## Control and Dynamic Systems V34: Advances in Control Mechanics Part 1 of 2: Advances in Theory and ApplicationsControl and Dynamic Systems: Advances in Theory and Applications, Volume 34: Advances in Control Mechanics, Part 1 of 2 presents the fundamental aspects of mechanical systems control theory. This book deals with microburst, a severe meteorological condition significant to aircraft control. Organized into seven chapters, this volume begins with an overview of the problem of stable control of an aircraft subjected to windshear caused by microburst. This text then examines the results concerning control of an aircraft under windshear conditions. Other chapters consider the robust control problem using the variable structure control method. This book discusses as well the problem of finding zeros of a nonlinear vector function by using methods of dynamical systems analysis. The final chapter deals with the role of singularities and their effect on the global trait of dynamical systems. This book is a valuable resource for mechanical and materials engineers. Research workers and students will also find this book useful. |

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### Contents

1 | |

Chapter 2 OVERVIEW OF OPTIMAL TRAJECTORIES FOR FLIGHT IN A WINDSHEAR12 | 81 |

Chapter 3 CONTROLLERS FOR UNCERTAIN MECHANICAL SYSTEMS WITH ROBUSTNESS IN THE PRESENCE OF UNMODELLED FLEXI... | 125 |

Chapter 4 A NEW ROBUST CONTROLLER FOR LINEAR SYSTEMS WITH ARBITRARILY STRUCTURED UNCERTAINTIES | 155 |

A VARIABLE STRUCTURE SYSTEMS APPROACH | 175 |

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40 dash-dot 50 dash 55 solid algorithm altitude angle of attack Assumption asymptotically stable barrier manifolds basin of attraction behavior Bifurcation diagram BOEING bounded boundedness chaos chaotic motion computed consider continuous—time system control input control system Corless corresponding deﬁned differential equations discrete—time model discrete—time system domains of attraction downburst dynamical system eigenvalues equilibrium point estimator exists Figure ﬁnite ﬁrst flight fractal dimension given global guidance scheme l l l Leitmann limit cycle Lyapunov exponents Lyapunov function matrix mechanical system method microburst Miele Nonlinear Feedback Control numerical integration open—loop parameter periodic cells perturbation positive deﬁnite prey—predator system proof Proposed Stabilizing Control pseudo—Euler Rela relative path inclination robust controller roots of f Runge—Kutta satisﬁed Simpliﬁed Gamma Guidance simulation results solution strange attractor sufﬁciently survival capability switching surface take-off Theorem trajectory Uncertain Systems variable structure velocity Wang wind windshear models zeros of f