Robust and Optimal Control: A Two-port Framework Approach by Mi-Ching Tsai, Da-Wei Gu
By Mi-Ching Tsai, Da-Wei Gu
A Two-port Framework for strong and optimum Control introduces another method of powerful and optimum controller synthesis approaches for linear, time-invariant platforms, in line with the two-port process common in electric engineering. the unconventional use of the two-port approach during this context permits ordinary engineering-oriented solution-finding strategies to be built, requiring no arithmetic past linear algebra. A chain-scattering description presents a unified framework for developing the stabilizing controller set and for synthesizing H2 optimum and H∞ sub-optimal controllers. uncomplicated but illustrative examples clarify every one step.
A Two-port Framework for powerful and optimum Control features:
· a hands-on, tutorial-style presentation giving the reader the chance to copy the designs provided and simply to change them for his or her personal programs;
· an abundance of examples illustrating crucial steps in powerful and optimum layout; and
· end-of-chapter exercises.
To additional reveal the proposed techniques, within the final bankruptcy an program case learn is gifted which demonstrates using the framework in a real-world regulate method layout and is helping the reader speedy circulate on with their very own demanding situations. MATLAB® codes utilized in examples during the ebook and options to chose workout questions can be found for download.
The textual content could have specific resonance for researchers on top of things with an electric engineering historical past, who desire to stay away from spending over the top time in studying advanced mathematical, theoretical advancements yet want to know tips to care for powerful and optimum keep an eye on synthesis problems.
Please see [http://km.emotors.ncku.edu.tw/class/hw1.html] for options to the routines supplied during this book.
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Additional info for Robust and Optimal Control: A Two-port Framework Approach
1 One-Port and Two-Port Networks Before undertaking the study of a two-port network, it is worth reviewing the concept of a one-port network. 1a depicts a circuit with a single terminal which forms a standard one-port network. A one-port network circuit has only one terminal in which the output current is equal to input current. Unlike the one-port network, a two-port network circuit as illustrated in Fig. 1b has two terminals in which the input current is equal to the output current in each terminal.
2 Function Spaces and Signals Controllers or control schemes are as a matter of fact functions in the time domain or the frequency domain. Hence, the synthesis of the required controller, an optimal controller in particular, is a procedure in functional analysis. However, considering that the underlying systems in this book are mainly the linear time-invariant systems and that this book is primarily for practicing control engineers and engineering students, many mathematical definitions and deductions will not be included in order to make it more accessible to the targeted readers.
It is further decomposed with two sub-circuits as shown in Fig. 12. The sub-circuit of Fig. 25) Similarly, the sub-circuit of Fig. 22). H; ZL / " D CSDr A B C D # ! 34) The equivalence naturally leads to exploration of conversion formulae between these parameters. In the following, an example is used to illustrate how the parameter H from Z is determined. 37) parameter matrix can be converted into the chain parameters. 40) Note that the matrix conversion between any two parameter descriptions can be carried out by the same methodology.