Constraints

Note

Can be technical or non-technical. Useful for solving problems like Optimization Problems.

In Controls

Non-technical

• Safety
  • Stability margins for improved robustness
  • Increasing simplicity of controllers (reduce poles)
  • More robust to physical or engineered limits (tighten limits which is basically adding a safety factor)
• Economic
  • Less expensive equipment
    • Increase T which limits the performance of our control system
  • Reduce actuator wear and tear
    • Minimize the size of the control signal
    • $objective=ma{x}_{0<k\le K}(u[k])=\max (ste{p}_{ru}\ast w)$
    • Minimize control signal variability
      • $objective=|u[2:K]-u[1:(K-1)]|$ where this norm is the infinity norm
      • $||u|{|}_{\infty }=max|v_i|$
• Sustainability
  • Minimize energy use of controller
    • $objective=\text{norm}(y[1:k],2{)}^2$ where we want to minimize the output signal
    • $objective=\text{norm}(u[1:k],2{)}^2$ where we want to minimize the input signal