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looptuneOptions

Set options for looptune

Syntax

options = looptuneOptions
options = looptuneOptions(Name,Value)

Description

options = looptuneOptions returns the default option set for the looptune command.

options = looptuneOptions(Name,Value) creates an option set with the options specified by one or more Name,Value pair arguments.

Input Arguments

Name-Value Arguments

Specify optional pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

looptuneOptions takes the following Name arguments:

GainMargin

Target gain margin in decibels. GainMargin specifies the required gain margin for the tuned control system. For MIMO control systems, the gain margin is the multiloop disk margin. See Stability Analysis Using Disk Margins (Robust Control Toolbox) for the definition of the multiloop disk margin.

Default: 7.6 dB

PhaseMargin

Target phase margin in degrees. PhaseMargin specifies the required phase margin for the tuned control system. For MIMO control systems, the phase margin is the multiloop disk margin. See Stability Analysis Using Disk Margins (Robust Control Toolbox) for the definition of the multiloop disk margin.

Default: 45 degrees

Display

Amount of information to display during looptune runs, specified as one of the following values.

  • 'off' — Run in silent mode, displaying no information during or after the run.

  • 'iter' — Display optimization progress after each iteration. The display includes the value of the objective parameter gam after each iteration. The display also includes a Progress value, indicating the percent change in gam from the previous iteration.

  • 'final' — Display a one-line summary at the end of each optimization run. The display includes the minimized value of gam and the number of iterations for each run.

Default: 'final'

MaxIter

Maximum number of iterations in each optimization run.

Default: 300

RandomStart

Number of additional optimizations starting from random values of the free parameters in the controller.

If RandomStart = 0, looptune performs a single optimization run starting from the initial values of the tunable parameters. Setting RandomStart = N > 0 runs N additional optimizations starting from N randomly generated parameter values.

looptune tunes by finding a local minimum of a gain minimization problem. To increase the likelihood of finding parameter values that meet your design requirements, set RandomStart > 0. You can then use the best design that results from the multiple optimization runs.

Use with UseParallel = true to distribute independent optimization runs among MATLAB® workers (requires Parallel Computing Toolbox™ software).

Default: 0

UseParallel

Parallel processing flag.

When you use the RandomStart option to run multiple randomized optimization starts, you can also use parallel computing to speed up tuning by distributing the optimization runs among workers in a parallel pool. Set this flag to true to enable parallel processing. If there is an available parallel pool, then the software performs independent optimization runs concurrently among workers in that pool. If no parallel pool is available, one of the following occurs:

  • If Automatically create a parallel pool is selected in your Parallel Computing Toolbox preferences (Parallel Computing Toolbox), then the software starts a parallel pool using the settings in those preferences.

  • If Automatically create a parallel pool is not selected in your preferences, then the software performs the optimization runs successively, without parallel processing.

If Automatically create a parallel pool is not selected in your preferences, you can manually start a parallel pool using parpool (Parallel Computing Toolbox) before running the tuning command.

Using parallel processing requires Parallel Computing Toolbox software.

Default: false

TargetGain

Target value for the objective parameter gam.

The looptune command converts your design requirements into normalized gain constraints. The command then tunes the free parameters of the control system to drive the objective parameter gam below 1 to enforce all requirements.

The default TargetGain = 1 ensures that the optimization stops as soon as gam falls below 1. Set TargetGain to a smaller or larger value to continue the optimization or start sooner, respectively.

Default: 1

TolGain

Relative tolerance for termination.

The optimization terminates when the objective parameter gam decreases by less than TolGain over 10 consecutive iterations. Increasing TolGain speeds up termination, and decreasing TolGain yields tighter final values.

Default: 0.001

MaxFrequency

Maximum closed-loop natural frequency.

Setting MaxFrequency constrains the closed-loop poles to satisfy |p| <  MaxFrequency.

To allow looptune to choose the closed-loop poles automatically, based upon the system's open-loop dynamics, set MaxFrequency = Inf. To prevent unwanted fast dynamics or high-gain control, set MaxFrequency to a finite value.

Specify MaxFrequency in units of 1/TimeUnit, relative to the TimeUnit property of the system you are tuning.

Default: Inf

MinDecay

Minimum decay rate for closed-loop poles

Constrains the closed-loop poles to satisfy Re(p) < -MinDecay. Increase this value to improve the stability of closed-loop poles that do not affect the closed-loop gain due to pole/zero cancellations.

Specify MinDecay in units of 1/TimeUnit, relative to the TimeUnit property of the system you are tuning.

Default: 1e-7

Output Arguments

options

Option set containing the specified options for the looptune command.

Examples

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Create an options set for a looptune run using three random restarts. Also, set the target gain and phase margins to 6 dB and 50 degrees, respectively, and limit the closed-loop pole magnitude to 100.

options = looptuneOptions('RandomStart',3','GainMargin',6,...
                'PhaseMargin',50,'SpecRadius',100);

Alternatively, use dot notation to set the values of options.

options = looptuneOptions;
options.RandomStart = 3;
options.GainMargin = 6;
options.PhaseMargin = 50;
options.SpecRadius = 100;

Configure an option set for a looptune run using 20 random restarts. Execute these independent optimization runs concurrently on multiple workers in a parallel pool.

If you have the Parallel Computing Toolbox software installed, you can use parallel computing to speed up looptune tuning of fixed-structure control systems. When you run multiple randomized looptune optimization starts, parallel computing speeds up tuning by distributing the optimization runs among workers.

If Automatically create a parallel pool is not selected in your Parallel Computing Toolbox preferences (Parallel Computing Toolbox), manually start a parallel pool using parpool (Parallel Computing Toolbox). For example:

parpool;

If Automatically create a parallel pool is selected in your preferences, you do not need to manually start a pool.

Create a looptuneOptions set that specifies 20 random restarts to run in parallel.

options = looptuneOptions('RandomStart',20,'UseParallel',true);

Setting UseParallel to true enables parallel processing by distributing the randomized starts among available workers in the parallel pool.

Use the looptuneOptions set when you call looptune. For example, suppose you have already created a plant model G0 and tunable controller C0. In this case, the following command uses parallel computing to tune the control system of G0 and C0 to the target crossoverwc.

[G,C,gamma] = looptune(G0,C0,wc,options);

Version History

Introduced in R2016a

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See Also

| (Simulink Control Design) | (Robust Control Toolbox)

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