimal solution is shown, and numerical methods for approximating the optimal solution to within arbitrary accuracy are developed. These methods generally result in high order compensators which can not be implemented in most practical applications. In response to this, a numerical method is developed which solves for suboptimal solutions of …
A Microprocessor-Based Multivariable Interactive Control System, Sayed Mehdi Khayam-Nekouei
A Microprocessor-Based Multivariable Interactive Control System, Sayed Mehdi Khayam-Nekouei
Electronic Theses & Dissertations
This study outlines the various types of control systems and reviews the necessary mathematical techniques to solve the problem of multivariable interactive control. The characteristics as well as the state representation for control processes involving either p or v type canonical structures are discussed. Next, the characteristics of multivariable interactive discrete control systems are discussed in detail. The advantages of flexibility and speed of microprocessors are used as powerful tools to implement a microprocessor-based system can be employed to control discrete processes. To demonstrate a practical application of a microprocessor-based system in a multivariable interactive discrete process, the algorithm and …