Research On The Dissipativity And Passivity Of Uncertain Systems  Posted on:20070615  Degree:Doctor  Type:Dissertation  Country:China  Candidate:G F Li  Full Text:PDF  GTID:1118360185491836  Subject:Control theory and control engineering  Abstract/Summary:  PDF Full Text Request  Dissipativity and passivity theories have been the focuses in control community, due to their wide applications in systems control and engineering problems. In the light of these recent studies in the fields, this dissertation provides a systematic study in robust dissipativity and passivity synthesis problems of nonlinear systems and linear timedelayed systems. Meanwhile, in the framework of dissipativity theory, almost disturbance decoupling with internal stability problem and nonlinear H_∞ control problem are also addressed. Some new design techniques are proposed and several new results are obtained. The major contents in this dissertation are as follows:1, The problem of adaptive feedback passification of a class of nonlinear systems with uncertain parameters is studied. Combining backstepping methodology with speedgradient technique, the adaptive controller and the corresponding parameter update law are obtained, which render the closedloop systems passive from new input to output.2, The robust passivity synthesis problem is concerned for a class of affine nonlinear systems with boundednorm uncertainties. Firstly, based on the nonlinear matrix inequality (NLMI) approach, the sufficient conditions under which the unforced uncertain systems are robustly passive are derived; and then, again applying NLMI approach, the solvable conditions for the problem at hand are proposed, and the parameterized state feedback controllers are explicitly expressed.3, The robustly dissipative synthesis problem is discussed for a class of affine nonlinear uncertain systems with inputoutput feedthrough. Uncertainties appear in the vector field which multiplies the control. Firstly, based on HamiltonJacobiIssacs (HJI) inequality approach, the sufficient condition under which the unforced systems are robustly dissipative is proposed; based on the former result, the solvable condition for the robustly dissipative control problem is obtained, and the corresponding state feedback controller is explicitly designed.4, The inverse optimal stabilization problem of a class of singleinput nonaffine nonlinear systems with nonlinearnonquadratic performance index is firstly addressed, and the parameterized inverse optimal controllers are designed. Secondly, when the systems are dissipative, the inverse optimal control problem is discussed in the...  Keywords/Search Tags:  nonlinear systems, timedelayed systems, uncertainty, dissipative control, passive control, adaptive control, robust control, inputtostate stable, almost disturbance decoupling, H_∞control, state feedback, observer, output feedback  PDF Full Text Request  Related items 
 
