Applications of Robust Control to Nonlinear Systems, Volume 205
American Institute of Aeronautics and Astronautics, Jan 1, 2004 - Technology & Engineering - 175 pages
This book offers a three-step approach to generating a robust nonlinear controller: modeling, synthesis, and robustness analysis. The publication is targeted to practicing engineers and graduate-level students working in guidance, information command and control systems, and CAD/CAM.
The methods covered in this book allow the user to design and analyze nonlinear controllers for nonlinear systems with several important and unique characteristics: the ability to specify the closed loop systems frequency response via requirements on the sensitivity (S) and complementary sensitivity (T), the ability to directly minimize an undesirable resonance or peak in the frequency response while simultaneously closing all loops from the input to the output vector in essentially one single design step, and the ability to analyze the stability characteristics for multiple independent and dependent problem variables. The approach uniquely allows the user to achieve stable and robust performance for systems which are both unstable and contain discontinuous nonlinearities using adaptive nonlinear controllers.
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Introduction to Robust Control
Robustness Analysis via Simplicial Algorithms
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0.5 sine wave 7.5 TIME Fig Actuator aileron amplitude amplitude-dependent analog circuit augmented plant Bang-Bang relay bank angle Bode plots Chapter circuit excited closed-loop system closed-loop system excited completely labeled simplex computed Define describing function approximation equivalent error feedback feedforward flight conditions FORTRAN simulation Fourier series frequency response Frequency rps given in Eq given in Fig Hoo optimal control im(g implementation input interconnection structure loop function low-pass filter method model reduction nonlinear controller Note Nyquist curves operational amplifier optimal controller output overlaid output vector parameter perturbation filter phugoid Reference and output reference signal reference sine wave Riccati equation Riemann sphere robust Roll Rate sensor shown in Fig simplicial map Simulink sine wave singlet singular value singular value decomposition solution Sperner proper Sperner's lemma stability domain stability region stability transition system with loop-shifted transfer function uncertainty unstable plant variable vertex vertices weighting zero