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The theory of sliding mode control system(SMC) has been devolped in recent years.The advantages of it lie in the rejection to the external disturbances and low sensitivity to the system parameter variation. This thesis contains two parts. In part I,we present a SMC design approach for nonlinear time- varying SISO and MIMO systems.It is shown that the output tracking error can be guaratied to converged to zero with an exponential rate. The designof SMC involves two step:The first is the construction of the switching surface.The second step is the design of a switching control law.The control law included two parts: one is the nominal part determinined by only the nominal values of the system parameters; the other is the switching part which contains time varying controller gains. In part II, this thesis presents a systematic and effective method using sliding mode control for large scale systems in present of interconnected terms,system parameter variatins and bounded disturbance.
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