ROBUST CONTROL OF SYSTEMS SUBJECTED TO UNCERTAIN DISTURBANCES AND ACTUATOR DYNAMICS Rodolfo VILLAMIZAR MEJIA ISBN: 84-689-2579-9 Dipòsit legal: GI-633-2005 Universitat de Girona Departament d’Electro`nica, Informa`tica i Automa`tica Robust Control of Systems Subjected to Uncertain Disturbances and Actuator Dynamics by Rodolfo Villamizar Mej´ıa Advisors Dr. Josep Veh´ı and Dr. Ningsu Luo DOCTORAL THESIS Girona, Spain March, 2005 Universitat de Girona Departament d’Electro`nica, Informa`tica i Automa`tica Robust Control of Systems Subjected to Uncertain Disturbances and Actuator Dynamics by Rodolfo Villamizar Mej´ıa A dissertation presented to the Universitat de Girona in partial fulfillment of the requirements of the degree of DOCTOR OF PHILOSOPHY Advisors Dr. Josep Veh´ı Dr. Ningsu Luo Girona-Spain, March, 2005 Universitat de Girona Departament de Electro`nica, Informa`tica i Automa`tica Abstract Robust Control of Systems Subjected to Uncertain Disturbances and Actuator Dynamics by Rodolfo Villamizar Mej´ıa Advisors: Dr. Josep Veh´ı and Dr. Ningsu Luo January, 2005 Girona, Spain This dissertation focuses on the design and validation of robust controllers that can effectively reducevibrationsinstructuresduetoexternaldisturbancessuchasearthquakes,strongwindsor heavydynamicloads. Thedesignofthecontrollersisbasedoncontroltheoriestraditionallyused in structural control: Lyapunov stability theory, Sliding Mode Control and Clipped-Optimal Control, another recently introduced: Backstepping Control and one that had not been used before in this control area: Quantitative Feedback Theory. The main advantage by using these techniques is that some open structural problems such as actuator dynamics, uncertain distur- bances, uncertain parameters, measurement limitation and dynamic coupling can be treated. Numerical validation of the controllers proposed is performed on typical structural models. A 10-story base isolated structure, a truck-bridge structural platform and a two-span bridge are used. Theircontrolschemecontainsinheritoneomoreopenstructuralcontrolproblems. Three experimental prototypes are used to implement the robust controllers proposed, in order to ex- perimentallyverifytheirviabilityandeffectiveness. Themaincontributionofthepresentthesis isobtainingrobuststructuralcontrollers,numericallyandexperimentallyverified,thataccount structuralcontrolproblemssuchasactuatordynamics,uncertainparameters,dynamiccoupling, measurement limitations and unknown disturbances and based on novel control techniques. To whom give sense to my life: my family My parents Pedro Jesu´s and Ana In´es My wife Martha Cecilia My brothers Orlando and Jesu´s M My sisters Luz Marina, Rubiela, Gloria Carmen and Floralba All my nephews and brothers in law
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