Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the optimal control of feedback linearizable dynamical systems subject to mixed state and control constraints. In general, a linearizing feedback control does not minimize the cost function. Such problems arise frequently in astronautical applications where stringent performance requirements demand optimality over feedback linearizing controls. ,  consider a pseudospectral (PS) method to compute optimal controls.  prove that a sequence of solutions to the PS-discretized constrained problem converges to the optimal solution of the continuous-time optimal control problem under mild and numerically verifiable conditions. The spectral coefficients of the state trajectories provide a practical method to verify the convergence of the computed solution. The proposed ideas are illustrated by several numerical examples.
['Qi Gong', 'Wei Kang', 'I.M. Ross']
I am writing a research paper on a idea A pseudospectral method for the optimal control of constrained feedback linearizable systems
[{"from": "human", "value": "I am writing a research paper on a idea A pseudospectral method for the optimal control of constrained feedback linearizable systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the optimal control of feedback linearizable dynamical systems subject to mixed state and control constraints. In general, a linearizing feedback control does not minimize the cost function. Such problems arise frequently in astronautical applications where stringent performance requirements demand optimality over feedback linearizing controls. ,  consider a pseudospectral (PS) method to compute optimal controls.  prove that a sequence of solutions to the PS-discretized constrained problem converges to the optimal solution of the continuous-time optimal control problem under mild and numerically verifiable conditions. The spectral coefficients of the state trajectories provide a practical method to verify the convergence of the computed solution. The proposed ideas are illustrated by several numerical examples."}]