ObjectivesTo learn:dihbilifHow to determine the stability of a LTI system using Routh-Hurwitz criterionHow to determine system parameters to yeild stability(c) 2010 Farrokh Sharifi
Introduction(section 6 1)Introduction (section 6.1)• Control Design Requirements:Control Design Requirements:-Transient Response - Stability (in this chapter)-Stability (in this chapter)-Steady-state Errors (next chapter)•Transient response and Steady-state Error are meaningless for an unstable systemmeaningless for an unstable system.•This chapter investigates stability for linear time-invariant (LTI) systems(c) 2010 Farrokh Sharifiinvariant (LTI) systems.
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Introduction•What is stability?•System total response:( )( )( )c tctct• If results in then the LTI system is forcednaturalt ( )naturalct unstable.• If results in then the LTI system is t blt ( )0naturalctstable. • If results in remaining constant or oscillating then the LTI system is marginally stablet ( )naturalct(c) 2010 Farrokh Sharifioscillating, then the LTI system is marginally stable.