Synopses & Reviews
In the theory of optimal control, the LQ (linear quadratic) optimal problem plays an important role due to its physical meaning, and its solution is easily given by an algebraic Riccati equation. This solution, however, turns out to be weak from a practical viewpoint because of two impractical assumptions: the system must be free from disturbances and the entire state vector must be known. A new technique, called Integral Sliding Modes (ISM), was proposed to eliminate the effects of disturbances acting in the same subspace as the control from the very beginning of the process. Featuring original research from well-known experts in the field of sliding mode control, this book presents new design schemes for carrying out the implementation of an optimal control having the output system as the only information of the vector state. Furthermore, this new design works under the restrictions of matched disturbances without losing its features. By using LQ optimal control together with ISM, the LQ optimal control is made robust and an optimal sliding surface can be designed. The results presented allow optimal control theory to grow in its applicability to real-world systems.Main components of this book include: *An introduction to sliding modes, and background on the limitations of directly applying LQ optimal control*A new hierarchical scheme for the reconstruction of the entire state vector using ISM or a second-order algorithm*Control based on a robust mini-max LQ optimal control, with applications to multi-model and multi-plant systems*Appendices with a review of the robust maximum principle and a new method for adjusting the weighting vector in the LQ robust optimal controlOn the cutting-edge of optimal control research, Robust Output LQ Optimal Control via Integral Sliding Modes is an excellent resource for both graduate students and professionals involved in linear systems, optimal control, observation of systems with unknown inputs, and automatic control.
Synopsis
Featuring original research from well-known experts in the field of sliding mode control, thisbook presents new design schemes for a useful and practical optimal control with very few impractical assumptions. The results presented allow optimal control theory to grow in its applicability to real-world systems. On the cutting-edge of optimal control research, thisbookis an excellent resource for both graduate students and researchers in engineering, mathematics, and optimal control.
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