Observer-based linear parameter-varying control with guaranteed L2-gain and H2-type performance objectives

• Synthesis of an observer-based linear parameter-varying controller is considered for a general linearparameter-varying plant. The parameter vector and its derivative are both assumed to take values in knownbounded domains, whereas only the parameter vector is assumed to be measurable during online operation.The synthesis problem is considered for L2-gain and H2-type performance objectives. Potentially conservativeparameter-dependent linear matrix inequality conditions are derived for the solvability of these twoproblems. To facilitate the reduction of conservatism, the conditions are expressed in a way to have bilineardependence on an arbitrary positive scalar. In addition to employing a suitable relaxation scheme to reducethese conditions into finitely many constraints, a line search hence needs to be performed over the positivescalar to obtain the best achievable performance with an observer-based controller. The online implementationof the observer-based controller is relatively simpler if compared with a controller of unrestrictedstructure. Moreover, the observer-based controller will have no dependence on the parameter derivativesirrespective of the choices of the design variables.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Nyckelord

L2-gain minimization

observer-based control

linear parameter-varying systems

convex optimization

H2 synthesis

linear matrix inequalities

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art (ämneskategori)

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