Design of nano- and microsystems with novel control laws

This paper solves nonlinear control problems to optimize dynamic nano- and microscale systems. We use the Hamilton-Jacobi theory to analytically design optimal controllers. The system dynamics is optimized by minimizing designed novel functionals with a new class of nonquadratic performance integrands. Necessary conditions for optimality are utilized and examined synthesizing innovative optimal control laws. The proposed performance functionals results in nonlinear controllers which guarantee superior performance, e.g., stability, robustness, minimum-time dynamics, etc. We synthesize and examine optimal controllers for practical nano- and microsystems.