Question

How do you simplify an expression with s and K within MATLAB for a closed-loop system?

a) 'simplify_closed_loop()' function
b) 'closed_loop_simplify()' command
c) 'simplify_expression()' function
d) Enter 'simplify_cl_sys' in the command window

Answer 1

Option (d), To simplify expressions with variables in MATLAB for a closed-loop system, use the 'simplify' function after defining the variables and expression with 'syms'. This is a general symbolic simplification tool, not specific to closed-loop systems.

Step-by-step explanation:

To simplify an expression with variables such as s and K within MATLAB for a closed-loop system, you would not use any of the options a) 'simplify_closed_loop()', b) 'closed_loop_simplify()', c) 'simplify_expression()', or d) 'simplify_cl_sys'. Instead, MATLAB uses the 'simplify' function for symbolic simplification of expressions.

To use this function, you first need to define your symbolic variables and expressions using the syms function. Once you have your closed-loop system expression, you can call 'simplify(expression)' where 'expression' is the symbolic expression of your closed-loop system you want to simplify. Here's a step-by-step example:

1. Define the symbolic variables:
   syms s K
2. Define your closed-loop system expression.
   expression = (K/(s^2 + s*K));
3. Simplify the expression.
   simplifiedExpression = simplify(expression);

Note that MATLAB's symbolic toolbox must be installed to use these features. The 'simplify' function will attempt to provide a more compact form of the expression, but it's not specific to control systems – it is a general symbolic simplification tool.