Finite-Time Terminal Sliding Mode Control For Several Kinds Of Singular Systems

In this thesis, the problems of the finite-time terminal sliding mode control for singular systems, singular uncertain systems and discrete singular bilinear systems are studied by means of a nonsingular linear transformed, Lyapuriov function and sliding mode variable structure control. This thesis is constructed as follows:1. The finite-time terminal sliding mode controlling of a class of singular systems is studied. Firstly, the singular systems are transformed into the first restricted equivalent form by a nonsingular linear transforming. Secondly, a finite-time terminal sliding mode controlling is considered by Lyapunov function, and both a terminal sliding mode hypersurface and a controller are given respectively, in order to make the closed-loop system asymptotic stable, realize the motion of sliding mode, and make the system state variables close to the equilibrium point in finite time.2. The finite-time terminal sliding mode controlling for a class of singular uncertain systems is studied. Based on the nonsingular linear transforming, the uncertain singular systems are transformed into a restricted equivalent form. Then, a terminal sliding mode hypersurface and a controller are given by the Lyapunov stability theory. In this way, the part of uncertain of the singular uncertain systems is eliminated. And the singular uncertain systems are changed to singular systems and the system state variables are finally converge to zero in limited time.3. A finite-time sliding mode controller designing for a class of discrete singular bilinear systems is studied by the approach of variable structure controlling. Firstly, the ideal quasi-sliding mode and the reaching condition which is described with reaching law for discrete singular bilinear systems structure controlling is given by Lyapunov function. Secondly, sliding mode controllers are designed to make the regular discrete singular bilinear systems causal and stable, and make the dynamic mode reached the switching surface and began sliding mode action in finite time.Finally, numerical examples are presented to illustrate the feasibility and effectiveness of the designing.