Modern Control Systems
Modern control systems is the most widely used textbook for introductory control theory courses taught in a variety of engineering disciplines. The book stays on top of recent developments in the field while providing a thorough treatment of the fundamentals. Five different types of end-of-chapter problems combined with running design examples throughout the text provide an unparalleled learing experience for students. The eleventh edition is the most current and relevant control theory textbook available and continues the tradition of excellence established in previous editions.New to this editionApproximately 30% of the end-of-chapter problems are new or revisedAll computer-aided design problems have been updated for this editionChapters 2 and 3 have been extensively updated in order to emphasize the importance of modeling in the overall control design process.Chapters 4 and 5 have been rewitten to better integrate key material, differentiate important topics, and elininate subject overlap.At the beginning of each chapter are new "Desired chapter outcomes" sections tot address new Abet specific requirements.Design-oriented material has been added in each chapter. In the early chapters, the emphasis is on modeling and in latter chapters on chapter-relevant design methods.Supporting resources are updated and available at www.prenhall.com/dorf.
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Mathematical Models of Systems
State Variable Models
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actual aircraft amplifier angle approximation bandwidth block diagram model Bode diagram Bode plot characteristic equation closed-loop system closed-loop transfer function compensator control design criterion damping ratio DC motor Design Example desired Determine differential equation disk drive dominant roots equal feedback control system frequency response gain margin Gc(s Gp(s Laplace transform linear loop transfer function m-file script magnitude MathScript matrix measure Nichols chart Nyquist Nyquist plot obtain open-loop output parameters percent overshoot phase margin PID controller poles and zeros polynomial position rad/s ramp input robot root locus root locus method s-plane second-order system sensitivity sensor settling shown in Figure signal-flow graph stability steady-state error step response system in Figure system is shown system is stable Td(s tion torque tracking error transient response unit step input unity feedback system variable vector vehicle velocity voltage zero-order hold