Advanced form z transform
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Integrated and unified theoretical and practical approach in continuous-time and discrete-time control engineering and their applications. With a system described in a continuous-time representation, express the corresponding system in a discrete-time representation and be able to map between the s-plane of continuous systems to z-plane of discrete-time systems.Model and represent discrete time signals and systems using the z Transform and solve LTI difference equation and the systems that these equations describe using the inverse z transform and the z plane.Based on a performance specification, design a suitable digital compensator for a discrete-time system using z-transform and on the z-plane using root-locus analysis.Apply Eigenvalue analysis to determine poles and subsequent stability of state-space system.
#Advanced form z transform full#
Describe the notion of controllability and observability for both continuous and discrete-time systems and design full and reduced-order state observers and state feedback and integral controllers.Given a physical system, conceive a set differential equations and difference equations describing continuous and discrete-time model of the system and representing it state-space.Convert a continuous time system to a discrete-time system and vice-versa.Analyze and synthesize discrete time control systems using the z transform and root locus.Extend modelling principles to describe discrete-time systems and represent them using pulse transfer functions and state-space.Assess the controllability and observability of LTI state-space continuous-time and discrete-time systems for stability analysis, design of controllers and regulators with specific dynamic performances.Represent physical systems in continuous state-space canonical forms and solve the linear time-invariant (LTI) state equation.It has wide applications including, mechatronics, robotics, automation, space technology, transportation & aviation, medical systems, financial markets and energy management. The goal of this class is to build on understanding of linear time-invariant state space systems to synthesize and evaluate advanced feedback controllers as well as digital implementation of such controllers.