Control of Nonlinear Dynamic Systems

This report focuses on modeling the thermal behavior of buildings and design-ing a nonlinear control for their HVAC systems. The problem of developing a good model to capture the heat storage and heat transmission properties of building thermal elements such as rooms and walls is addressed by using the lumped capacitance method. The nonlinear equations governing the system dynamics are derived using the thermal circuit approach. Fist we have ap-proached the problem by linearizing the system about an equilibrium point, which yields a linear model. Then we have implemented some nonlinear con-trol techniques in order to investigate the importance and effectiveness of the nonlinearities of the system. The controllability and observability anal-ysis are done using Lie bracket and Lie derivative operations in the next section. We have implemented input-output linearization and input-state linearization techniques to transform the original system model into equiva-lent models of simpler forms. This approach is completely different from th