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Full Description
In many industrial applications, the existing constraints mandate the use of controllers of low and fixed order while typically, modern methods of optimal control produce high-order controllers. The authors seek to start to bridge the resultant gap and present a novel methodology for the design of low-order controllers such as those of the P, PI and PID types. Written in a self-contained and tutorial fashion, this book first develops a fundamental result, generalizing a classical stability theorem - the Hermite-Biehler Theorem - and then applies it to designing controllers that are widely used in industry. It contains material on:
• current techniques for PID controller design;
• stabilization of linear time-invariant plants using PID controllers;
• optimal design with PID controllers;
• robust and non-fragile PID controller design;
• stabilization of first-order systems with time delay;
• constant-gain stabilization with desired damping
• constant-gain stabilization of discrete-time plants.
Contents
1. Overview of Control Systems.- 2. Some Current Techniques for PID Controller Design.- 3. The Hermite-Biehler Theorem and Its Generalization.- 4. Stabilization of Linear Time-invariant Plants Using PID Controllers.- 5. Optimal Design Using PID Controllers.- 6. Robust and Non-fragile PID Controller Design.- 7. Stabilization of First-order Systems with Time Delay.- 8. Constant Gain Stabilization with Desired Damping.- 9. Constant Gain Stabilization of Discrete-time Plants.- References.
