The main objective of the lateral guidance algorithm is to keep the vehicle on preplanned desired path by controlling the lateral track errors during flight and to keep them as small as possible by generating suitable reference commands. Cross track (lateral) error control of unmanned aerial vehicles (UAVs) in the presence of uncertainties and disturbances with bounded control input (φref ) is a challenging task. The path following guidance law needs to be devised using generalized kinematic model and by explicitly considering the UAV autopilot dynamics. However, the inclusion of these dynamics into guidance design further complicates the problem by increasing the relative degree, and stability, and control boundedness becomes difficult to analyze. To address these challenges, several studies for inclusion of autopilot dynamics into guidance design are presented in this thesis for lateral path following applications. Firstly, the guidance and control framework based on sliding mode theory is presented to solve the two dimensional path-following problem. Limitations of the existing nonlinear sliding surface for lateral guidance are indicated and thus two novel stable nonlinear sliding manifolds are proposed for the guidance problem. The two surfaces are then employed to generate two new nonlinear guidance laws for UAV path following. The proposed guidance schemes rely on First Order Sliding Mode Control (FOSMC) algorithm derived at the kinematic level generating reference bank commands. The autopilot based on super twisting algorithm using linear sliding surface forms the inner control loop for control actuation. The autopilot is involved in the feedback nonlinear sliding mode based guidance law design for path following of UAVs. The major contribution of this work is the dynamics of the autopilot taken into account for guidance law design, along-with saturation constraints on guidance commands for high performance in all scenarios. To solve relative degree two problem, a nonlinear sliding manifold is used with real twisting algorithm for guidance design, the guidance loop generates bank angle commands for executing roll maneuvers. The strategy provides a framework to implement the developed controller on the experimental vehicle without modifying the key structure of the original autopilot controller. viii Moreover, an innovative sliding mode based partially integrated lateral guidance and control scheme for UAVs is proposed. Guidance and control framework based on second order sliding modes is presented to solve the problem of two dimensional path-following. The main contribution of the technique presented here is the partial integration of the two loops i.e., a guidance and control system via series interconnection of two stable sliding manifolds. The proposed guidance scheme relies on a nonlinear switching surface with the real twisting algorithm derived at the kinematic level, generating roll error commands. The autopilot based on the super-twisting algorithm using a linear sliding surface forms the autopilot loop. Finally, a new guidance law for accurate following of flight path to observe tight ground track control is presented. The unique feature is to explicitly account for autopilot constraints by defining a 3-D sliding manifold. The guidance solution described is based on state stabilization of kinematics-dynamics trajectories i.e., the guidance law is evolved based on the knowledge of dynamical characteristics of the UAV. A robust FOSMC guidance algorithm is derived using the nonlinear 3-D sliding manifold to develop the guidance law. For the proposed schemes, proof of existence of sliding mode, actuation boundedness and performance of the path-following closed-loop system is analyzed. Flight results validate the performance and effectiveness of the proposed framework for guidance and control design. Keywords: Sliding Mode Control, Unmanned Aerial Vehicles (UAVs), Guidance & Control, Sliding Surface, Cross Track Error, Lateral Guidance.
This report is principally intended to ascertain out the result of the lunar calendar with special focus on the holy month of Ramadan on the operation of Islamic mutual funds in Pakistan. Economic activity in Pakistan demands a different turn due to observation of fast and short working hours in the country in the month of Ramadan. This work utilizes the logit model to investigate the impact of lunar calendar generally and the holy month of Ramadan, specifically along the net asset values of the mutual fund. This study confirms lower expected growth of net asset value in the month of Ramadan and the other stages of the religious sentiment. Economic activity regains pace after Ramadan and Zulhajjah as evident from the probable increase of net asset value of the Islamic mutual funds in the month of Shawwal & Moharram following months of the Ramadan and Zulhajjah respectively.
Rheumatoid Arthritis (RA) is an autoimmune disorder which is associated with swelling and inflammation in the synovial membrane of joints leading to bone and joint damage. Etiology of this disorder still needs a comprehensive understanding however the relationship among different factors of genetics and environment is supposed to lead towards the occurrence of this disease with 65% involvement of inheritance and the rest being attributed to the environment. Approximately one percent of the global population which usually comprises the adults and is mostly from the developed states is affected by this disorder whereas Pakistan’s prevalence for this disease is reported to be around 0.1-0.5%. Several studies in the past have identified and named a range of variants and loci which are found connected with RA incidence in inhabitants of diverse populations. The T-cell Activation RhoGTPase Activating Protein (TAGAP) is one such gene which is considered meticulously significant in RA and other autoimmune disorders because of its involvement in T cells activation. Considering the SNP association studies, so far three TAGAP gene polymorphisms have been reported to have significant association with RA in different populations of Europe and they are rs212389, rs182429 and rs394581. Present study was aimed to carry out both in-vitro and in-vivo investigations on different aspects of the TAGAP gene including the association of its SNPs with RA in Pakistani population, kinetics of its expression in this disease and computational analysis of its missense SNPs to identify the deleterious mutations which could lead to the malfunctioning of this gene. A SNP association study on Pakistani RA patients (n=186) and healthy controls (n=185) was carried out through Taqman SNP genotyping assays. The results showed that the TAGAP polymorphism rs182429 is associated with Rheumatoid Arthritis (P=0.0014) under recessive genetic model while no association was found for the other SNP rs212389. Investigating TAGAP expression in cia mice model showed descending pattern in spleen and lymph nodes (P<0.01) while the disease affected paws depicted an increase in the gene expression. This altered expression reflects the movement of leukocytes towards the antigen presentation sites and then to the disease site with the progression of the immune response. Kinetics of the TAGAP mRNA expression analysis revealed notably higher levels of TAGAP in RA patients from both European and Pakistani population (P<0.05). IFNγ was also found significantly higher in RA patients (P<0.05) but no correlation was detected between TAGAP and IFNγ. The in silico approach to analyze missense SNPs in TAGAP revealed three highly damaging non-synonymous missense SNPs which might affect the protein’s structure and/or function. These are Glycine to Glutamic Acid at site 120, Glycine to Tryptophan at site 141 and Valine to Methionine at site 151.It can be stated that this project will help in exploring therapeutic strategies for RA hence will contribute in the management of the disease and that would be a great benefit for upcoming generations.