Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  develop a new analysis of the behavior of simplex control methods applied to multiple-input-multiple-output nonlinear control systems under uncertainties. According to such sliding-mode control methods the control vector is constrained to belong to a finite set of (fixed or varying) vectors, with an appropriate switching logic to guarantee the specified sliding condition. Bounded uncertainties acting on the nominal system are allod. The proposed sliding control methodology relies on the knowledge of the nominal system only.  prove rigorously the convergence of these methods to the sliding manifold in a finite time under explicit quantitative conditions on the system parameters and the available bounds of the uncertainty. Application to a robotic problem is discussed and a nonlinear example is presented.
['Giorgio Bartolini', 'Elisabetta Punta', 'Tullio Zolezzi']
I am writing a research paper on a idea Simplex methods for nonlinear uncertain sliding-mode control
[{"from": "human", "value": "I am writing a research paper on a idea Simplex methods for nonlinear uncertain sliding-mode control"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  develop a new analysis of the behavior of simplex control methods applied to multiple-input-multiple-output nonlinear control systems under uncertainties. According to such sliding-mode control methods the control vector is constrained to belong to a finite set of (fixed or varying) vectors, with an appropriate switching logic to guarantee the specified sliding condition. Bounded uncertainties acting on the nominal system are allod. The proposed sliding control methodology relies on the knowledge of the nominal system only.  prove rigorously the convergence of these methods to the sliding manifold in a finite time under explicit quantitative conditions on the system parameters and the available bounds of the uncertainty. Application to a robotic problem is discussed and a nonlinear example is presented."}]