Control System Toolbox™ provides industry-standard algorithms and apps for systematically analyzing, designing, and tuning linear control systems. You can specify your system as a transfer function, state-space, zero-pole-gain, or frequency-response model. Apps and functions, such as step response plot and Bode plot, let you visualize system behavior in time domain and frequency domain. You can tune compensator parameters using automatic PID controller tuning, Bode loop shaping, root locus method, LQR/LQG design, and other interactive and automated techniques. You can validate your design by verifying rise time, overshoot, settling time, gain and phase margins, and other requirements.
Models of linear time-invariant systems
Series, parallel, and feedback connections; block diagram building
Model type conversion, continuous-discrete conversion, order reduction
Time- and frequency-domain responses, stability margins, parameter sensitivity
Control system design and tuning, PID tuning, Kalman filters
Controllability and observability, Lyapunov and Riccati equations