Web-Based Control System Design and Analysis

This Web service for interactive control system design and analysis is part of Ch Control System Toolkit. The source code for this Web-based module is included in the distribution of Ch Control System Toolkit. The users can extend it to solve many Web-based applications. Ch Control System Toolkit supports most classical and modern control techniques through object-oriented programming based on a control class. It can seamlessly interface existing C/C++ code in either source code or binary static/dynamical libraries without re-compilation. It can even be embedded in other application programs.

This Web-based system can be used for modeling, design, and analysis of continuous-time or discrete-time linear time-invariant (LTI) control systems. A control system can be modeled in the form of transfer functions, zero-pole-gain, or state-space.

	Function		Description
Time Domain Response Analysis
	Step response		Plot step response of a system in time domain.
	Impulse response		Plot impulse response of a system in time domain.
	Initial response		Plot time domain initial response of a system represented in state space.
	Simulation response		Simulate system response to an arbitrary input.
Frequency Domain Analysis
	Bode diagram		Plot the Bode frequency response of a system.
	Gain and phase margin		Calculate the gain and phase margins of a system.
	Nichols chart		Plot the Nichols frequency response of a system.
	Nyquist diagram		Plot the Nyquist frequency response of a system.
	Frequency response		Calculate the system frequency response.
Analysis and Design in State-Space
	Controllability analysis		Check whether a system is controllable.
	Controllability staircase		Compute the controllability staircase form.
	Grammian		Compute the controllability and observability grammians of a state-space model.
	LQE design		Kalman estimator design for continuous-time systems.
	LQG design		Design optimal linear quadratic state-feedback regulator for continuous-time plant.
	Lyapunov equation solvers		Solve Lyapunov equation.
	Observability analysis		Check whether a system is observable.
	Observability staircase		Compute observability staircase form.
	Pole placement		Compute the feedback gain matrix k such that the closed loop poles are at the desired locations.
Model Reduction and Dynamics
	Bandwidth		Calculate the bandwidth of a SISO system.
	Pole-zero map		Plot the pole-zero map of an LTI model.
	Damping factors and natural frequencies		Compute the damping factors and natural frequencies of system poles.
	DC gain		Compute low frequency (DC) gain of the system.
	Sort poles		Sort the poles of systems.
	Minimal realization		Find a minimal realization of an LTI model.
	Pole-zero cancellation		Cancel the pole-zero pairs with same value of a system.
Root Locus Design
	Root locus		Plot the root locus of a SISO system.
Model Conversion
	State-space model		Find state-space equations for a system given transfer function or zero-pole-gain representation.
	Transfer function model		Find transfer function for a system given state-space equations or zero-pole-gain representation.
	ZPK model		Find zero-pole-gain representation for a system given state-space equations or transfer function.
System Conversion
	Coordinate transformation		Change state coordinates for state-space models.
	Continuous-time to discrete-time		Convert continuous-time models to discrete-time models.
	Discrete-time to continuous-time		Convert discrete-time models to continuous-time models.
	Discrete-time to discrete-time		Create an equivalent discrete-time model with new sample time.
	Delay2z		Map all time delays to poles at z equal to 0 for discrete-time system.
System Interconnection
	Series		Series interconnection of two LTI models.
	Parallel		Parallel interconnection of two LTI models.
	Feedback		Feedback interconnection of two LTI models.
	Append		Group LTI models by appending their inputs and outputs.
	Connect		Connect two LTI models, user can define inputs and outputs of the connected system.
Compensator Design via Root Locus