PPT-P-only controller via root locus

by Frank Owen PhD PE polyXengineering Inc San Luis Obispo California Ponly controller simple gain adjustment K P 0 K I 0 K D 0 Controller does not change root locus of existing G. 83 117 brPage 10br Example 210 120 90 brPage 11br Imaginary axis crossing point Note sxj o Example kG brPage 12br r r Example brPage 13br Grants Rule Note Ps kZs sas as asa brPage 14br Example 57360f of brPage 15br ds dp brPage 16br Example of brPage 50 pts Root Locus For each of the systems with open loop transfer function given below i Apply root locus rules 1 to 4 specifying asymptotes angles of a rrival and angles of departure ii Determine the frequency of any imaginary axis crossing iii Ha Control . Systems (MCS). Dr. Imtiaz Hussain. Assistant Professor. email: . imtiaz.hussain@faculty.muet.edu.pk. URL :. http://imtiazhussainkalwar.weebly.com/. Lecture-11. Introduction to Compensation. Lect. 5 Lead-Lag Control. Basil Hamed. Control Systems. Basil Hamed. 2. Compensators. Early . in the course we provided some useful . guidelines regarding . the relationships between the pole . positions of . Control . Systems (MCS). Dr. Imtiaz Hussain. Assistant Professor. email: . imtiaz.hussain@faculty.muet.edu.pk. URL :. http://imtiazhussainkalwar.weebly.com/. Lecture-9-10. Examples of Root Locus. Lecture Outline. Lect.8 . Root Locus Techniques. Basil Hamed. Chapter Learning Outcomes. After . completing this chapter the student will be able to. :. Define . a root locus (Sections 8.1-8.2). State . the properties of a root locus (Section 8.3). By Frank Owen, PhD, PE. polyXengineering, Inc.. San Luis Obispo, California. Purpose of integral control. The primary purpose of using integral control is to reduce or eliminate steady-state error. In Controls, usually you don’t get something for nothing. By Frank Owen, PhD, PE. polyXengineering, Inc.. San Luis Obispo, California. Purpose of Derivative control. You do not like the dynamics of an existing system. You want to place the closed-loop poles at a point that is not on the current root locus. CEN455: Dr. Nassim Ammour. Root Locus . Techniques. Root . locus is . a graphical presentation of the closed-loop poles as a system . parameter k is varied. . The . graph of all possible roots of this equation (K is the variable parameter) is called the root . by Frank Owen, PhD, PE. polyXengineering, Inc.. San Luis Obispo, California. general aims for any controller. Reduce percent overshoot. Shorten time to reach peak value after a step change (minimize T. By Frank Owen, PhD, PE. polyXengineering, Inc.. San Luis Obispo, California. Purpose of integral control. The primary purpose of using integral control is to reduce or eliminate steady-state error. In Controls, usually you don’t get something for nothing. By Frank Owen, PhD, PE. polyXengineering, Inc.. San Luis Obispo, California. Purpose of Derivative control. You do not like the dynamics of an existing system. You want to place the closed-loop poles at a point that is not on the current root locus. by Frank Owen, PhD, PE. polyXengineering, Inc.. San Luis Obispo, California. general aims for any controller. Reduce percent overshoot. Shorten time to reach peak value after a step change (minimize T. Lesson . Objectives. : After finish this lesson, students will be able to. be aware of the control system problem. be aware of the vector representation of complex . . . number. define the root locus.