Lectures:
Control and its history. Methods of control system design : quadratic criterion and optimum module criterion
Transfer delay , control systems with transfer delay .
Discrete-time control systems, its use. Z-transformation : definition, base records, differential equations. Modified Z-transformation. Structure of discrete control circuit.
Holding elements, sampling elements, block-diagram algebra of discrete systems, transfer function of continuous part of discrete-time systems. Transfer function of systems with transfer delay.
Discrete transfer function properties of feedback systems. Stability of discrete systems. Algebraic stability criterion.
Discrete-time control systems design, control with zero steady error and limited member of step of regulation. PSD controllers. Systems with two controllers.
Control systems design in state-space. Mathematical model design. Controllability and observability. Dynamic properties of systems, steady states.
Transformation of variables, state-space equations calculation, block-diagram algebra, control-like transformation of system. Stability.
State feedback , zeros and poles replacement, Riccati controller, observer.
Linear SISO forked control systems. MIMO control systems.
Stability of MIMO systems, autonomous and invariable systems, synthesis.
Non-linear control circuit. Elements of non-linear control system. Stability of non-linear control systems.
Limit cycle, steady state, Ljapunov theory. Equivalent transfers method, Popov criterion.
Static and dynamic optimization.
Exercises:
Comparing of design methods. Introductions to practice, class ticket requirements.
Test No. 1 : Discrete-time systems.
Exercises : MIMO control systems .
Test No. 2 : MIMO control systems .
Steady states computations, example of use of Ljapunov theory.
Exercises : Equivalent transfers method.
Computer labs:
Control systems design using quadratic criterion and optimum module criterion. PC verification.
Design of control systems with transfer delay, PC simulation.
Homework No.1 : Compensator design using quadratic criterion and optimum module criterion.
Z-transformation- examples, sampling rate determination, block-diagram algebra. PC simulation.
Computation of transfer function of continuous part of time-discrete control systems. PC verification.
Exercises : discrete-time systems stability, PC simulation.
Discrete-time linear control systems design : limited member of step of regulation. PC simulation.
Homework No.2 : Discrete control system design.
Exercises : Controllability and observability. State-space feedback design. PC Simulation
State-space controller parameters computation. Riccati controller design using PC.
Control and its history. Methods of control system design : quadratic criterion and optimum module criterion
Transfer delay , control systems with transfer delay .
Discrete-time control systems, its use. Z-transformation : definition, base records, differential equations. Modified Z-transformation. Structure of discrete control circuit.
Holding elements, sampling elements, block-diagram algebra of discrete systems, transfer function of continuous part of discrete-time systems. Transfer function of systems with transfer delay.
Discrete transfer function properties of feedback systems. Stability of discrete systems. Algebraic stability criterion.
Discrete-time control systems design, control with zero steady error and limited member of step of regulation. PSD controllers. Systems with two controllers.
Control systems design in state-space. Mathematical model design. Controllability and observability. Dynamic properties of systems, steady states.
Transformation of variables, state-space equations calculation, block-diagram algebra, control-like transformation of system. Stability.
State feedback , zeros and poles replacement, Riccati controller, observer.
Linear SISO forked control systems. MIMO control systems.
Stability of MIMO systems, autonomous and invariable systems, synthesis.
Non-linear control circuit. Elements of non-linear control system. Stability of non-linear control systems.
Limit cycle, steady state, Ljapunov theory. Equivalent transfers method, Popov criterion.
Static and dynamic optimization.
Exercises:
Comparing of design methods. Introductions to practice, class ticket requirements.
Test No. 1 : Discrete-time systems.
Exercises : MIMO control systems .
Test No. 2 : MIMO control systems .
Steady states computations, example of use of Ljapunov theory.
Exercises : Equivalent transfers method.
Computer labs:
Control systems design using quadratic criterion and optimum module criterion. PC verification.
Design of control systems with transfer delay, PC simulation.
Homework No.1 : Compensator design using quadratic criterion and optimum module criterion.
Z-transformation- examples, sampling rate determination, block-diagram algebra. PC simulation.
Computation of transfer function of continuous part of time-discrete control systems. PC verification.
Exercises : discrete-time systems stability, PC simulation.
Discrete-time linear control systems design : limited member of step of regulation. PC simulation.
Homework No.2 : Discrete control system design.
Exercises : Controllability and observability. State-space feedback design. PC Simulation
State-space controller parameters computation. Riccati controller design using PC.